![]() Local polynomial based methods (finite difference, finite element, and finite volume) are limited by their algebraic convergence rates. ![]() ![]() Classical methods for the numerical solution of PDEs (finite difference, finite element, finite volume, and pseudospectral methods) are based on polynomial interpolation. RBF methods also have become important tools for solving Partial Differential Equations (PDEs) in complexly shaped domains. Abstract: ii Preface Radial Basis Function (RBF) methods have become the primary tool for interpolating multidimensional scattered data.
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