Collocation methods for differential equations with piecewise linear delays
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Bibliographic record
Abstract
After analyzing the regularity of solutions to delay differentialequations (DDEs) with piecewise continuous (linear) non-vanishingdelays, we describe collocation schemes using continuous piecewisepolynomials for their numerical solution. We show that for carefullydesigned meshes these collocation solutions exhibit optimal ordersof global and local superconvergence analogous to the ones for DDEswith constant delays. Numerical experiments illustrate thetheoretical superconvergence results.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
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