Spline approximation methods for multidimensional periodic pseudodifferential equations

DOI10.1007/BF01195782zbMath0757.65146MaRDI QIDQ1198113

Siegfried Prössdorf, Reinhold Schneider

Publication date: 16 January 1993

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

zbMATH Keywords

stabilitytoruspseudodifferential equationsCollocation methodsGalerkin-Petrov methodsOptimal error estimatesperiodical spline functions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05) Pseudodifferential operators (47G30)

Related Items (13)

Time discretization of parabolic boundary integral equations ⋮ On quadrature methods for the double layer potential equation over the boundary of a polyhedron ⋮ Stability of spline approximation methods for multidimensional pseudodifferential operators ⋮ Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution ⋮ A fast trigonometric collocation method for some elliptic pseudodifferential equations ⋮ The boundary element spline collocation for nonuniform meshes on the torus ⋮ Quantization of pseudo-differential operators on the torus ⋮ More Than 40 Years of Algebraic Techniques in Numerical Analysis ⋮ On the Toroidal Quantization of Periodic Pseudo-Differential Operators ⋮ 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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