Spline qualocation methods for variable-coefficient elliptic equations on curves

DOI10.1007/s002110050461zbMath0939.65142OpenAlexW2087150419MaRDI QIDQ1805851

Wolfgang L. Wendland, Ian H. Sloan

Publication date: 1 December 1999

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

Full work available at URL: https://doi.org/10.1007/s002110050461

zbMATH Keywords

stabilityconvergencenumerical examplesvariable-coefficient elliptic equationspseudodifferential equationsspline qualocation methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (12)

Ian Sloan’s Legacy in Integral Equation Methods ⋮ An asymptotic series approach to qualocation methods ⋮ Stability of qualocation methods for elliptic boundary integral equations ⋮ Spline approximation of a non-linear Riemann–Hilbert problem† ⋮ Qualocation for boundary integral equations using splines with multiple knots ⋮ Dirac delta methods for Helmholtz transmission problems ⋮ Superapproximation and commutator properties of discrete orthogonal projections for continuous splines ⋮ The tolerant qualocation method for variable-coefficient elliptic equations on curves ⋮ Commutator properties for periodic splines ⋮ Qualocation ⋮ Discrete orthogonal projections on multiple knot periodic splines ⋮ The use of discrete orthogonal projections in boundary element methods

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