Optimal superconvergent one step quadratic spline collocation methods

DOI10.1007/S10543-008-0188-6zbMath1155.65089OpenAlexW1979084489MaRDI QIDQ960021

Andreas Karageorghis, Bernard Bialecki, Graeme Fairweather, Que N. Nguyen

Publication date: 16 December 2008

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-008-0188-6

zbMATH Keywords

numerical experimentsfast Fourier transformssuperconvergenceelliptic boundary value problemsmatrix decomposition algorithmsquadratic spline collocationoptimal global convergence rates

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (7)

High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations ⋮ Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions ⋮ Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable ⋮ A numerical method of high accuracy for linear parabolic partial differential equations ⋮ Compact optimal quadratic spline collocation methods for the Helmholtz equation

Uses Software

• FISHPAK
• FFTPACK

Cites Work

• Unnamed Item
• FISHPAK
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• OPTIMAL SUPERCONVERGENT ONE STEP QUADRATIC SPLINE COLLOCATION METHODS FOR HELMHOLTZ PROBLEMS
• Orthogonal spline collocation methods for partial differential equations

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