In recent years, there has been a resurgence in the construction and implementation of exponential integrators. which are numerical methods specifically designed for he numerical solution of spatially discretized semi...
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In recent years, there has been a resurgence in the construction and implementation of exponential integrators. which are numerical methods specifically designed for he numerical solution of spatially discretized semi-linear partial differential equations. Exponential integrators use the matrix exponential and related matrix functions within the formulation of the numerical method. The scaling and squaringmethod is the most widely used method for computing the matrix exponential. The aim of this paper is to discuss the efficient and accurate evaluation of the matrix exponential and related matrix functions Using a scaling and modified squaring method. (c) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
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