Mesh selection for stiff two-point boundary value problems

DOI10.1007/BF02140684zbMath0804.65077MaRDI QIDQ1334256

Jeff R. Cash, Gerald Moore, R. W. Wright

Publication date: 15 January 1995

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

algorithmssingular perturbationerror estimationcollocationstiff problemsmesh selectionnon-stiff problemsCOLSYS

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Multiple scale methods for ordinary differential equations (34E13)

Related Items (5)

Modular analysis of sequential solution methods for almost block diagonal systems of equations ⋮ A variational approach to connecting orbits in nonlinear dynamical systems ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ A new mesh selection algorithm, based on conditioning, for two-point boundary value codes ⋮ The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems

Uses Software

• AUTO
• COLNEW
• AUTO-86
• COLSYS

Cites Work

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• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
• Continuation and Collocation for Parameter-Dependent Boundary Value Problems
• Collocation Software for Boundary-Value ODEs
• Equidistributing Meshes with Constraints
• TUTORIAL ON CONTINUATION
• Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
• On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems
• On Collocation Implementation for Singularly Perturbed Two-Point Problems

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