The method of approximate particular solutions for solving certain partial differential equations

By Ching-Shyang Chen, Chia-Ming Fan, Pihua Wen. 2012

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Application of the Generalized Finite-Difference Method to Inverse Biharmonic Boundary-Value Problems (2014, methodology): “In comparison with the LRBFCM and the GFDM, the fully populated matrix in the MAPS will cost more computer resources, so the MAPS cannot be used for solving large-scale problems.”
Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions (2012, methodology): “This class includes indirect RBFN method (IRBFN) [27], the method of approximate particular solutions (MAPS) [6], the localized method of approximate particular solutions (LMAPS) [47], and others.”
Generalized finite difference method for solving two-dimensional inverse Cauchy problems (2015, methodology): “In addition to mesh-based numerical methods, there are many promising meshless methods proposed and developed in the past few decades, such as the MFS,[11,12] the MCTM,[13–15] the method of approximate particular solutions,[16,17] the local radial basis function collocation method (LRBFCM),[18–24] t”