A Kernel-Independent Sum-of-Gaussians Method by de la Vallee-Poussin Sums
From MaRDI portal
Publication:5157080
DOI10.4208/aamm.OA-2020-0254zbMath1488.65029arXiv2010.05192OpenAlexW3167572516MaRDI QIDQ5157080
Jiuyang Liang, Zixuan Gao, Zhenli Xu
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.05192
Algorithms for approximation of functions (65D15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (2)
A kernel-independent sum-of-exponentials method ⋮ Random Batch Sum-of-Gaussians Method for Molecular Dynamics Simulations of Particle Systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- The uselessness of the fast Gauss transform for summing Gaussian radial basis function series
- Fast convolution with the free space Helmholtz Green's function
- Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension
- Rapid evaluation of radial basis functions
- A fast adaptive multipole algorithm in three dimensions
- Asymptotics for the approximation of wave functions by exponential sums
- Generalized Gibbs phenomenon for Fourier partial sums and de la Vallée-Poussin sums
- Approximation by exponential sums revisited
- A bootstrap method for sum-of-poles approximations
- On approximation of functions by exponential sums
- The Fast Generalized Gauss Transform
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- On the efficient computation of high-dimensional integrals and the approximation by exponential sums
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
- On Least Squares Exponential Sum Approximation With Positive Coefficients
- Least Squares Approximation of Completely Monotonic Functions by Sums of Exponentials
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- An Improved Fast Multipole Algorithm for Potential Fields on the Line
- Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation
- The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions
- Fast Convolution for Nonreflecting Boundary Conditions
- A Random Batch Ewald Method for Particle Systems with Coulomb Interactions
- A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations
- Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain
- On Fitting Exponentials by Nonlinear Least Squares
- A Fast Summation Tree Code for Matérn Kernel
- Efficient representation of nonreflecting boundary conditions for the time‐dependent Schrödinger equation in two dimensions
- Approximation of 1/x by exponential sums in [1, ∞)
- The Fast Gauss Transform
- Approximation of periodic functions by Vallée Poussin sums
This page was built for publication: A Kernel-Independent Sum-of-Gaussians Method by de la Vallee-Poussin Sums