An Accurate Polynomial Approximation of Exponential Integrators
| Autor: | A. Y. Suhov |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Numerical Analysis
Polynomial Applied Mathematics Mathematical analysis General Engineering Double exponential function Wave equation Exponential integrator Exponential polynomial Theoretical Computer Science Exponential function Computational Mathematics Computational Theory and Mathematics Exponential decay Variational integrator Software Mathematics |
| Zdroj: | Journal of Scientific Computing. 60:684-698 |
| ISSN: | 1573-7691 0885-7474 |
| Popis: | Numerical time propagation of semi-linear equations such as reaction---diffusion, non-linear Schrodinger or semi-linear wave equations can be performed by the use of exponential time differencing. However, the evaluation of exponential integrators poses a serious technical complexity, particularly in multiple dimensions. In this paper we approach this difficulty by deriving simple polynomial series approximations of exponential integrators. Several numerical examples are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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