Radial Basis Functions

@inproceedings{Chen2014RadialBF,
  title={Radial Basis Functions},
  author={Wen Chen and Zhuo-Jia Fu and C. S. Chen},
  year={2014}
}
The traditional basis functions in numerical PDEs are mostly coordinate functions, such as polynomial and trigonometric functions, which are computationally expensive in dealing with high dimensional problems due to their dependency on geometric complexity. Alternatively, radial basis functions (RBFs) are constructed in terms of one-dimensional distance variable irrespective of dimensionality of problems and appear to have a clear edge over the traditional basis functions directly in terms of… CONTINUE READING