On parallel methods for boundary value ODEs

DOI10.1007/BF02239008zbMath0723.65061MaRDI QIDQ756947

S. Y. P. Chan, Uri M. Ascher

Publication date: 1991

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

stabilitysystemsNewton's methodcondition numberparallel algorithmsparallel complexitystiff problemsmultiple shooting algorithm

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (8)

A survey of parallel direct methods for block bidiagonal linear systems on distributed memory computers ⋮ High performance solution of partial differential equations discretized using a Chebyshev spectral collocation method ⋮ Parallel iterative solvers for boundary value methods ⋮ Parallel solution of almost block diagonal systems on a hypercube ⋮ Parallel solution of almost block diagonal systems on the CRAY Y-MP using level 3 BLAS ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ Quadrature methods for highly oscillatory linear and nonlinear systems of ordinary differential equations. I ⋮ A parallel mesh chopping algorithm for a class of two-point boundary value problems

Uses Software

• COLSYS

Cites Work

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• Massive parallelism across space in ODEs
• General framework, stability and error analysis for numerical stiff boundary value methods
• Parallel methods for ordinary differential equations
• On shooting methods for boundary value problems
• Solving Tridiagonal Systems on Ensemble Architectures
• An Algebraic Approximation for the Matrix Exponential in Singularly Perturbed Boundary Value Problems
• The Close Relationships between Methods for Solving Two-Point Boundary Value Problems
• Techniques for Solving Block Tridiagonal Systems on Reconfigurable Array Computers
• Numerical Methods for Stiff Two-Point Boundary Value Problems
• On Dichotomy and Well Conditioning in BVP
• Logarithmic Reduction of the Wrapping Effect with Application to Ordinary Differential Equations
• Decoupling and Stability of Algorithms for Boundary Value Problems
• Solution of Partial Differential Equations on Vector and Parallel Computers
• A Riccati Transformation Method for Solving Linear BVP<scp>s</scp>. I: Theoretical Aspects
• Collocation Software for Boundary-Value ODEs
• Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems
• On Collocation Implementation for Singularly Perturbed Two-Point Problems
• Parallel methods for integrating ordinary differential equations
• The Numerical Solution of Linear Boundary Value Problems

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