A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero

DOI10.1007/BF01218505zbMath0737.47043MaRDI QIDQ1175044

Siegfried Prössdorf, Reinhold Schneider

Publication date: 25 June 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

asymptotic error estimatestability of a modal spline collocation methodstrongly elliptic pseudo-differential operators of order zero

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Integro-partial differential equations (45K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Theoretical approximation of solutions to integral equations (45L05) Pseudodifferential operators (47G30)

Related Items (11)

On quadrature methods for the double layer potential equation over the boundary of a polyhedron ⋮ Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution ⋮ A fast trigonometric collocation method for some elliptic pseudodifferential equations ⋮ Convergence of boundary element collocation methods for dirichlet and neumann screen problems in R³ ⋮ The boundary element spline collocation for nonuniform meshes on the torus ⋮ A wavelet algorithm for the boundary element solution of a geodetic boundary value problem ⋮ Spline collocation for strongly elliptic equations on the torus ⋮ Approximation and commutator properties of projections onto shift-invariant subspaces and applications to boundary integral equations ⋮ A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold ⋮ Quadrature methods for 2D and 3D problems ⋮ Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence

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