2D-WFMM swMATH ID: 10424 Software Authors: Cho, Min Hyung; Cai, Wei Description: A wideband fast multipole method for the two-dimensional complex Helmholtz equation. A wideband fast multipole method (FMM) for the 2D Helmholtz equation is presented. It can evaluate the interactions between \(N\) particles governed by the fundamental solution of 2D complex Helmholtz equation in a fast manner for a wide range of complex wave number \(k\), which was not easy with the original FMM due to the instability of the diagonalized conversion operator. This paper includes the description of theoretical backgrounds, the FMM algorithm, software structures, and some test runs. Homepage: http://www.cpc.cs.qub.ac.uk/summaries/AEHI_v1_0.html Keywords: wideband fast multipole method; Helmholtz equation; fast solver; numerical examples; algorithm Related Software: Chebfun; DASHMM; Cilk; GMRES; FMM-Yukawa; FIFA Cited in: 6 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A wideband fast multipole method for the two-dimensional complex Helmholtz equation. Zbl 1219.65140Cho, Min Hyung; Cai, Wei 2010 all top 5 Cited by 11 Authors 4 Cho, Minhyung 3 Cai, Wei 1 Chen, Dangxing 1 Chen, Haibo 1 Chen, Leilei 1 Davis, Christopher B. 1 Huang, Jingfang 1 Kim, June Gi 1 Oh, Hae-Soo 1 Xiang, Shuhuang 1 Zheng, Changjun Cited in 5 Serials 2 Journal of Computational Physics 1 Computer Physics Communications 1 Computational Mechanics 1 Journal of Scientific Computing 1 International Journal of Computer Mathematics Cited in 5 Fields 4 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 2 Optics, electromagnetic theory (78-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year