Department of Mathematics and Systems Analysis

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Research reports by Jukka Tuomela

Here are the reports authored by Jukka Tuomela. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

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
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
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
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
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
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
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
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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