Multigrid method for numerical solution of ordinary differential equations

J. M. Kozakiewicz; J. R. Mika

Mathematica Applicanda (1992)

  • Volume: 21, Issue: 35
  • ISSN: 1730-2668

Abstract

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We consider the initial value problem for systems of ordinary differential equations such that the solution vector can be split into subvectors and each subvector represented as a product of a scalar amplitude and a shape vector which changes slowly with time. The equations for the shape vectors can be solved with much larger time steps than those required for the original equations. The numerical results show that a substantial reduction in the computing time may be achieved

How to cite

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J. M. Kozakiewicz, and J. R. Mika. "Multigrid method for numerical solution of ordinary differential equations." Mathematica Applicanda 21.35 (1992): null. <http://eudml.org/doc/293210>.

@article{J1992,
abstract = {We consider the initial value problem for systems of ordinary differential equations such that the solution vector can be split into subvectors and each subvector represented as a product of a scalar amplitude and a shape vector which changes slowly with time. The equations for the shape vectors can be solved with much larger time steps than those required for the original equations. The numerical results show that a substantial reduction in the computing time may be achieved},
author = {J. M. Kozakiewicz, J. R. Mika},
journal = {Mathematica Applicanda},
keywords = {Initial value problems},
language = {eng},
number = {35},
pages = {null},
title = {Multigrid method for numerical solution of ordinary differential equations},
url = {http://eudml.org/doc/293210},
volume = {21},
year = {1992},
}

TY - JOUR
AU - J. M. Kozakiewicz
AU - J. R. Mika
TI - Multigrid method for numerical solution of ordinary differential equations
JO - Mathematica Applicanda
PY - 1992
VL - 21
IS - 35
SP - null
AB - We consider the initial value problem for systems of ordinary differential equations such that the solution vector can be split into subvectors and each subvector represented as a product of a scalar amplitude and a shape vector which changes slowly with time. The equations for the shape vectors can be solved with much larger time steps than those required for the original equations. The numerical results show that a substantial reduction in the computing time may be achieved
LA - eng
KW - Initial value problems
UR - http://eudml.org/doc/293210
ER -

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