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Additive splitting methods for parallel solutions of evolution problems
DOI:10.1016/j.jcp.2021.110320.png)
Abstract
En 中文
We demonstrate how a multiplicative splitting method of order P can be utilized to construct an additive splitting method of order P + 3. The weight coefficients of the additive method depend only on P, which must be an odd number. Specifically we discuss a fourth-order additive method, which is yielded by the Lie-Trotter splitting. We provide error estimates, stability analysis of a test problem, and numerical examples with special discussion of the parallelization properties and applications to nonlinear optics . (c) 2021 Elsevier Inc. All rights reserved. Superscript/Subscript Available
Keywords:
Splitting method
Richardson extrapolation
Nonlinear Schr?dinger equation
Nonlinear optics
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