Abstract
Singularly perturbed boundary value ordinary differential problems are considered. For numerical approximation, families of symmetric difference schemes, which are equivalent to certain collocation schemes based on Gauss and Lobatto points, are used. The performance of these two families of schemes is compared. while Lobatto schemes are more accurate for some classes of problems, Gauss schemes are more stable in general.
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© 1985 Birkhäuser Boston, Inc.
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Ascher, U. (1985). Two Families of Symmetric Difference Schemes for Singular Perturbation Problems. In: Ascher, U.M., Russell, R.D. (eds) Numerical Boundary Value ODEs. Progress in Scientific Computing, vol 5. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5160-6_10
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DOI: https://doi.org/10.1007/978-1-4612-5160-6_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-9590-7
Online ISBN: 978-1-4612-5160-6
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