Fast sparse nonlinear Fourier expansions of high dimensional functions

DOI10.1016/j.jmaa.2014.04.027zbMath1307.65183OpenAlexW2062104923MaRDI QIDQ488526

Xu Liu, Haiye Yu, Rui Wang

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.027

zbMATH Keywords

numerical experimentfast discrete algorithmmultidimensional nonlinear Fourier basisoptimal convergence ordersparse nonlinear Fourier expansions

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier series and coefficients in several variables (42B05)

Cites Work

• Hyperbolic cross and the complexity of the approximate solution of Fredholm integral equations of the second kind with differentiable kernels
• Fouriertransform on sparse grids with hierarchical bases
• Optimized tensor-product approximation spaces
• Information complexity of multivariate Fredholm integral equations in Sobolev classes
• Fourier transform on sparse grids: Code design and the time dependent Schrödinger equation
• Fast discrete algorithms for sparse Fourier expansions of high dimensional functions
• Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids
• A construction of interpolating wavelets on invariant sets
• On the convergence of multiple Fourier series
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