Matematiikan ja systeemianalyysin laitos

Tutkimusraportit

Allaolevassa luettelossa ovat viimeisimmät tutkimusraporttimme. Science + Technology-sarja korvasi vuoden 2011 alusta vanhat raporttisarjat A ja C. Paperikopioita voi pyytää osoitteesta math [A]tkk_fi .

Helsinki University of Technology Institute of Mathematics Research Reports A

A598: Stig-Olof Londen, Hana Petzeltová; Regularity and separation from potential barriers for a non-local phase-field system [pdf][ps]; Received 2010-12-21 * non-local phase-field systems; regularity of solutions; separation property; convergence to equilibria * AMS 35B40, 35B45, 35K65, 45K05 * 15 pages
A597: Mikko Byckling; Preconditioning for standard and two-sided Krylov subspace methods [pdf][ps]; Received 2010-12-30 * minimal residual methods, Krylov subspaces, nonsymmetric systems, preconditioning, approximate inverses * AMS 65F10,65F05,65F08 * 176 pages
A596: Olavi Nevanlinna; Multicentric Holomorphic Calculus [pdf][ps]; Received 2010-11-25 * Jacobi series, spectrum, holomorphic functional calculus, polynomial numerical hull * AMS 30B99, 32E30, 34L16, 47A10, 47A60 * 21 pages
A595: Juho Könnö, Rolf Stenberg; Numerical computations with H(div)-finite elements for the Brinkman problem [pdf][ps]; Received 2010-11-25 * Brinkman equation, H(div) conforming, SIPG, Nitsche, a posteriori, computations * AMS 65N30 * 21 pages
A594: Atte Aalto, Jarmo Malinen; Cauchy problems from networks of passive boundary control systems [pdf][ps]; Received 2010-10-15 * boundary control, passive system, distributed parameter system, well-posedness, composition, Cauchy problem * AMS 35R02, 47A48, 47N70, 35L65 * 25 pages
A593: Toni Lassila; Model reduction and level set methods for shape optimization problems [pdf][ps]; Received 2010-10-01 * shape optimization, topological optimization, level set method, model reduction, reduced basis method, partial differential equations * AMS 35R35, 49Q10, 65K10 * 31 pages
A592: Olavi Nevanlinna; Upper bounds for R-linear resolvents [pdf][ps]; Received 2010-09-21 * real linear operator, resolvent operator, spectrum * AMS 47A10 * 8 pages
A591: Juhana Siljander; Regularity for degenerate nonlinear parabolic partial differential equations [pdf][ps]; Received 2010-09-27 * regularity, existence, higher regularity, Moser's iteration, reverse Hölder inequality, Caccioppoli inequality, Schwarz alternating method, obstacle problem * AMS 35K65, 35K10, 35B65, 35D30 * 20 pages
A590: Ehsan Azmoodeh; Riemann-Stieltjes integrals with respect to fractional Brownian motion and applications [pdf][ps]; Received 2010-09-06 * fractional Brownian motion, pathwise stochastic integral, quadratic variation, functions of bounded variation, arbitrage, pricing by hedging, approximative hedging, proportional transaction costs * AMS 60G15, 60H05, 62M15, 91B28, 91B70 * 98 pages
A589: Antti Rasila, Jarno Talponen; Convexity properties of quasihyperbolic balls on Banach spaces [pdf][ps]; Received 2010-08-06 * quasihyperbolic metric, distance ratio metric, uniform convexity, starlikeness, Banach spaces, Hilbert spaces, Radon-Nikodym property * AMS 30C65, 46T05 * 19 pages
A588: Kalle Mikkola; Real solutions to control, approximation, factorization, representation, Hankel and Toeplitz problems [pdf][ps]; Received 2010-06-07 * Real-symmetric functions, real coprime factors, real state-feedback operators, real stabilizing controllers, real optimal control, real Hilbert spaces * AMS 93D25, 49N10, 93D15, 47B35, 47A68 * 25 pages
A587: Antti Hannukainen, Rolf Stenberg, Martin Vohralík; A unified framework for a posteriori error estimation for the Stokes problem [pdf][ps]; Received 2010-05-14 * Stokes problem, a posteriori error estimate, guaranteed upper bound, unified framework, conforming finite element method, discontinuous Galerkin method, nonconforming finite element method, mixed finite element method, finite volume method * AMS 65N15, 76M12, 76S05 * 32 pages
A586: Kui Du, Olavi Nevanlinna; Minimal residual methods for solving a class of R-linear systems of equations [pdf][ps]; Received 2010-05-06 * R-linear GMRES, equivalent real formulation, spectral analysis * AMS 65F10, 15A18 * 12 pages
A585: Daniel Aalto; Boundedness of maximal operators and oscillation of functions in metric measure spaces [pdf][ps]; Received 2010-03-31 * doubling measure, maximal functions, discrete convolution, BMO, John-Nirenberg inequality, rearrangements * AMS 42B25, 43A85, 46E35 * 16 pages
A584: Tapio Helin; Discretization and Bayesian modeling in inverse problems and imaging [pdf][ps]; Received 2010-02-25 * inverse problems, Mumford-Shah functional, Bayesian inversion, hierarchical modeling, discretization invariance, image model, Borel measure, metric space * AMS 60F17, 35A15, 65C20, 65D18 * 29 pages
A583: Wolfgang Desch, Stig-Olof Londen; Semilinear stochastic integral equations in Lp [pdf][ps]; Received 2009-12-31 * semilinear stochastic integral equations, stochastic fractional differential equation, regularity, nonnegative operator, Volterra equation, singular kernel * AMS 60H15, 60H20, 45N05 * 26 pages
A582: Juho Könnö, Rolf Stenberg; Analysis of H(div)-conforming finite elements for the Brinkman problem [pdf][ps]; Received 2010-01-02 * Brinkman equations, Nitsche's method, mixed finite element methods, a posteriori * AMS 65N30 * 19 pages
A581: Wolfgang Desch, Stig-Olof Londen; An Lp-theory for stochastic integral equations [pdf][ps]; Received 2009-11-11 * stochastic integral equations, stochastic fractional differential equation, regularity, nonnegative operator, Volterra equation, singular kernel * AMS 60H15, 60H20, 45N05 * 25 pages
A580: Juho Könnö, Dominik Schötzau, Rolf Stenberg; Mixed finite element methods for problems with Robin boundary conditions [pdf][ps]; Received 2009-11-21 * mixed finite element methods, Robin boundary conditions, postprocessing, a posteriori analysis * AMS 65N30 * 19 pages
A579: Lasse Leskelä, Falk Unger; Stability of a spatial polling system with greedy myopic service [pdf][ps]; Received 2009-09-11 * spatial queueing system, dynamic traveling repairman, quadratic Lyapunov functional, spatial-temporal point process, spatial birth-and-death process * AMS 60K25 * 24 pages
A578: Jarno Talponen; Special symmetries of Banach spaces isomorphic to Hilbert spaces [pdf][ps]; Received 2009-09-03 * ultratechniques, rotations, characterizations of Hilbert spaces, dynamics of topological groups * AMS 46B04, 46B08 * 10 pages
A577: Fernando Rambla-Barreno, Jarno Talponen; Uniformly convex-transitive function spaces [pdf][ps]; Received 2009-09-03 * Banach spaces, uniform convex-transitivity, convex-transitive, almost transitive, vector-valued function spaces, rotations * AMS 46B04, 46B20, 46B25 * 19 pages
A576: Saminathan Ponnusamy, Antti Rasila; On zeros and boundary behavior of bounded harmonic functions [pdf][ps]; Received 2009-08-28 * analytic and planar harmonic functions, angular limits, multiplicity of zeroes * AMS 30C15, 31A20 * 10 pages
A575: Harri Hakula, Antti Rasila, Matti Vuorinen; On moduli of rings and quadrilaterals: algorithms and experiments [pdf][ps]; Received 2009-08-28 * conformal capacity, conformal modulus, quadrilateral modulus, hp-FEM, numerical conformal mapping * AMS 65E05, 31A15, 30C85 * 21 pages
A574: Lasse Leskelä, Philippe Robert, Florian Simatos; Stability properties of linear file-sharing networks [pdf][ps]; Received 2009-07-03 * peer-to-peer algorithms, killed branching processes * AMS 60K25 * 30 pages
A573: Mika Juntunen; Finite element methods for parameter dependent problems [pdf][ps]; Received 2009-06-23 * finite element method, boundary conditions, Nitsche's method, a posteriori estimation, Stokes equation, Darcy equation, Brinkman equation * AMS 65N30 * 14 pages
A572: Bogdan Bojarski; Differentiation of measurable functions and Whitney-Luzin type structure theorems [pdf][ps]; Received 2009-06-03 * Whitney jet, Markov inequality, approximate differentiablity * AMS 46E35 * 30 pages
A571: Lasse Leskelä; Computational methods for stochastic relations and Markovian couplings [pdf][ps]; Received 2009-06-01 * Markovian coupling, stochastic comparison, stochastic order, stochastic relation * AMS 60B99, 60E15, 60J25 * 18 pages
A570: Janos Karatson, Sergey Korotov; Discrete maximum principles for FEM solutions of nonlinear elliptic systems [pdf][ps]; Received 2009-05-20 * elliptic system, finite element method, discrete maximum principle * AMS 65N50, 65M50 * 53 pages
A569: Antti Hannukainen, Mika Juntunen, Rolf Stenberg; Computations with finite element methods for the Brinkman problem [pdf][ps]; Received 2009-04-14 * Brinkman equation, Stokes equation, Darcy equation, MINI, Taylor-Hood, stabilized methods, a posteriori, adaptive * AMS 65N30 * 19 pages
A568: Olavi Nevanlinna; Computing the spectrum and representing the resolvent [pdf][ps]; Received 2009-04-08 * resolvent operator, spectrum, polynomial numerical hull, numerical range, semidecidable, quasialgebraic operator, residue calculus, perturbation * AMS 47A10, 47A12, 47A66 * 21 pages
A567: Antti Hannukainen, Sergey Korotov, Michal Krizek; On a bisection algorithm that produces conforming locally refined simplicial meshes [pdf][ps]; Received 2009-04-09 * bisection algorithm, simplicial elements, conforming finite element method, local refinements, nested meshes * AMS 65N50, 65M50 * 11 pages
A566: Mika Juntunen, Rolf Stenberg; A residual based a posteriori estimator for the reaction-diffusion problem [pdf][ps]; Received 2009-02-24 * reaction-diffusion, a posteriori, singularly perturbed * AMS 65N30 * 7 pages
A565: Ehsan Azmoodeh, Yulia Mishura, Esko Valkeila; On hedging European options in geometric fractional Brownian motion market model [pdf][ps]; Received 2009-02-10 * arbitrage, pricing by hedging, geometric fractional Brownian motion, stochastic integrals * AMS 91B28, 91B70, 60G15, 60H05 * 16 pages
A564: Antti H. Niemi; Best bilinear shell element: flat, twisted or curved? [pdf][ps]; Received 2009-02-17 * shell elements, locking, shell layers, shell vibration modes, asymptotic behavior * AMS 74S05, 74K25 * 27 pages
A563: Dmitri Kuzmin, Sergey Korotov; Goal-oriented a posteriori error estimates for transport problems [pdf][ps]; Received 2009-02-10 * stationary convection-diffusion equations, the finite element method, a posteriori error estimates, goal-oriented quantities, mesh adaptation * AMS 65N15, 65N50, 76M30 * 16 pages
A562: Antti H. Niemi; A bilinear shell element based on a refined shallow shell model [pdf][ps]; Received 2008-12-18 * shells, finite elements, locking * AMS 74S05, 74K25 * 30 pages
A561: Antti Hannukainen, Sergey Korotov, Michal Krizek; On nodal superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations [pdf][ps]; Received 2008-12-02 * higher order error estimates, tetrahedral and prismatic elements, superconvergence, averaging operators * AMS 65N30 * 13 pages
A560: Sampsa Pursiainen; Computational methods in electromagnetic biomedical inverse problems [pdf][ps]; Received 2008-11-24 * inverse problems, electromagnetics, biomedical imaging, electroencephalography/magnetoencephalography (EEG/MEG), electrical impedance tomoraphy (EIT), limited-angle computerized tomography (limited-angle CT), regularization, Bayesian methodology, Markov chain Monte Carlo (MCMC), factorization method of Kirsch, forward modeling and simulation, h-FEM, p-FEM * AMS 92C55, 78A70, 15A29, 35R30, 65R32 * 50 pages
A559: Sergey Korotov, Michal Krizek, Jakub Solc; On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix [pdf][ps]; Received 2008-11-28 * discrete maximum principle, finite element method, acute triangulations, full diffusion tensor * AMS 65N30, 65N50 * 10 pages
A558: José Igor Morlanes, Antti Rasila, Tommi Sottinen; Empirical evidence on arbitrage by changing the stock exchange [pdf][ps]; Received 2008-12-09 * arbitrage, option-pricing volatility * AMS 91B28, 60H30 * 10 pages
A557: Mika Juntunen, Rolf Stenberg; Analysis of finite element methods for the Brinkman problem [pdf][ps]; Received 2009-04-14 * Brinkman equation, Stokes equation, Darcy equation, Nitsche's method, mixed finite element methods, stabilized methods * AMS 65N30 * 19 pages
A556: Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg; A posteriori error analysis for the Morley plate element with general boundary conditions [pdf][ps]; Received 2008-12-15 * nonconforming finite elements, a posteriori error analysis, Morley plate element, Kirchhoff plate model, boundary conditions * AMS 65N30, 74S05, 74K20 * 31 pages
A555: Juho Könnö, Rolf Stenberg; Finite element analysis of composite plates with an application to the paper cockling problem [pdf][ps]; Received 2008-12-12 * Composite plates, MITC, finite element analysis, cockling, paper manufacturing * AMS 65N30, 74S05, 74K20 * 18 pages
A554: Lasse Leskelä; Stochastic relations of random variables and processes [pdf][ps]; Received 2008-10-07 * stochastic order, stochastic relation, subrelation, coupling, probability kernel, random dynamical system, Markov process * AMS 60B99, 60E15, 60G99, 60J99 * 27 pages
A553: Rolf Stenberg; A nonstandard mixed finite element family [pdf][ps]; Received 2008-09-01 * mixed finite element methods, macroelement technique,postprocessing, a posteriori estimates * AMS 65N30 * 9 pages
A552: Janos Karatson, Sergey Korotov; A discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems [pdf][ps]; Received 2008-08-26 * elliptic system, maximum principles, finite element method, discrete maximum principle * AMS 65N30, 65N50 * 40 pages
A551: István Faragó, Janos Karatson, Sergey Korotov; Discrete maximum principles for the FEM solution of some nonlinear parabolic problems [pdf][ps]; Received 2008-08-26 * nonlinear parabolic problems, discrete maximum principle, finite element method * AMS 65M60, 65M50, 35B50 * 24 pages
A550: István Faragó, Róbert Horváth, Sergey Korotov; Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions [pdf][ps]; Received 2008-08-26 * nonstationary diffusion-reaction problem, maximum principle, mixed boundary conditions, linear finite elements, discrete maximum principle, simplicial partition, angle condition * AMS 65M60, 65M50, 35B50 * 21 pages
A549: Antti Hannukainen, Sergey Korotov, Tomás Vejchodský; On weakening conditions for discrete maximum principles for linear finite element schemes [pdf][ps]; Received 2008-08-26 * elliptic equations, maximum principles, finite element method, discrete maximum principle, monotone matrix, matrix irreducibility * AMS 65N30, 65N50 * 9 pages
A548: Kalle Mikkola; Weakly coprime factorization, continuous-time systems, and strong-Hp and Nevanlinna fractions [pdf][ps]; Received 2008-08-28 * Weak coprimeness, stabilizable realization, stabilizable and detectable realization, LQ-optimal state feedback, infinite-dimensional systems theory, well-posed linear systems, holomorphic fractions * AMS 49N10, 93D15, 93B52; 47A68, 47A56, 47B35 * 48 pages
A547: Wolfgang Desch, Stig-Olof Londen; A generalization of an inequality by N. V. Krylov [pdf][ps]; Received 2008-06-05 * Littlewood-Paley inequality, heat kernel, resolvent operators, stochastic integral equations * AMS 60H15, 45K05 * 34 pages
A546: Olavi Nevanlinna; Resolvent and polynomial numerical hull [pdf][ps]; Received 2008-05-13 * resolvent operator, spectrum, polynomial numerical hull, numerical range, quasialgebraic operator, Riesz projection * AMS 47A10, 47A12, 47A66 * 14 pages
A545: Ruth Kaila; The integrated volatility implied by option prices, a Bayesian approach [pdf][ps] * erratum (2008-05-20) [pdf][ps]; Received 2008-04-22 * implied integrated volatility, stochastic volatility, quadratic variation, Bayesian inference, MCMC sampling, hypermodel * AMS 91B * 102 pages
A544: Stig-Olof Londen, Hana Petzeltová; Convergence of solutions of a non-local phase-field system [pdf][ps]; Received 2008-03-10 * non-local phase-field systems, Simon-Lojasiewicz theorem, convergence to equilibria * AMS 35K45, 35K57, 35B40, 80A22 * 17 pages
A543: Outi Elina Maasalo; Self-improving phenomena in the calculus of variations on metric spaces [pdf][ps]; Received 2008-02-25 * BMO function, Caccioppoli inequality, capacity, doubling measure, Gehring lemma, geodesic space, global integrability, higher integrability, Hölder domain, metric space, Muckenhoupt weight, Newtonian space, p-fatness, Poincaré inequality, quasiminimizer, reverse Hölder inequality, superharmonic function, superminimizer, stability * AMS 31C05, 31C45, 42B25, 49N60, 49Q20 * 22 pages
A542: Vladimir M. Miklyukov, Antti Rasila, Matti Vuorinen; Stagnation zones for A-harmonic functions on canonical domains [pdf][ps]; Received 2008-02-14 / Revised 2008-02-20 * stagnation zone, A-harmonic function, Saint-Venant principle, Phragmén-Lindelöf principle * AMS 31C45, 35J65, 46E35 * 23 pages
A541: Teemu Lukkari; Nonlinear potential theory of elliptic equations with nonstandard growth [pdf][ps]; Received 2008-02-08 * Nonstandard growth, variable exponent, p(x)-Laplacian, logarithmic Hölder continuity, Caccioppoli estimate, Moser iteration, Harnack's inequality, regularity, comparison principle, superharmonic function, removability, growth of solutions, existence of generalized solutions, measure data * AMS 35J70, 35J60, 31C45, 35B45, 35B50, 35D05, 35D10, 46E35 * 21 pages
A540: Riikka Korte; Geometric properties of metric measure spaces and Sobolev-type inequalities [pdf][ps]; Received 2008-01-21 * boxing inequality, capacity, doubling measure, functions of bounded variation, Hausdorff content, Lebesgue points, metric spaces, modulus, Newtonian spaces, Poincaré inequality, quasiconvexity, Sobolev-Poincaré inequality, Sobolev spaces * AMS 46E35, 31C15 * 16 pages
A539: Aly A. El-Sabbagh, F.A. Abd El Salam, K. El Nagaar; On the spectrum of the symmetric relations for the canonical systems of differential equations in Hilbert space [pdf][ps] abstract: [pdf][ps]; Received 2007-12-18 * Hilbert Spaces, Symmetric Relations, minimal and maximal relations, Weyl-Coefficients, and Canonical Systems of Differential Equations * AMS 47A20 * 9 pages
A538: Aly A. El-Sabbagh, F.A. Abd El Salam, K. El Nagaar; On the existence of the selfadjoint extension of the symmetric relation in Hilbert space [pdf][ps] abstract: [pdf][ps]; Received 2007-12-18 * Symmetric Operator, Symmetric Relation, Hilbert Space, Perturbing Case, Selfadjoint Extensions, Krein Space * AMS 47A20 * 9 pages
A537: Teijo Arponen, Samuli Piipponen, Jukka Tuomela; Kinematic analysis of Bricard's mechanism [pdf][ps] abstract: [pdf][ps]; Received 2007-11-27 * Multibody systems. Configuration space. Ideal decomposition. Overconstrained linkages. Gröbner bases * AMS 70B15, 13P10, 70G25 * 22 pages
A536: Toni Lassila; Optimal damping set of a membrane and topology discovering shape optimization [pdf][ps] abstract: [pdf][ps]; Received 2007-11-18 * shape optimization, level set methods, wave equation, optimal damping * AMS 49Q10, 65K10 * 16 pages
A535: Esko Valkeila; On the approximation of geometric fractional Brownian motion [pdf][ps] abstract: [pdf][ps]; Received 2007-10-29 * Arbitrage, geometric fractional Brownian motion, approximation * AMS 60F17, 60H99, 91B28 * 17 pages
A534: Jarkko Niiranen; A priori and a posteriori error analysis of finite element methods for plate models [pdf][ps] abstract: [pdf][ps]; Received 2007-10-15 * finite elements, a priori error analysis, a posteriori error analysis, plate models, MITC-elements, adaptivity * AMS 65N30, 74S05, 74K20 * 28 pages
A533: Heikki J. Tikanmäki; Edgeworth expansion for the one dimensional distribution of a Lévy process [pdf][ps] abstract: [pdf][ps]; Received 2007-09-26 * Asymptotic expansions, Cram?r?s condition, cumulants, Edgeworth approximation, Lévy processes * AMS 60G51,60E07,60G50 * 17 pages
A532: Tuomo T. Kuusi; Harnack estimates for supersolutions to a nonlinear degenerate equation [pdf][ps]; Received 2007-09-19 * Parabolic nonlinear partial differential equations, Harnack estimates, weak solutions, parabolic Moser's method, De Giorgi's estimates, intrinsic time scale, regularity of solutions, Hölder continuity of solutions * AMS (missing) * 57 pages
A531: Mika Juntunen, Rolf Stenberg; An unconditionally stable mixed discontinuous Galerkin method [pdf][ps] abstract: [pdf][ps]; Received 2007-11-28 * Mixed method, discontinuous Galerkin method, stability, Nitsche's method * AMS 65N30, 65N55 * 20 pages
A530: Mika Juntunen, Rolf Stenberg; Nitsches method for general boundary conditions [pdf][ps] abstract: [pdf][ps]; Received 2007-10-17 * Robin boundary conditions, stabilization, Nitsches method * AMS 65N30 * 26 pages
A529: Mikko Parviainen; Global higher integrability for nonlinear parabolic partial differential equations in nonsmooth domains [pdf][ps]; Received 2007-09-18 * boundary value problem, Caccioppoli inequality, capacity density, Gehring lemma, Giaquinta-Modica lemma, initial value problem, integrability of the gradient, nonlinear parabolic system, parabolic p-Laplace equation, reverse Hölder inequality * AMS 35K60, 35K55, 35K15, 49N60 * 48 pages
A528: Kalle Mikkola; Hankel and Toeplitz operators on nonseparable Hilbert spaces: further results [pdf][ps] abstract: [pdf][ps]; Received 2007-08-20 * strong Hardy spaces of operator-valued functions, strongly essentially bounded functions, shift-invariant subspaces, translation-invariant operators, inner functions, left invertibility. * AMS 47B35, 46C99, 46E40 * 50 pages
A527: Janos Karatson, Sergey Korotov; Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems [pdf][ps] abstract: [pdf][ps]; Received 2007-08-08 * a posteriori error estimation, error control in energy norm, error estimates of functional type, elliptic equation of second order, elliptic equation of fourth order, second order elasticity system, mixed boundary conditions * AMS 65J05, 65J15, 65M60, 65N15, 65N30, 65N50 * 47 pages
A526: Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg; A family of C^0 finite elements for Kirchhoff plates II: Numerical results [pdf][ps] abstract: [pdf][ps]; Received 2007-05-25 * finite elements, Kirchhoff plate model, free boundary, a-priori error tests, a-posteriori error tests, adaptivity * AMS 65N30, 74S05, 74K20 * 29 pages
A525: Jan Brandts, Sergey Korotov, Michal Krizek; The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem [pdf][ps] abstract: [pdf][ps]; Received 2007-07-13 / Revised 2007-07-18 * reaction-diffusion problem, maximum principle, finite element method, discrete maximum principle, simplicial partition, angle condition * AMS 65N30, 65N50 * 16 pages
A524: Dmitri Kuzmin, Antti Hannukainen, Sergey Korotov; A new a posteriori error estimate for convection-reaction-diffusion problems [pdf][ps] abstract: [pdf][ps]; Received 2007-05-23 * convection-reaction-diffusion, a posteriori error estimation, adaptivity * AMS 65N15, 65N50, 76M30 * 12 pages
A523: Olavi Nevanlinna; Circlets and diagonalization of real linear operators [pdf][ps]; Received 2007-04-13 * real linear operators, circlets, noncommutative scalars * AMS 15A33, 47S10 * 48 pages
A522: Antti Hannukainen, Sergey Korotov, Marcus Ruter; A posteriori error estimates for some problems in linear elasticity [pdf][ps] abstract: [pdf][ps]; Received 2007-03-27 * a posteriori error estimation, local errors, superconvergence, finite element method, linear elasticity, fracture mechanics * AMS 65N15, 65N30, 65N50 * 14 pages
A521: Sergey Korotov, Ales Kropac, Michal Krizek; Strong regularity of a family of face-to-face partitions generated by the longest-edge bisection algorithm [pdf][ps] abstract: [pdf][ps]; Received 2007-04-24 * Zlamal's minimum angle condition, simplicial elements, conforming finite element method, nested partitions * AMS 65M50, 65N30 * 18 pages
A519: Teemu Lukkari; Elliptic equations with nonstandard growth involving measure data [pdf][ps] abstract: [pdf][ps]; Received 2007-02-09 * Nonstandard growth, measure data, superharmonic functions * AMS 35J70, 35D05, 31C45 * 18 pages
A518: Niko Marola; Regularity and convergence results in the calculus of variations on metric spaces [pdf][ps] abstract: [pdf][ps]; Received 2007-02-06 * Caccioppoli inequality, doubling measure, Harnack covergence theorem, Harnack inequality, metric space, minimizer, Moser iteration, Newtonian space, nonlinear eigenvalue problem, p-Dirichlet integral, p-Laplace equation, Poincare inequality, quasiminimizer, quasisubminimizer, quasisuperminimizer, Rayleigh quotient, Sobolev space, subminimizer, superminimizer * AMS 35J20, 35J60, 35P30, 49J27, 49J52, 49N60 * 13 pages
A517: Jan Brandts, Sergey Korotov, Michal Krizek; Simplicial finite elements in higher dimensions [pdf][ps] abstract: [pdf][ps]; Received 2007-02-07 * n-simplex, finite element method, superconvergence, strengthened Cauchy-Schwarz inequality, discrete maximum principle * AMS 65N30, 51M20 * 16 pages
A516: Sergey Repin, Rolf Stenberg; Two-sided a posteriori estimates for the generalized stokes problem [pdf][ps] abstract: [pdf][ps]; Received 2006-12-19 * generalized stoke's problem, a posteriori error estimates of the functional type, incompressible viscous fluids * AMS 65N30 * 32 pages
A515: Sergey Korotov; Global a posteriori error estimates for convection-reaction-diffusion problems [pdf][ps] abstract: [pdf][ps]; Received 2006-12-08 * convection-reaction-diffusion equation, a posteriori error estimation, Friedrichs-Poincare inequality * AMS 65N15, 65N50, 76M30 * 13 pages
A514: Yulia Mishura, Esko Valkeila; An extension of the Lévy characterization to fractional Brownian motion [pdf][ps] abstract: [pdf][ps]; Received 2006-12-05 * fractional Brownian motion, Lévy theorem * AMS 60G15, 60E05, 60H99 * 24 pages
A513: Wolfgang Desch, Stig-Olof Londen; On a stochastic parabolic integral equation [pdf][ps] abstract: [pdf][ps]; Received 2006-10-26 * Stochastic integral equations, Krylovs method * AMS 60H20 45R05 * 12 pages
A512: Joachim Schöberl, Rolf Stenberg; Multigrid methods for a stabilized Reissner-Mindlin plate formulation [pdf][ps] abstract: [pdf][ps]; Received 2006-10-16 * Reissner-Mindlin plate, stabilized finite element method, multigrid method * AMS 65N30, 65N55, 74S05 * 19 pages
A511: Carlo Lovadina, Mikko Lyly, Rolf Stenberg; A posteriori estimates for the Stokes eigenvalue problem [pdf][ps]; Received 2007-02-08 * Stokes eigenvalue problem, a-posteriori error estimate, adaptive computations * AMS 65N30, 34L15 * 17 pages
A510: Janos Karatson, Sergey Korotov; Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems [pdf][ps] abstract: [pdf][ps]; Received 2006-12-07 * nonlinear elliptic problem, interface problem, maximum principle, discrete maximum principle, finite element method, simplicial mesh * AMS 35B50, 35J65, 65N30, 65N50 * 23 pages
A509: Jukka Tuomela, Teijo Arponen, Villesamuli Normi; On the simulation of multibody systems with holonomic constraints [pdf][ps] abstract: [pdf][ps]; Received 2006-09-07 * differential algebraic equations, multibody systems, Runge-Kutta methods, lagrangian mechanics * AMS primary 65L80, 70E55 secondary 34A26, 65L05 * 39 pages
A508: Teijo Arponen, Samuli Piipponen, Jukka Tuomela; Analysing singularities of a benchmark problem [pdf][ps] abstract: [pdf][ps]; Received 2006-09-04 * Multibody systems, Andrews squeezing mechanism, Ideal decomposition, Constraint singularities, Gröbner bases, Descriptor form, Angular coordinates * AMS 70B15, 13P10, 70G25 * 34 pages
A507: Pekka Alestalo, Dmitry A. Trotsenko; Bilipschitz extendability in the plane [pdf][ps]; Received 2006-08-07 * bilipschitz, extension * AMS 30C65 * 13 pages
A506: Sergey Korotov; Error control in terms of linear functionals based on gradient averaging techniques [pdf][ps] abstract: [pdf][ps]; Received 2006-07-26 * a posteriori error estimation, quantity of interest, finite element method, differential equation of elliptic type, linear elasticity, superconvergence * AMS 65N15, 65N30, 65N50 * 13 pages
A505: Jan Brandts, Sergey Korotov, Michal Krizek; On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions [pdf][ps] abstract: [pdf][ps]; Received 2006-07-26 * finite element method, inscribed ball, circumscribed ball, regular family of simplicial partitions, Zl'amal's condition * AMS 65N12, 65N30 * 11 pages
A504: Janos Karatson, Sergey Korotov, Michal Krizek; On discrete maximum principles for nonlinear elliptic problems [pdf][ps] abstract: [pdf][ps]; Received 2006-07-26 * nonlinear elliptic problem, mixed boundary conditions, discrete maximum principle, finite element method, quadratures * AMS 65N30, 65N50, 35B50, 35J65 * 17 pages
A503: Jan Brandts, Sergey Korotov, Michal Krizek, Jakub Solc; On acute and nonobtuse simplicial partitions [pdf][ps] abstract: [pdf][ps]; Received 2006-07-25 * ortho-simplices, path-simplices, Delaunay triangulation, Kuhn partition, polytope * AMS 51M20, 65N30 * 17 pages
A502: Vladimir M. Miklyukov, Antti Rasila, Matti Vuorinen; Three spheres theorem for p-harmonic functions [pdf][ps] abstract: [pdf][ps]; Received 2006-06-20 * three circles theorem, p-harmonic functions, p-Laplacian * AMS 35J60,35B05,35B50 * 17 pages
A501: Marina Sirviö; On an inverse subordinator storage [pdf][ps] abstract: [pdf][ps]; Received 2006-06-27 * subordinator, stationary, storage process * AMS 60G10, 90B05, 60G51 * 14 pages
A500: Outi Elina Maasalo, Anna Zatorska-Goldstein; Stability of quasiminimizers of the p-Dirichlet integral with varying p on metric spaces [pdf][ps] abstract: [pdf][ps]; Received 2006-04-24 * Caccioppoli inequality, capacity, doubling measure, Gehring lemma, metric space, Newtonian space, p-fatness, Poincaré inequality, quasiminimizer, stability * AMS Primary: 49Q20, Secondary: 31C45, 49N60 * 23 pages
A499: Mikko Parviainen; Global higher integrability for parabolic quasiminimizers in nonsmooth domains [pdf][ps] abstract: [pdf][ps]; Received 2005-04-11 * nonlinear parabolic system, heat equation, capacity density, initial value problem, reverse Hoelder inequality * AMS Primary: 35K60; Secondary: 35K15, 35K55, 49N60 * 25 pages
A498: Marcus Ruter, Sergey Korotov, Christian Steenbock; Goal-oriented error estimates based on different FE-spaces for the primal and the dual problem with applications to fracture mechanics [pdf][ps] abstract: [pdf][ps]; Received 2006-03-16 * A posteriori error estimation, finite elements, fracture mechanics * AMS 65N15, 65N30, 65N50, 74R10 * 24 pages
A497: Outi Elina Maasalo; Gehring lemma in metric spaces [pdf][ps] abstract: [pdf][ps]; Received 2006-03-13 * doubling measure, quasisymmetric mapping, metric space, Muckenhoupt weight, reverse Hölder inequality * AMS 42B25 * 26 pages
A496: Jan Brandts, Sergey Korotov, Michal Krizek; Dissection of the path-simplex in R^n into n path-subsimplices [pdf][ps] abstract: [pdf][ps]; Received 2006-03-03 * n-simplex, path-simplex, Coxeter's trisection, self-similarity * AMS 51M20, 65N30 * 15 pages
A495: Sergey Korotov; A posteriori error estimation for linear elliptic problems with mixed boundary conditions [pdf][ps] abstract: [pdf][ps]; Received 2006-03-03 * reliable computations, a posteriori error estimation, error control in energy norm, differential equation of elliptic type, mixed boundary conditions * AMS 65N15, 65N30 * 14 pages
A494: Antti Hannukainen, Sergey Korotov; Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems [pdf][ps] abstract: [pdf][ps]; Received 2006-02-16 * a posteriori error estimation, error control in energy norm, error control in terms of linear functionals, differential equation of elliptic type, mixed boundary conditions, gradient averaging * AMS 65N15, 65N30 * 23 pages
A493: Giovanni Formica, Stefania Fortino, Mikko Lyly; A theta method-based numerical simulation of crack growth in linear elastic fracture [pdf][ps] abstract: [pdf][ps]; Received 2006-02-01 * Linear Elastic Fracture Mechanics (LEFM), theta method, Stable crack propagation, Finite Element Method (FEM) * AMS 47A10, 65F10 * 16 pages
A492: Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg; A posteriori error estimates for the plate bending Morley element [pdf][ps] abstract: [pdf][ps]; Received 2006-02-01 * nonconforming finite elements, a posteriori error analysis, Morley plate element, Kirchhoff plate model, biharmonic problem * AMS 65N30, 74S05, 74K20 * 15 pages * Errata appended to the document on Oct 12, 2006.
A491: Lasse Leskelä; Comparison and scaling methods for performance analysis of stochastic networks e-dissertation; Received 2005-12-02 * stochastic network, queueing, admission control, overflow routing, stochastic comparison, scaling, renormalization, spatial random field * AMS 60K25, 68M20, 90B15, 90B22, 60E50, 60F17, 60C60, 60C18 * 20 pages
A490: Anders Björn, Niko Marola; Moser iteration for (quasi)minimizers on metric spaces [pdf][ps] abstract: [pdf][ps]; Received 2005-09-22 * Caccioppoli inequality, doubling measure, Harnack inequality, metric space, minimizer, Newtonian space, p-harmonic, Poincar'e inequality, quasiminimizer, quasisubminimizer, quasisuperminimizer, Sobolev space, subminimizer, superminimizer. * AMS 49N60; Secondary: 35J60, 49J27. * 29 pages
A489: Sampsa Pursiainen; A coarse-to-fine strategy for maximum a posteriori estimation in limited-angle computerized tomography [pdf][ps] abstract: [pdf][ps]; Received 2005-09-14 * computerized-tomography, limited-angle tomography, Bayesian statistics, Gaussian densities, diagonalization, wavelet representation, preconditioning, Conjugate Gradient method * AMS 65N21, 65C50, 65F22, 65F10, 65T60 * 22 pages
A487: Ville Turunen; Differentiability in locally compact metric spaces [pdf][ps] abstract: [pdf][ps]; Received 2005-05-03 * Metric space, dot product, comparison angles, Cauchy--Schwarz, curvature, Lipschitz functions, tangents, differentiability * AMS 51K05, 53C45, 53C70, 54E40 * 28 pages
A486: Hanna Pikkarainen; A mathematical model for electrical impedance process tomography [pdf][ps] abstract: [pdf][ps]; Received 2005-04-19 * statistical inversion theory, nonstationary inverse problem, state estimation, Bayesian filtering, process tomography, electrical impedance tomography, complete electrode model * AMS 62M20 (Primary); 93E10, 60H15, 35J25 (Secondary) * 172 pages
A485: Sampsa Pursiainen; Bayesian approach to detection of anomalies in electrical impedance tomography [pdf][ps] abstract: [pdf][ps]; Received 2005-04-06 * electrical impedance tomography, Bayesian statistics, Markov chain Monte Carlo, linear algebra, anomalous conductivities * AMS 65N21, 65C05, 65F05 * 320 pages
A484: Visa Latvala, Niko Marola, Mikko Pere; Harnack's inequality for a nonlinear eigenvalue problem on metric spaces [pdf][ps] abstract: [pdf][ps]; Received 2005-03-10 * Sobolev space, Newtonian space, Caccioppoli estimate, Harnack's inequality, First eigenvalue, First eigenfunction, Rayleigh quotient, p-Dirichlet integral, Moser iteration * AMS 35P30, 35J20 * 20 pages
A483: Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg; A family of C^0 finite elements for Kirchhoff plates [pdf][ps] abstract: [pdf][ps]; Received 2006-01-10 * finite elements, Kirchhoff plate model, free boundary, a-priori error analysis, a-posteriori error analysis * AMS 65N30, 74S05, 74K20 * 30 pages
A482: Mikko Lyly, Jarkko Niiranen, Rolf Stenberg; A refined error analysis of MITC plate elements [pdf][ps] abstract: [pdf][ps]; Received 2005-04-13 / Revised 2005-04-18 * Reissner--Mindlin plates, MITC finite element methods, error analysis * AMS 65N30, 74S05, 74K20 * 12 pages
A481: Dario Gasbarra, Tommi Sottinen, Esko Valkeila; Gaussian bridges [pdf][ps] abstract: [pdf][ps]; Received 2004-12-31 * Gaussian processes, Brownian bridge, pinned Gaussian processes, tied down Gaussian process, enlargement of filtration, fractional Brownian motion, fractional Brownian bridge * AMS 60G15, 60G18, 60G25, 60G44 * 24 pages
A480: Ville Havu, Jarmo Malinen; Approximation of the Laplace transform by the Cayley transform [pdf][ps] abstract: [pdf][ps]; Received 2004-12-14 * Conservative system, Crank--Nicholson scheme * AMS 47A48, 65J10, 93C25, (34G10, 47N70, 65L70) * 22 pages
A479: Jarmo Malinen; Conservativity of time-flow invertible and boundary control systems [pdf][ps] abstract: [pdf][ps]; Received 2004-12-14 * Conservative system, boundary control, time-flow invertibility, operator node, Cayley transform * AMS 47A48, 47N70, 93B28, 93C25 * 37 pages
A478: Niko Marola; Moser's method for minimizers on metric measure spaces [pdf][ps] abstract: [pdf][ps]; Received 2004-10-29 * Sobolev space, Newtonian space, Caccioppoli estimates, Harnack's inequality * AMS 49N60, 35J20 * 23 pages
A477: Tuomo T. Kuusi; Moser's method for a nonlinear parabolic equation [pdf][ps] abstract: [pdf][ps]; Received 2004-10-26 * Doubly nonlinear parabolic, Caccioppoli estimates, Harnack's inequality, parabolic BMO * AMS 35B55 * 19 pages
A476: Dario Gasbarra, Esko Valkeila, Lioudmila Vostrikova; Enlargement of filtration and additional information in pricing models: a Bayesian approach [pdf][ps] abstract: [pdf][ps]; Received 2004-10-22 * dynamical Bayesian modelling, enlargement of filtration, asymmetric information, Levy processes * AMS 60G44, 91B28, 62B10 * 30 pages
A475: Iivo Vehviläinen; Applyining mathematical finance tools to the competitive Nordic electricity market [pdf][ps] abstract: [pdf][ps]; Received 2004-10-22 * mathematical finance, electricity markets, risk management, derivative pricing, stochastic modelling * AMS 91B28, 60G35 * 34 pages
A474: Mikko Lyly, Jarkko Niiranen, Rolf Stenberg; Superconvergence and postprocessing of MITC plate elements [pdf][ps] abstract: [pdf]; Received 2005-01-20 / Revised 2005-02-12 * Reissner--Mindlin plates, MITC finite element methods, superconvergence, postprocessing * AMS 65N30, 74S05, 74K20 * 29 pages
A473: Carlo Lovadina, Rolf Stenberg; Energy norm a posteriori error estimates for mixed finite element methods [pdf][ps] abstract: [pdf][ps]; Received 2004-10-21 * mixed finite element methods, a-posteriori error estimates,post-processing * AMS 65N30 * 13 pages
A472: Carlo Lovadina, Rolf Stenberg; A posteriori error analysis of the linked interpolation technique for plate bending problems [pdf][ps] abstract: [pdf][ps]; Received 2004-09-17 * Reissner-Mindlin plates, finite element methods, a posteriori error analysis. * AMS Primary 65N30; Secondary 74S05 * 20 pages
A471: Nuutti Hyvönen; Diffusive tomography methods: Special boundary conditions and characterization of inclusions [pdf][ps] abstract: [pdf][ps]; Received 2004-04-01 * inverse boundary value problems, variational principles, optical tomography, non-scattering regions, radiative transfer equation, diffusion approximation, electrical impedance tomography, inverse conductivity problem, electrode models, inclusions, factorization method * AMS 35R30, 35Q60, 35J25, 31A25, 31B20, 35R05, 78A70 * 25 pages
A470: Lasse Leskelä; Stabilization of an overloaded queueing network using measurement-based admission control [pdf][ps] abstract: [pdf][ps]; Received 2004-03-31 * queueing network; admission control; stability; overload; perturbed Markov process * AMS 60K25, 68M20, 90B15, 90B22 * 17 pages
A469: Jarmo Malinen; A remark on the Hille--Yoshida generator theorem [pdf][ps] abstract: [pdf][ps]; Received 2004-05-18 * Semigroup generator, Hille--Yoshida theorem, Gibsons theorem * AMS 47D03, 47A10, 47A30 * 6 pages
A468: Jarmo Malinen, Olavi Nevanlinna, Zhijian Yuan; On a tauberian condition for bounded linear operators [pdf][ps] abstract: [pdf][ps]; Received 2004-05-18 * Power bounded, Ritt resolvent condition, tauberian theorem * AMS 47A10, 40E05, 47A30, 47D03 * 10 pages
A467: Jarmo Malinen, Olavi Nevanlinna, Ville Turunen, Zhijian Yuan; A lower bound for the differences of powers of linear operators [pdf][ps] abstract: [pdf][ps]; Received 2004-03-18 / Revised 2004-05-18 * Berkani's conjecture, quasi-nilpotent linear operator, differences of powers, decay * AMS 47A30, 47D03, 47A10, 30C45 * 10 pages
A466: Timo Salin; Quenching and blowup for reaction diffusion equations [pdf][ps] abstract: [pdf][ps]; Received 2004-03-12 * Reaction-diffusion equation, quenching, quenching set, quenching rate, asymptotic behavior of solutions, refined asymptotics, blow-up, blow-up set, blow-up rate * AMS 35K20, 25K55, 25K57, 35K80, 35B40 * 28 pages
A465: Ville Turunen; Function Hopf algebra and pseudodifferential operators on compact Lie groups [pdf][ps] abstract: [pdf][ps]; Received 2004-06-01 * Hopf algebras, pseudodifferential operators, compact Lie groups, function algebra, convolution * AMS 16W30, 47L80, 47G30, 22E30, 46E25, 43A77, 58J40, 35S05 * 14 pages
A464: Ville Turunen; Sampling at equiangular grids on the 2-sphere and estimates for Sobolev space interpolation [pdf][ps] abstract: [pdf][ps]; Received 2003-11-28 * spherical harmonics, sampling, equiangular grid, interpolation, Sobolev space estimates * AMS 65T40, 33C55, 46E35, 42C10, 65T50 * 19 pages
A463: Marko Huhtanen, Jan von Pfaler; The real linear eigenvalue problem in C^n [pdf][ps] abstract: [pdf][ps]; Received 2003-11-28 * R-linear operator in C^n, spectrum, characteristic bivariate polynomial, real algebraic plane curve, path following techniques * AMS 14Q05, 15A04, 65F15 * 32 pages
A462: Ville Turunen; Pseudodifferential calculus on the 2-sphere [pdf][ps] abstract: [pdf][ps]; Received 2003-10-27 * Pseudodifferential operators, symbol calculus, asymptotic expansions, spherical harmonics, rotation group * AMS 58J40, 33C55, 22E30, 47G30, 35S05 * 9 pages
A461: Tuomas Hytönen; Vector-valued wavelets and the Hardy space H^1(R^n;X) [pdf][ps] abstract: [pdf][ps]; Received 2003-04-23 * Wavelet basis, atomic decomposition, generalized Calder on{Zygmund op- erators, UMD-space * AMS 42B30, 42C40, 46E40 * 23 pages
A460: Timo Eirola, Jan von Pfaler; Numerical Taylor expansions for invariant manifolds [pdf][ps] abstract: [pdf][ps]; Received 2003-04-24 / Revised 2003-07-14 * Numerical approximation of invariant manifolds, multivariate polynomial, bifurcation, Taylor expansion * AMS 65Q05, 65P, 37M, (secondary) 65P30, 65F20, 15A69 * 22 pages
A459: Timo Salin; The quenching problem for the N-dimensional ball [pdf][ps] abstract: [pdf][ps]; Received 2003-04-23 * Reaction-diffusion equation, quenching, quenching rate, refined asymptotics * AMS 35K20, 35K55, 35K57 * 22 pages
A458: Tuomas Hytönen; Translation-invariant Operators on Spaces of Vector-valued Functions [pdf][ps] abstract: [pdf][ps]; Received 2003-04-06 * Operator-valued Fourier multipliers; singular convolution integrals; Hardy, Lebesgue-Bochner and Besov spaces of vector-valued functions; Mihlin's theorem; Hörmander's intergral equation R-boundedness; UMD spaces; Fourier embeddings; evolution equations; maximal regularity * AMS 42B15, 42B20, 46E40 (Primary) 34G10, 42B30, 42B35, 46B09 (Secondary) * 194 pages
A457: Timo Salin; On a Refined Asymptotic Analysis for the Quenching Problem [pdf][ps] abstract: [pdf][ps]; Received 2003-03-20 * Reaction-diffusion euqation, quenching, assumptotic behavior of solutions, blow-up * AMS 35K55, 35K57, 35B40 * 20 pages
A456: Ville Havu, Harri Hakula, Tomi Tuominen; A benchmark study of elliptic and hyperbolic shells of revolution [pdf][ps] abstract: [pdf][ps]; Received 2003-01-16 * shells, finite elements, benchmark * AMS 74S05, 74K25 * 15 pages
A455: Yaroslav V. Kurylev, Matti Lassas, Erkki Somersalo; Maxwell's Equations with Scalar Impedance: Direct and Inverse Problems [pdf][ps] abstract: [pdf][ps]; Received 2003-01-07 * Maxwell's equations, differential forms, boundary control, inverse problem, Riemannian manifolds * AMS 35A21, 35J55, 35L50, 35Q60, 35R30, 53C21, 58A10, 58J32, 58J90, 78A25 * 55 pages
A454: Timo Eirola, Marko Huhtanen, Jan von Pfaler; Solution methods for R-linear problems in C^n [pdf][ps][pdf.gz][ps.gz] abstract: [pdf][ps]; Received 2002-10-09 / Revised 2002-10-29 * real linear operator in C^n, characteristic bivariate polynomial, isometry, LU--decomposition, QR--factorization, iterative methods, consimilarity * AMS 15A04, 65F10 * 32 pages
A453: Marko Huhtanen; Aspects of nonnormality for iterative methods [pdf][ps] abstract: [pdf][ps]; Received 2002-09-26 * nonnormal matrix, binormal matrix, polynomially normal operator, unitary orbit, involution, iterative methods, Ritz values, measure of nonnormality * AMS 65F10, 65F15 * 25 pages
A452: Kalle Mikkola; Infinite-Dimensional Linear Systems, Optimal Control and Algebraic Riccati Equations volumes 1-3 [pdf][ps][pdf.gz][ps.gz] abstract: [pdf][ps]; Received 2002-10-03 * suboptimal H-infinity control, standard H-infinity problem, measurement feedback problem; H-infinity full information control problem, state feedback problem; Nehari problem; LQC, LQR control, H2 problem, minimization; bounded real lemma, positive real lemma; dynamic stabilization, controller with internal loop, strong stabilization, exponential stabilization, optimizability; canonical factorization, (J,S)-spectral factorization, (J,S)-inner coprime factorization, generalized factorization, J-lossless factorization; compatible operators, weakly regular well-posed linear systems, distributed parameter systems; continuous-time, discrete-time; infinite-horizon; time-invariant operators, Toeplitz operators, Wiener class, equally-spaced delays, Popov function; transfer functions, H-infinity boundary functions, Fourier multipliers; Bochner integral, strongly measurable functions, strong Lp spaces; Laplace transform, Fourier transform * AMS 42A45, 46E40, 46G12, 47A68, 49J27, 49N10, 49N35, 93-02, 93A10, 93B36, 93B52, 93C05, 93C55, 93D15 * 1059 pages
A451: Marko Huhtanen; Combining normality with the FFT techniques [pdf][ps] abstract: [pdf][ps]; Received 2002-09-24 * normal matrix, FFT, Toeplitz matrix, persymmetric matrix, normal embedding, Kronecker product, preconditioning, 5-term recurrence * AMS 15A57, 65F10, 65T50 * 26 pages
A450: Nikolai Yu. Bakaev; Resolvent estimates of elliptic differential and finite element operators in pairs of function spaces [pdf][ps]; Received 2002-08-18 / Revised 2002-10-18 * Elliptic partial differential operators, elliptic finiteelement operators, resolvent estimates, pairs of function spaces * AMS 47D05, 65N30
A449: Juhani Pitkäranta; Mathematical and historical reflections on the lowest order finite element models for thin structures [pdf][ps] abstract: [pdf][ps]; Received 2002-05-22 * finite elements, thin bodies, history * AMS 73V05, 65N30
A448: Teijo Arponen; Numerical solution and structural analysis of differential-algebraic equations [pdf][ps]; Received 2002-05-30 * symbolic computation, Runge-Kutta methods, index reduction, overdetermined differential equations * AMS 34A26, 65L05, 70B15, 70E99, 34A09, 58A20
A447: Timo Salin; Quenching-rate estimate for a reaction diffusion equation with weakly singular reaction term [pdf][ps]; Received 2002-04-30 * Reaction-diffusion equation, quenching, quenching set, quenching rate, blow-up * AMS 35K55, 35K60, 35B40
A446: Tuomas Hytönen; R-Boundedness is Necessary for Multipliers on H1 [pdf][ps]; Received 2002-02-28 * Operator-valued Fourier-multiplier, Hardy space, maximal regularity * AMS 47B38 (Primary) 42B15 (Secondary)
A445: Philippe Clément, Stig-Olof Londen, Gieri Simonett; Quasilinear Evolutionary Equations and Continuous Interpolation Spaces [pdf] abstract: [pdf][ps]; Received 2002-03-30
A444: Tuomas Hytönen; Convolutions, Multipliers and Maximal Regularity on Vector-Valued Hardy Spaces [pdf][ps]; Received 2001-12-30 * Operator-valued Fourier-multiplier, Hardy space, maximal regularity * AMS 47B38 (Primary) 42B15 (Secondary)
A443: Tuomas Hytönen; Existence and Regularity of Solutions of the Korteweg - de Vries Equations and Generalizations [pdf][ps]; Received 2001-12-30 * Korteweg--de Vries equation, quasi-linear evolution equations, one-parameter semigroups of linear operators * AMS 35Q53 (Primary) 34G20 (Secondary)
A442: Ville Havu; Analysis of Reduced Finite Element Schemes in Parameter Dependent Elliptic Problems [pdf][ps]; Received 2001-12-30 * finite elements, locking * AMS 65N30, 35J25
A441: Jukka Liukkonen; Data Reduction and Domain Truncation in Electromagnetic Obstacle Scattering [pdf][ps]; Received 2001-10-30
A440: Ville Turunen; Pseudodifferential calculus on compact Lie groups and homogeneous spaces [pdf][ps]; Received 2001-09-30 * periodic pseudo-differential operators, Lie groups, homogeneous spaces, non-commutative Fourier analysis, Schwartz kernels, operator-valued symbols, asymptotic expansions, analysis on sphere * AMS 35S05, 22E30, 43A77, 43A85, 46A32, 46E40, 47G30, 58J40, 47B47
A439: Jyrki Piila, Juhani Pitkäranta; On corner irregularities that arise in hyperbolic shell membrane theory [pdf][ps]; Received 2001-07-30 * shells, membrane theory, corner irregularities * AMS 35L50, 35B65, 73K15
A438: Teijo Arponen; The complete form of a differential algebraic equation [pdf][ps]; Received 2001-07-30 * higher index, overdetermined differential equations, index reduction, ideal decomposition, jet space * AMS 34A09, 58A20
A437: Viking Högnäs; Nonnegative operators and the method of sums [pdf][ps]; Received 2001-06-30 * the method of sums, maximal regularity, nonnegative operators, fractional powers of positive operators, fractional derivatives, fractional evolution equations, Hölder continuous functions
A436: Ville Turunen; Pseudodifferential calculus on compact homogeneous spaces [pdf][ps]; Received 2001-06-30 * pseudodifferential operators, homogeneous spaces, Lie groups, analysis on sphere * AMS 35S05, 43A85, 22E30, 47G30
A435: Timo Salin; On Quenching with Logarithmic Singularity [pdf][ps]; Received 2001-05-30 * Reaction-diffusion equation, quenching, quenching set, quenching rate, blow-up * AMS 35K55, 35K60, 35B40
A434: Ville Havu; An Analysis of Asymptotic Consistency Error in a Parameter Dependent Model Problem [pdf][ps]; Received 2001-03-30 * finite elements, locking, heat conduction * AMS 65N30, 73K15
A433: Ville Havu, Juhani Pitkäranta; Analysis of a bilinear finite element for shallow shells I: Consistency error [pdf][ps]; Received 2001-01-30 * finite elements, locking, shells * AMS 65N30, 73K15
A432: Tuomas Hytönen; Optimal Wrap-Around Network Simulation [pdf][ps]; Received 2000-12-30 * Simulation, cellular network, wrap-around, grid size, tiling * AMS 90B18 (Primary) 52C20, 51M20, 68U20 (Secondary)
A431: Ville Turunen; Pseudodifferential calculus on compact Lie groups [pdf][ps]; Received 2001-06-30 * pseudodifferential operators, Lie groups, non-commutative Fouriertransform, operator-valued functions, symbol calculus, Schwartz kernels, asymptotic expansions, parametrices, commutators * AMS 35S05, 22E30, 43A77, 46A32, 46E40, 58J40, 47B47, 47G30
A430: Ville Havu, Juhani Pitkäranta; Analysis of a bilinear finite element for shallow shells I: Approximation of Inextensional Deformations [pdf][ps]; Received 2000-05-30
A428: Jarmo Malinen; Discrete Time H-Infinity Algebraic Riccati Equations; Received 2000-03-30
A427: Marko Huhtanen; A Hermitian Lanczos method for normal matrices [pdf][ps]; Received 2000-01-30 * normal matrix, GMRES, Toeplitz decomposition, Hermitian Lanczos * AMS 65F10
A426: Timo Eirola; A Refined Polar Decomposition: A=UPD [pdf][ps]; Received 2000-01-30 * Polar decomposition, orbits of matrices * AMS 15A23, 65F35
A425: Hermann Brunne, Arvet Pedas, Gennadi Vainikko; Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels [pdf][ps]; Received 1999-12-30
A424: Olavi Nevanlinna; Resolvent conditions and powers of operators [pdf][pdf.gz]; Received 1999-12-30
A423: Jukka Liukkonen; Generalized Electromagnetic Scattering in a Complex Geometry [pdf][ps]; Received 1999-11-30 * electromagnetics, perfectly matched layer, scattering * AMS 35Q60, 53B30, 58G20, 78A25
A422: Marko Huhtanen; A matrix nearness problem related to iterative methods [pdf][ps]; Received 1999-10-30 * Nearness problem, iterative methods, short term recurrence * AMS 65F10, 15A23
A421: Philippe Clément, Gustaf Gripenberg, Viking Högnäs, Stig-Olof Londen; Some remarks on the method of sums [pdf][ps]; Received 1999-10-30 * Method of sums, maximal regularity, interpolation spaces * AMS 47A99, 47A10, 46B70
A420: Ville Havu, Juhani Pitkäranta; An Analysis of Finite Element Locking in a Parameter Dependent Model Problem [pdf][ps]; Received 1999-08-30 * finite elements, locking, heat equation * AMS 65N30, 35J25
A419: Philippe Clément, Gustaf Gripenberg, Stig-Olof Londen; Smoothness in fractional evolution equations and conservation laws [pdf][ps]; Received 1999-08-30 * fractional derivative, evolution equation, Hölder continuity, conservation law * AMS 35K99, 35L99, 45K05
A418: Marko Huhtanen; Pole assignment problems for error bounds for GMRES [pdf][ps]; Received 1999-08-30 * GMRES, error bounds, pole assignment problem, nonnormality * AMS 65F10
A417: Kirsi Peltonen; Examples of uniformly quasiregular mappings [pdf][ps]; Received 1999-07-30 * uniformly quasiregular mappings, quasiregular dynamics, branched covering * AMS 30C65, 58F (primary), 53C (secondary)
A416: Saara Hyvönen; On the Iterative Solution of Nonnormal Problems [pdf][ps]; Received 1999-07-30 * Krylov methods, meromorphic functions, resolvent operator, Picard-Lindelöf iteration * AMS 47A10, 65F10
A415: Ville Turunen; A smooth operator valued symbol analysis [pdf][ps]; Received 1999-08-30 * Pseudodifferential operators, Fourier series, symbol analysis, operator-valued, non-commutative, Fourier transform, quasidifference operators, asymptotic expansions, Schwartz kernels, commutators * AMS 35S05, 43A30 (primary), 22E30, 42A20, 43A75, 43A77, 46E40, 46F05, 47A05, 47A56, 47G30, 58G15(secondary)
A414: Marko Huhtanen; A stratification of the set of normal matrices [pdf][ps]; Received 1999-05-30 * normal matrix, stratified submanifold, Toeplitz decomposition, Arnoldi iteration, eigenvalue problem * AMS 65F, 15A57
A413: Philippe Clément, Gustaf Gripenberg, Stig-Olof Londen; Regularity properties of solutions of functional evolution equations [pdf][pdf.gz]; Received 1999-05-30
A412: Marko Huhtanen; Ideal GMRES can be bounded from below by three factors [pdf][ps]; Received 1999-01-30 * iterative methods, Krylov subspace, ideal GMRES, nonnormality, pole placement, condition number, ill-conditioned eigenvalue, optimal diagonalization * AMS 65F10, 65F15, 15A18, 15A45
A411: Juhani Pitkäranta; The first locking-free plane-elastic finite element: historia mathematica [pdf][ps]; Received 1999-01-30 * Finite elements, locking, elasticity * AMS 65N30, 73C02
A410: Kari Eloranta; Bounded Triangular and Kagomé Ice [pdf][pdf.gz]; Received 1999-01-30 * 18/20-vertex model, ice model, Kagomé lattice, probabilistic cellular automaton
A409: Jukka Tuomela, Teijo Arponen; On the numerical solution of involutive ordinary differential systems: Boundary value problems [pdf][ps]; Received 1998-12-30 * differential algebraic equations, integral manifolds, Runge-Kutta methods * AMS 52C20, 68Q80, 82C20
A408: Ville Turunen; Commutator Characterization of Periodic Pseudodifferential Operators [pdf][ps]; Received 1998-12-30 * Commutators, pseudodifferential operators on manifolds, periodic pseudodifferential operators * AMS Primary 47G30, secondary 47B47, 58G15
A407: Jarmo Malinen; Discrete time Riccati equations and invariant subspaces of linear operators [pdf][ps]; Received 1999-02-28 * Discrete time, feedback control, infinite-dimensional, input-output stable, Riccati equation, operator model, invariant subspace * AMS 47A15, 47A68, 47N70, 93B28
A406: Jarmo Malinen; Riccati Equations for H-Infinity Discrete Time Systems: Part II [pdf][ps]; Received 1999-02-28 * (J, S)-inner-outer factorization, nonnegative solution, algebraic Riccati equation, discrete time, infinitedimensional * AMS 30D55, 47A68, 47N70, 93B28, 93C55
A405: Jarmo Malinen; Riccati Equations for H-Infinity Discrete Time Systems: Part I [pdf][ps]; Received 1999-02-28 * Spectral factorization, algebraic Riccati equation, discrete time, infinite-dimensional * AMS 47A68, 47N70, 49J35, 93B28, 93C55
A404: Jarmo Malinen; Toeplitz Preconditioning of Toeplitz Matrices an Operator Theoretic Approach [pdf][ps]; Received 1999-02-28 * Toeplitz operator, Krylov subspace methods, preconditioning, speed estimate, superlinear, linear * AMS 65T10, 65T20, 47B35
A403: Saara Hyvönen, Olavi Nevanlinna; Robust bounds for Krylov method [pdf][ps]; Received 1998-11-30 * Krylov methods, meromorphic functions, resolvent operator * AMS 47A10, 65F10
A402: Saara Hyvönen; Growth of resolvents of certain infinite matrice [pdf][ps]; Received 1998-11-30 * meromorphic functions, resolvent operator * AMS 47A10, 65F10
A401: Jukka Tuomela; On the Numerical Solution of Involutive Ordinary Differential Systems: Boundary value problems [pdf][ps]; Received 1998-12-30 * nonlinear boundary value problems, nonlinear boundary conditions, jet spaces, linking number * AMS primary 34B15, 58F18, secondary 65L10, 58A20
A400: Seppo Hiltunen; Implicit functions from locally convex spaces to Banach spaces [pdf][pdf.gz]; Received 1999-01-30 * Differentiability, implicit functions, infinite dimensional manifolds * AMS 58C20, 58C15, 46G05
A399: Otso Ovaskainen; Asymptotic and Adaptive Approaches to thin Body Problems in Elasticity [ps]; Received 1998-12-30 * linear elasticity, shells, finite elements, adaptivity * AMS 73C02, 73C20, 73K15
A398: Jukka Liukkonen; Uniqueness of Electromagnetic Inversion by Local Surface Measurements [pdf][ps]; Received 1998-08-30
A397: Jukka Tuomela; On the Numerical Solution of Involutive Ordinary Differential Systems [pdf][ps]; Received 1998-12-30 * differential algebraic equations, integral manifolds, Runge-Kutta methods * AMS primary 34A26, 65L05, secondary 35N10, 58F40
A396: Philippe Clément, Gustaf Gripenberg, Stig-Olof Londen; Hölder Regularity for a Linear Fractional Evolution Equation [pdf][ps]; Received 1998-12-30 * fractional derivative, Hölder continuity, integro-differential equation * AMS 35K99, 35L99, 45K05
A395: Matti Lassas, Erkki Somersalo; Analysis of the PML Equations in General Convex Geometry [pdf][ps]; Received 1998-12-30 * Perfectly matched layor, articifial boundary conditions, scattering, mesh termination * AMS 35J05, 35Q60, 35J25, 65N30, 78A40
A393: Jukka Tuomela, Teijo Arponen; On the numerical solution of involutive ordinary differential equation systems [pdf][ps]; Received 1998-12-30 * differential algebraic equations, overdetermined differential equations, formal theory of partial differential equations, jet spaces * AMS primary 34A26, 65L05, secondary 35N10, 58A20
A392: Hermann Brunne, Arvet Pedas, Gennadi Vainikko; The Piecewise Polynomial Collocation Method for Nonlinear Weakly Singular Volterra Equations [pdf][pdf.gz]; Received 1997-12-30
A391: Kari Eloranta; The Bounded Eight-Vertex Model [pdf][ps]; Received 1997-12-30 * eight-vertex model, symbolic dynamics, tiling, cellular automaton * AMS 52C20, 58F08, 82C20
A390: Kari Eloranta; Diamond Ice [pdf][ps]; Received 1997-12-30 * ice model, sixvertex model, symbolic dynamics cellular automaton, tiling, domino * AMS 52C20, 68Q80, 82C20
A389: Olavi Nevanlinna; Growth of Operator Valued Meromorphic Functions [pdf][ps]; Received 1997-12-30 * meromorphic functions, resolvent operator, perturbation theory * AMS 30G30, 47A10, 47B10
A388: Jukka Tuomela; On the Resolution of Singularities of Ordinary Differential Systems [pdf][ps]; Received 1997-12-30 * singularities, differential equations, jet spaces * AMS Primary 58F14, 34A26, secondary 34C40
A387: Gennadi Vainikko; Fast Solvers of the Lippman-Schwinger Equation [pdf][pdf.gz]; Received 1997-12-30 * Lippmann-Schwinger equation, Helmholtz equation, cubatures, collocation, fast solvers * AMS 35Q60, 65R20, 65T
A386: Ville Turunen, Gennadi Vainikko; On Symbol Analysis of Periodic Pseudodiff. Oper. [pdf][pdf.gz]; Received 1997-12-30
A385: Jarmo Malinen; Minimax Control of Distributed Discrete Time Systems through Spectral Factorization [pdf][pdf.gz]; Received 1997-12-30
A384: Jarmo Malinen; Well-Posed Discrete Time Linear Systems and Their Feedbacks [pdf][pdf.gz]; Received 1997-12-30
A383: Kalle Mikkola; On the Stable H2 and H-Infinity Infinite-Dimensional Regular Problems and Their Algebraic Riccati Equations [pdf][ps]; Received 1997-12-30 * H2 control, suboptimal H-infinity control, (J, S)-spectral factorization, algebraic Riccati equation, weakly regular well-posed linear systems * AMS 49J27, 93B36, 47A68
A382: Nikolai Volkov; Algebraizations of the First Order Logic [pdf][pdf.gz]; Received 1997-12-30
A336: Jukka Tuomela; On the construction of arbitrary order schemes for many dimensional wave equation [pdf]; Received * high order schemes, wave equation * AMS 65M10 * 31 pages

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