3 papers
math.NA2021
A note on transformed Fourier systems for the approximation of non-periodic signals
Robert Nasdala, Daniel Potts
A variety of techniques have been developed for the approximation of non-periodic functions. In particular, there are approximation techniques based on rank- lattices and transf…
math.NA2019
Efficient multivariate approximation on the cube
Robert Nasdala, Daniel Potts
We combine a periodization strategy for weighted -integrands with efficient approximation methods in order to approximate multivariate non-periodic functions on the high-dim…
math.NA2018
Transformed rank-1 lattices for high-dimensional approximation
Robert Nasdala, Daniel Potts
This paper describes an extension of Fourier approximation methods for multivariate functions defined on the torus to functions in a weighted Hilbert space $L_{2}(\m…