Block Iterative Algorithms for Solving Hermite Bicubic Collocation Equations

In this paper, we present a so-called local elimination technique by which a nonsymmetric system arising in the discretization of the Poisson equation with a Hermite bicubic collocation approximation is reduced to a block tridiagonal and "block symmetric" system. A class of block iterative...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 33; no. 2; pp. 589 - 601
Main Author:	Sun, W.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.04.1996
Subjects:	Algorithms Applied mathematics Boundary conditions Difference equations Eigenvalues Elliptic differential equations Exact sciences and technology Fast Fourier transformations Fourier transforms Iterative methods Linear systems Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Partial differential equations Partial differential equations, boundary value problems Poisson equation Sciences and techniques of general use Tensors Textual collocation Numerical approximation Convergence rate Poisson equation Iterative method Collocation method Algorithm Partial differential equation Discretization method Spline approximation
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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