An example of ill-conditioning in the numerical solution of singular perturbation problems

Author:
Fred W. Dorr

Journal:
Math. Comp. **25** (1971), 271-283

MSC:
Primary 65L05

MathSciNet review:
0297142

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Abstract | References | Similar Articles | Additional Information

Abstract: The use of finite-difference methods is considered for solving a singular perturbation problem for a linear ordinary differential equation with an interior turning point. Computational results demonstrate that such problems can lead to very ill-conditioned matrix equations.

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DOI:
https://doi.org/10.1090/S0025-5718-1971-0297142-0

Keywords:
Ordinary differential equations,
boundary-value problems,
singular perturbation problems,
finite-difference equations,
matrix equations,
ill-conditioning

Article copyright:
© Copyright 1971
American Mathematical Society