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This document discusses solving nonlinear elliptic partial differential equations using meshfree approximation with radial basis functions. It describes using an approximate Newton iteration method and Nash-Moser iteration to solve the equations, with the numerical inversion approximated using RBF collocation. It provides examples of Matérn radial basis functions and their properties, and shows Matérn functions and their Fourier transforms for different smoothness parameters.

Author

enatt2012

Language

EN