oaioai:eprints.nbu.bg:4254

Numerical integration of two-dimensional complex-valued functions for the needs of BIEM

Abstract

Numerical integration is a key problem with numerous applications, including the boundary integral equation method (BIEM). GSL \cite{Gough2009} provides powerful implementations of broad variety of well-known numerical methods and algorithms. However, its routines have certain limitations: the numerical integration based on QUADPACK library \cite{Piessens1983} is implemented only in the case of one-dimensional functions. In this paper we present an extension of the GSL numerical integration routines for the special case of two-dimensional complex-valued functions. The presented approach is part of our effort to build a BIEM software system for solving a 3D elastodynamics problem for wave propagation in a continuously inhomogeneous half-space

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oaioai:eprints.nbu.bg:4254Last time updated on 9/25/2020

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