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Radial basis functions in scattered data interpolation and the meshless method of numerical solution of PDEs. (Chinese. English summary) Zbl 1103.65307

Summary: We introduce recent results on scattered data interpolation, especially with radial basis functions, and related applications in Hermitian Birkhoff type interpolation and the meshless method for numerical solution of PDEs.

MSC:

65D10 Numerical smoothing, curve fitting
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
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