Meshless methods for two-dimensional oscillatory Fredholm integral equations
type: Item
instance of: scholarly article
title: Meshless methods for two-dimensional oscillatory Fredholm integral equations
zbMATH Open document ID: 1503.65322
published in: Journal of Computational and Applied Mathematics
publication date: 2018-04-16T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 6860278
zbMATH Keywords: Fredholm integral equations
zbMATH Keywords: Levin's quadrature
zbMATH Keywords: PDE
zbMATH Keywords: ODE
zbMATH Keywords: multi-quadric radial basis function (MQ-RBF)
zbMATH Keywords: stationary phase point
author: Siraj-ul-Islam
author: M. Zaheeruddin
MaRDI profile type: Publication
full work available at URL: j.cam.2017.11.021
OpenAlex ID: W2773581426
cites work: Meshless methods for multivariate highly oscillatory Fredholm integral equations
cites work: On the unsteady Poiseuille flow in a pipe
cites work: A Nyström interpolant for some weakly singular linear Volterra integral equations
cites work: Q5200269
cites work: The Numerical Solution of Integral Equations of the Second Kind
cites work: Q4255464
cites work: The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels
cites work: Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case
cites work: A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
cites work: Inverse acoustic and electromagnetic scattering theory.
cites work: New quadrature rules for highly oscillatory integrals with stationary points
cites work: Extrapolation of Nyström solution for two dimensional nonlinear Fredholm integral equations
cites work: A fast numerical solution method for two dimensional Fredholm integral equations of the second kind
cites work: Efficient quadrature of highly oscillatory integrals using derivatives
cites work: A universal solution to one-dimensional oscillatory integrals
cites work: Delaminating quadrature method for multi-dimensional highly oscillatory integrals
cites work: Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
cites work: Numerical integration of multi-dimensional highly oscillatory, gentle oscillatory and non-oscillatory integrands based on wavelets and radial basis functions
cites work: A rapid solution of a kind of 1D Fredholm oscillatory integral equation
cites work: Integral Equations with a Rapidly Oscillating Kernel
cites work: Local RBF-based differential quadrature collocation method for the boundary layer problems
cites work: A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
cites work: Q4406360
cites work: Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
cites work: Meshfree explicit local radial basis function collocation method for diffusion problems
cites work: Radial basis function collocation method for the numerical solution of the two-dimensional transient nonlinear coupled Burgers equations
cites work: Q3173297
cites work: Barycentric Lagrange Interpolation
cites work: Multivariate interpolation with increasingly flat radial basis functions of finite smoothness
cites work: Q4396948
cites work: Linear integral equations
cites work: Efficient quadrature for highly oscillatory integrals involving critical points
DOI: 10.1016/J.CAM.2017.11.021
description: scientific article; zbMATH DE number 6860278