An asymptotic series approach to qualocation methods

DOI10.1216/jiea/1181074958zbMath1044.65088OpenAlexW1971565852MaRDI QIDQ1425606

Víctor Domínguez, Francisco-Javier Sayas

Publication date: 17 March 2004

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181074958

zbMATH Keywords

periodic pseudodifferential equationsnumerical examplesboundary integral equationsRichardson extrapolationFourier techniquesqualocation methods

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary value problems for PDEs with pseudodifferential operators (35S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs. ⋮ Dirac delta methods for Helmholtz transmission problems ⋮ Boundary element simulation of thermal waves ⋮ Boundary element simulation of thermal waves ⋮ Boundary integral approximation of a heat-diffusion problem in time-harmonic regime

Cites Work

• Spline qualocation methods for boundary integral equations
• A quadrature-based approach to improving the collocation method for splines of even degree
• The convergence of spline collocation for strongly elliptic equations on curves
• A quadrature-based approach to improving the collocation method
• Qualocation methods for elliptic boundary integral equations
• A Galerkin collocation method for some integral equations of the first kind
• Properties of certain trigonometric series arising in numerical analysis
• Extrapolation methods for spline collocation solutions of pseudodifferential equations on curves
• Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement
• Linear integral equations.
• Asymptotic expansions of the error of spline Galerkin boundary element methods
• Stability of qualocation methods for elliptic boundary integral equations
• Spline qualocation methods for variable-coefficient elliptic equations on curves
• On integral equations of the first kind with logarithmic kernels
• Qualocation
• Full collocation methods for some boundary integral equations
• Extrapolation techniques and the collocation method for a class of boundary integral equations
• Quadrature rules for qualocation
• On the Asymptotic Convergence of Collocation Methods
• A Spline-Trigonometric Galerkin Method and an Exponentially Convergent Boundary Integral Method
• On ε-Collocation for Pseudodifferential Equations on a Closed Curve
• Full asymptotics of spline Petrov-Galerkin methods for some periodic pseudodifferential equations
• The tolerant qualocation method for variable-coefficient elliptic equations on curves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An asymptotic series approach to qualocation methods