Quadrature methods for 2D and 3D problems
From MaRDI portal
Publication:1841973
DOI10.1016/S0377-0427(00)00484-2zbMath0971.65119WikidataQ127797570 ScholiaQ127797570MaRDI QIDQ1841973
Publication date: 18 February 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
stabilityconvergencequadrature methodsintegral equations over smooth manifoldspseudodifferentlal equations
Numerical methods for integral equations (65R20) Boundary value problems for PDEs with pseudodifferential operators (35S15) Fredholm integral equations (45B05)
Related Items (4)
A numerical simulation of neural fields on curved geometries ⋮ Convergence and conditioning of a Nyström method for Stokes flow in exterior three-dimensional domains ⋮ Product integration rules by the constrained mock-Chebyshev least squares operator ⋮ A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a full discretization scheme for a hypersingular boundary integral equation over smooth curves
- On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve
- Discrete collocation for a first kind Cauchy singular integral equation with weakly singular solution
- A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero
- The modified quadrature method for logarithmic-kernel integral equations on closed curves
- An unconventional quadrature method for logarithmic-kernel integral equations on closed curves
- Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf
- A rectangular quadrature method for logarithmically singular integral equations of the first kind
- Spline approximation methods for multidimensional periodic pseudodifferential equations
- Spline collocation for strongly elliptic equations on the torus
- On numerical cubatures of singular surface integrals in boundary element methods
- Numerical evaluation of singular and finite-part integrals on curved surfaces using symbolic manipulation
- Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence
- On quadrature methods for the double layer potential equation over the boundary of a polyhedron
- On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
- Variable order composite quadrature of singular and nearly singular integrals
- Discrete boundary element methods on general meshes in 3D
- Hybrid Galerkin boundary elements: Theory and implementation
- Numerical methods for integral equations of Mellin type
- Integral equations. Theory and numerical treatment
- Fully-discrete collocation methods for an integral equation of the first kind
- On the numerical solution of a hypersingular integral equation in scattering theory
- A quadrature method for the hypersingular integral equation on an interval
- Die Behandlung von Randwertaufgaben im \(R_ 3\) mit Hilfe von Einfach-und Doppelschichtpotentialen
- Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
- An Analysis of Quadrature Errors in Second-Kind Boundary Integral Methods
- On Spline Approximation for a Class of Non‐Compact Integral Equations
- Nyström’s Iterative Variant Methods for the Solution of Cauchy Singular Integral Equations
- Quadrature methods for logarithmic-kernel integral equations on closed curves
- Error estimates for a discretized Galerkin method for a boundary integral equation in two dimensions
- Numerical Quadratures for Layer Potentials over Curved Domains in $\mathbb{R}^3 $
- High order methods for weakly singular integral equations with nonsmooth input functions
- Hybrid Gauss-Trapezoidal Quadrature Rules
- Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves
- Nyström interpolants based on the zeros of Legendre polynomials for a non-compact integral operator equation
- A fully discrete and symmetric boundary element method
- A discrete Galerkin method for a hypersingular boundary integral equation
- Inversion Formulas for the Discretized Hilbert Transform on the Unit Circle
- Numerical Evaluation of Surface Integrals in Three Dimensions
- Nyström’s Method and Iterative Solvers for the Solution of the Double-Layer Potential Equation over Polyhedral Boundaries
- The Numerical Solution of Fredholm integral Equations of the Second Kind
- The Deferred Approach to the Limit for Eigenvalues of Integral Equations
This page was built for publication: Quadrature methods for 2D and 3D problems
