On the efficiency of a class of A-stable methods

The numerical solution of systems of differential equations of the form B dx/dt= sigma (t)Ax(t)+f(t), x(0) given, where B and B A (with B and -(A+A/sup tau /) positive definite) are supposed to be large sparse matrices, is considered. A-stable methods like the Implicit Runge Kutta methods based on R...

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Detalles Bibliográficos
Autor principal: Axelsson, O
Lenguaje:eng
Publicado: 1974
Materias:
Engineering
Acceso en línea:https://dx.doi.org/10.1007/BF01933227
http://cds.cern.ch/record/873527
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author Axelsson, O
author_facet Axelsson, O
author_sort Axelsson, O
collection CERN
description The numerical solution of systems of differential equations of the form B dx/dt= sigma (t)Ax(t)+f(t), x(0) given, where B and B A (with B and -(A+A/sup tau /) positive definite) are supposed to be large sparse matrices, is considered. A-stable methods like the Implicit Runge Kutta methods based on Radau quadrature are combined with iterative methods for the solution of the algebraic systems of equations. (12 refs).
id cern-873527
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1974
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spelling cern-8735272019-09-30T06:29:59Zdoi:10.1007/BF01933227http://cds.cern.ch/record/873527engAxelsson, OOn the efficiency of a class of A-stable methodsEngineeringThe numerical solution of systems of differential equations of the form B dx/dt= sigma (t)Ax(t)+f(t), x(0) given, where B and B A (with B and -(A+A/sup tau /) positive definite) are supposed to be large sparse matrices, is considered. A-stable methods like the Implicit Runge Kutta methods based on Radau quadrature are combined with iterative methods for the solution of the algebraic systems of equations. (12 refs).oai:cds.cern.ch:8735271974
spellingShingle Engineering
Axelsson, O
On the efficiency of a class of A-stable methods
title On the efficiency of a class of A-stable methods
title_full On the efficiency of a class of A-stable methods
title_fullStr On the efficiency of a class of A-stable methods
title_full_unstemmed On the efficiency of a class of A-stable methods
title_short On the efficiency of a class of A-stable methods
title_sort on the efficiency of a class of a-stable methods
topic Engineering
url https://dx.doi.org/10.1007/BF01933227
http://cds.cern.ch/record/873527
work_keys_str_mv AT axelssono ontheefficiencyofaclassofastablemethods

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