Fast evaluation of convolution-type nonlocal potential
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Publication:6665214
DOI10.12286/jssx.j2023-1147MaRDI QIDQ6665214
Publication date: 17 January 2025
Published in: Mathematica Numerica Sinica (Search for Journal in Brave)
singular integralFourier spectral methodconvolution-type nonlocal potentialdiscrete convolution structuresmooth and fastdecaying density
Analysis of algorithms and problem complexity (68Q25) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)
Cites Work
- Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
- Fast convolution with the free space Helmholtz Green's function
- Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation
- Mathematical theory and numerical methods for Bose-Einstein condensation
- A bootstrap method for sum-of-poles approximations
- Fast convolution with free-space Green's functions
- Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
- A kernel-independent sum-of-exponentials method
- Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT
- Spectral Methods
- Fast Fourier Transforms for Nonequispaced Data
- Spectral Methods in MATLAB
- The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions
- Accelerating the Nonuniform Fast Fourier Transform
- A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates
- Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- A Preconditioned Conjugated Gradient Method for Computing Ground States of Rotating Dipolar Bose-Einstein Condensates via Kernel Truncation Method for Dipole-Dipole Interaction Evaluation
- Fast One-Dimensional Convolution with General Kernels Using Sum-of-Exponential Approximation
- A New Mixed Potential Representation for Unsteady, Incompressible Flow
- A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey−Stewartson equations
- Exact Artificial Boundary Condition for the Poisson Equation in the Simulation of the 2D Schrödinger-Poisson System
- Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT
- Dimension Reduction of the Schrödinger Equation with Coulomb and Anisotropic Confining Potentials
- Efficient representation of nonreflecting boundary conditions for the time‐dependent Schrödinger equation in two dimensions
- Efficient Computation of the Complex Error Function
- Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains
- Random Batch Sum-of-Gaussians Method for Molecular Dynamics Simulations of Particle Systems
- Stability and convergence analysis of high-order numerical schemes with DtN-type absorbing boundary conditions for nonlocal wave equations
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