The Numerical Solution of Integral Equations of the Second Kind
From MaRDI portal
Publication:3618855
DOI10.1017/CBO9780511626340zbMath1158.65088OpenAlexW2014208709MaRDI QIDQ3618855
Publication date: 3 April 2009
Full work available at URL: https://doi.org/10.1017/cbo9780511626340
Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05) Boundary element methods for boundary value problems involving PDEs (65N38) Singular integral equations (45Exx)
Related Items
Filtered interpolation for solving Prandtl's integro-differential equations ⋮ Terminal value problems for the nonlinear systems of fractional differential equations ⋮ Legendre spectral projection methods for Hammerstein integral equations with weakly singular kernel ⋮ Pricing exotic derivatives exploiting structure ⋮ Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions ⋮ Nonlinearly bandlimited signals ⋮ Projected Tikhonov regularization method for Fredholm integral equations of the first kind ⋮ Isoparametric singularity extraction technique for 3D potential problems in BEM ⋮ ADM-TF hybrid method for nonlinear Itô-Volterra integral equations ⋮ Numerical treatment of the generalized Love integral equation ⋮ Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline ⋮ Collocation methods for terminal value problems of tempered fractional differential equations ⋮ Analysis of (shifted) piecewise quadratic polynomial collocation for nonlocal diffusion model ⋮ High-order, Dispersionless “Fast-Hybrid” Wave Equation Solver. Part I: O(1) Sampling Cost via Incident-Field Windowing and Recentering ⋮ On the complexity of the inverse Sturm-Liouville problem ⋮ A robust and high precision algorithm for elastic scattering problems from cornered domains ⋮ Transformation of the second order boundary value problem into integral form -- different approaches and a numerical solution ⋮ Error Estimation for Approximate Solutions of Delay Volterra Integral Equations ⋮ Volterra-type convolution of classical polynomials ⋮ Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients ⋮ A numerical method for Fredholm integral equations of the second kind by the IMT-type DE rules ⋮ Isogemetric analysis and symmetric Galerkin BEM: a 2D numerical study ⋮ Granular motor in the non-Brownian limit ⋮ A fast Fourier-Galerkin method solving boundary integral equations for the Helmholtz equation with exponential convergence ⋮ Multilevel augmentation methods for eigen-problems of compact integral operators ⋮ Solving mixed Fredholm-Volterra integral equations by using the operational matrix of RH wavelets ⋮ A spectral collocation method for a weakly singular Volterra integral equation of the second kind ⋮ Free vibration analysis of discrete-continuous functionally graded circular plate via the Neumann series method ⋮ Intermediate value problems for fractional differential equations ⋮ Using of Bernstein spectral Galerkin method for solving of weakly singular Volterra-Fredholm integral equations ⋮ A Highly Scalable Boundary Integral Equation and Walk-On-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data ⋮ Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM ⋮ A version of the projection-iterative method for the solution of Fredholm integral equations of the second kind ⋮ Sinc Projection Solutions of Fredholm Integral Equations ⋮ Smoothed Corners and Scattered Waves ⋮ Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM ⋮ Fast and high-order accuracy numerical methods for time-dependent nonlocal problems in \(\mathbb{R}^2\) ⋮ A collocation IGA-BEM for 3D potential problems on unbounded domains ⋮ Boundary integral equations for the exterior Robin problem in two dimensions ⋮ ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS ⋮ AN EXTENSION OF THE PRODUCT INTEGRATION METHOD TO L1 WITH APPLICATIONS IN ASTROPHYSICS ⋮ Approximate structures of thermoelastic fields induced by a penny-shaped thermal-medium crack in a transversely isotropic layer
