A fast rapidly convergent method for approximation of convolutions with applications to wave scattering and some other problems
DOI10.1016/j.jcp.2022.111119OpenAlexW4221113976WikidataQ114163343 ScholiaQ114163343MaRDI QIDQ2137919
Jagabandhu Paul, Awanish Kumar Tiwari, Akash Anand, Ambuj Pandey
Publication date: 11 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111119
convolutionscattering problemweakly singular kernelLippmann-Schwinger integral equationhigh-orderFourier smoothing
Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx) Numerical methods for integral equations, integral transforms (65Rxx)
Uses Software
Cites Work
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- A fast, higher-order solver for scattering by penetrable bodies in three dimensions
- Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
- A fast, bandlimited solver for scattering problems in inhomogeneous media
- High-order quadratures for the solution of scattering problems in two dimensions
- Fast convolution with the free space Helmholtz Green's function
- Inverse acoustic and electromagnetic scattering theory.
- A high-order, fast algorithm for scattering calculation in two dimensions
- Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation
- An efficient, preconditioned, high-order solver for scattering by two-dimensional inhomogeneous media
- Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
- The fast multipole method and Fourier convolution for the solution of acoustic scattering on regular volumetric grids
- The fast multipole method: Numerical implementation
- What is the fractional Laplacian? A comparative review with new results
- Improved convergence of fast integral equation solvers for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface
- An efficient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface
- Fast convolution with free-space Green's functions
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- A New Fast-Multipole Accelerated Poisson Solver in Two Dimensions
- Corrected trapezoidal rules for a class of singular functions
- A Linear Sampling Method for the Detection of Leukemia Using Microwaves
- Acoustic Scattering by Inhomogeneous Obstacles
- A Linear Sampling Method for the Detection of Leukemia Using Microwaves II
- Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media
- Sparsifying Preconditioner for the Lippmann--Schwinger Equation
- Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT
- Higher-Order Fourier Approximation in Scattering by Two-Dimensional, Inhomogeneous Media
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