A fast algorithm for solving the tensor product collocation equations
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Publication:1118369
DOI10.1016/0016-0032(89)90076-8zbMath0668.65088OpenAlexW2051708190MaRDI QIDQ1118369
Publication date: 1989
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0016-0032(89)90076-8
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items (7)
Orthogonal collocation solution of biharmonic equations ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ Cyclic reduction algorithm for solving collocation systems ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ Matrix decomposition algorithms for the \(C^{0}\)-quadratic finite element Galerkin method
Cites Work
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- A finite element based collocation method for eigenvalue calculations
- Tensor Product Generalized ADI Methods for Separable Elliptic Problems
- The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics
- The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
- Orthogonal Collocation for Elliptic Partial Differential Equations
- A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
- The Direct Solution of the Discrete Poisson Equation on a Rectangle
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