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An Accurate Polynomial Approximation of Exponential Integrators

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Abstract

Numerical time propagation of semi-linear equations such as reaction–diffusion, non-linear Schrödinger 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.

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  1. Department of Applied Mathematics, Tel Aviv University, 69978 , Tel Aviv, Israel

    A. Y. Suhov

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  1. A. Y. Suhov
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Suhov, A.Y. An Accurate Polynomial Approximation of Exponential Integrators. J Sci Comput 60, 684–698 (2014). https://doi.org/10.1007/s10915-013-9813-x

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  • DOI: https://doi.org/10.1007/s10915-013-9813-x

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