Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The Numerical Solution of First-Kind Logarithmic-Kernel Integral Equations on Smooth Open Arcs - MaRDI portal

The Numerical Solution of First-Kind Logarithmic-Kernel Integral Equations on Smooth Open Arcs

From MaRDI portal
Publication:3198856

DOI10.2307/2008533zbMath0713.65097OpenAlexW4255409430MaRDI QIDQ3198856

Ian H. Sloan, Kendall E. Atkinson

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2008533




Related Items

A modified discrete spectral collocation method for first kind integral equations with logarithmic kernelOn the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equationFast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcsA fast Fourier-Galerkin method for solving integral equations of second kind with weakly singular kernelsCollocation with trigonometric polynomials for integral equations to the mixed boundary value problemA quadrature method for the Cauchy singular integral equationsA modified boundary integral method on open arcs in the planeAirfoil polynomials for solving integro-differential equations with logarithmic kernelSplitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy's equation on polygons by mechanical quadrature methodsMultiple-scattering frequency-time hybrid solver for the wave equation in interior domainsA fast solver for the narrow capture and narrow escape problems in the sphereMethod of Green's potentials for elliptic PDEs in domains with random aperturesSplitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methodsAdvanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace's equation with discontinuity solutionsA Discrete Collocation Method for a Hypersingular Integral Equation on Curves with CornersDouble layer potential scheme for Dirichlet problems on smooth open arcsThe numerical solution of Symm's equation on smooth open arcs by spline Galerkin methodsMechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equationA fast Fourier-collocation method for second boundary integral equationsA fast numerical solution for the first kind boundary integral equation for the Helmholtz equationHigh-accuracy quadrature methods for solving boundary integral equations of axisymmetric elasticity problemsVariational forms for the inverses of integral logarithmic operators over an intervalFast collocation solvers for integral equations on open arcsA Note on Transforming a Plane Strain First-Kind Fredholm Integral Equation into an Equivalent Second-Kind EquationMechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcsNew preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical resultsA fully-discrete trigonometric collocation methodThe economized monic Chebyshev polynomials for solving weakly singular Fredholm integral equations of the first kindA fast solver for a hypersingular boundary integral equationHigh-order Galerkin method for Helmholtz and Laplace problems on multiple open arcsA discrete collocation method for Symm's integral equation on curves with cornersQuadratures for boundary integral equations of the first kind with logarithmic kernels