Technical Reports

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UBC CS TR-82-04 Summary

Collocation for Singular Perturbation Problems II, May 1982 Uri Ascher and Weiss R.

We consider singularly perturbed linear boundary value problems for ODES, with variable coefficients, but without turning points. Convergence results are obtained for collocation schemes based on Gauss and Lobatto points, showing that highly accurate numerical solutions for these problems can be obtained at a very reasonable cost using such schemes, provided that appropriate meshes are used. The implementation of the numerical schemes and the practical construction of corresponding meshes are discussed. .br These results extend those of a previous paper which deals with systems with constant coefficients.

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