High performance parallel numerical methods for Volterra equations with weakly singular kernels
| Autor: | Dajana Conte, Ida Del Prete, Giovanni Capobianco |
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| Rok vydání: | 2009 |
| Předmět: |
Applied Mathematics
Numerical analysis Mathematical analysis Expression (computer science) Integral equation Volterra integral equation Waveform relaxation methods Computational Mathematics symbols.namesake Discrete time and continuous time Rate of convergence Parallel methods symbols Waveform Abel equations Linear equation Abel equations Parallel methods Waveform relaxation methods Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 228:571-579 |
| ISSN: | 0377-0427 |
| Popis: | Non-stationary discrete time waveform relaxation methods for Abel systems of Volterra integral equations using fractional linear multistep formulae are introduced. Fully parallel discrete waveform relaxation methods having an optimal convergence rate are constructed. A significant expression of the error is proved, which allows us to estimate the number of iterations needed to satisfy a prescribed tolerance and allows us to identify the problems where the optimal methods offer the best performance. The numerical experiments confirm the theoretical expectations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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