Fast Fourier transform solvers and preconditioners for quadratic spline collocation

DOI10.1023/A:1021944218806zbMath1016.65092OpenAlexW1545311513MaRDI QIDQ1860945

Kit Sun Ng, Christina C. Christara

Publication date: 28 July 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021944218806

zbMATH Keywords

fast Fourier transformparallel computationeigenvalue problemselliptic boundary value problemsspline collocationiterative solversystems of elliptic PDEsscale Laplace preconditioner

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) Estimates of eigenvalues in context of PDEs (35P15) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for discrete and fast Fourier transforms (65T50) Parallel numerical computation (65Y05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (8)

Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics ⋮ Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ Optimal superconvergent one step quadratic spline collocation methods ⋮ A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation ⋮ Compact optimal quadratic spline collocation methods for the Helmholtz equation ⋮ Matrix decomposition algorithms for the \(C^{0}\)-quadratic finite element Galerkin method ⋮ An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem

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