Extrapolation methods for spline collocation solutions of pseudodifferential equations on curves

DOI10.1007/BF01396612zbMath0686.65085OpenAlexW2001694776MaRDI QIDQ1262732

Jukka Saranen

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133404

zbMATH Keywords

numerical exampleboundary element methodcollocationpseudodifferential equationsconvergence orderssmooth linear functionalsExtrapolation methodsRichardson type extrapolation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Boundary value problems for PDEs with pseudodifferential operators (35S15)

Related Items

An asymptotic series approach to qualocation methods, Extrapolation techniques and the collocation method for a class of boundary integral equations, The numerical solution of Symm's equation on smooth open arcs by spline Galerkin methods, The modified quadrature method for logarithmic-kernel integral equations on closed curves, On using a modified Nyström method to solve the 2-D potential problem

Cites Work

• 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
• The convergence of even degree spline collocation solution for potential problems in smooth domains of the plane
• A quadrature-based approach to improving the collocation method
• A Spline-Trigonometric Galerkin Method and an Exponentially Convergent Boundary Integral Method
• On the Asymptotic Convergence of Collocation Methods With Spline Functions of Even Degree
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations