Article ID Journal Published Year Pages File Type
470393 Computers & Mathematics with Applications 2014 14 Pages PDF
Abstract

This paper explores applications of the exponential splitting method for approximating highly oscillatory solutions of the nn-dimensional paraxial Helmholtz equation. An eikonal transformation is introduced for oscillation-free platforms and matrix operator decompositions. It is found that the sequential, parallel and combined exponential splitting formulas possess not only anticipated algorithmic simplicity and efficiency, but also the accuracy and asymptotic stability required for highly oscillatory wave computations.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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