The method of fundamental solutions for linear diffusion-reaction equations

By K. Balakrishnan, Palghat A. Ramachandran. 2000

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The method of fundamental solutions for scattering and radiation problems (2003, unknown): “Balakrishnan and Ramachandran [52] applied the MFS to singular problems governed by the modiﬁed Helmholtz equation and discussed the positioning of the boundary points and singularities to yield improved accuracy.”
Treatment of singularities in the method of fundamental solutions for two-dimensional Helmholtz-type equations (2010, methodology): “Balakrishnan and Ramachandran [37] have employed the MFS for the numerical solution of linear diffusion reaction equations in irregular geometries in two and three dimensions.”
Kernel techniques: From machine learning to meshless methods (2006, background): “…differential equations (Hörmander 2003) and on special fundamental solutions (Kythe 1996, Golberg and Chen 1999, Chen, Marcozzi and Choi 1999a, Balakrishnan and Ramachandran 2000, Alves, Chen and Šarler 2002, Poullikkas, Karageorghis and Georgiou 2002, Hon and Wei 2004), where we again…”
Polynomial particular solutions for certain partial differential operators (2003, methodology): “We refer the readers to recent work where this ill-conditioning is studied [ 19 , 20].”