Superconvergence of piecewise polynomial Galerkin approximations, for Fredholm integral equations of the second kind

DOI10.1007/BF01396014zbMath0427.65091MaRDI QIDQ1136492

Gerard R. Richter

Publication date: 1978

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

Full work available at URL: https://eudml.org/doc/132567

zbMATH Keywords

Fredholm integral equations of the second kindGalerkin approximationssuperconvergence properties

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (10)

Superconvergence analysis of approximate boundary-flux calculations ⋮ Unnamed Item ⋮ Accurate computation of the field in Pippard's nonlocal superconductivity model ⋮ Parallel solution of Fredholm integral equations of the second kind by orthogonal polynomial expansions ⋮ Extrapolation method for Fredholm integral equations with non-smooth kernels ⋮ Accelerated projection methods ⋮ Spectral refinement using a new projection method ⋮ On superconvergence techniques ⋮ A superconvergence result for solutions of compact operator equations ⋮ Multiparameter regularization for Volterra kernel identification via multiscale collocation methods

Cites Work

• Unnamed Item
• Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
• A Bound on the L ∞ -Norm of L 2 -Approximation by Splines in Terms of a Global Mesh Ratio

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