Optimal Parameters for Third Order Runge–Kutta Exponential Integrators for Convection–Diffusion Problems
| Autor: | Naveed Iqbal, Bawfeh Kingsley Kometa, Adel A. Attiya |
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| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
Class (set theory) Applied Mathematics General Engineering Exponential integrator Theoretical Computer Science Computational Mathematics Runge–Kutta methods Third order Fourth order Computational Theory and Mathematics Applied mathematics Convection–diffusion equation Software Mathematics Free parameter |
| Zdroj: | Journal of Scientific Computing. 88 |
| ISSN: | 1573-7691 0885-7474 |
| DOI: | 10.1007/s10915-021-01523-x |
| Popis: | We re-visit the semi-Lagrangian Runge–Kutta exponential integrators presented in Celledoni et al. (J Sci Comput 41:139–164, 2009) for Convection-dominated convection-diffusion problems. Third order accurate methods of this class consist of subsets of coefficients of commutator-free exponential integrators including some free parameters. We consider an optimal choice of parameters for the third order accurate methods based on the least-squares methods applied on fourth order commutator-free conditions. |
| Databáze: | OpenAIRE |
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