Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/4032

 Title: Numerical Integration of Two-Dimensional Complex-Valued Functions for the needs of BIEM Authors: Laskov, Lasko Keywords: Numerical IntegrationTwo-Dimensional Complex-Valued FunctionsGSL C wrapper Issue Date: 2020 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Journal of Computing, Vol. 14, No 1-2, (2020), 1p-12p Abstract: Numerical integration is a key problem with numerous applications, including the boundary integral equation method (BIEM). GSL [7] provides powerful implementations of a broad variety of well-known numerical methods and algorithms. However, its routines have certain limitations: the numerical integration based on QUADPACK library [2] 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. URI: http://hdl.handle.net/10525/4032 ISSN: 1312-6555 Appears in Collections: Volume 14, Number 1-2

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