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Application of Richardson Extrapolation to the Numerical Solution of Partial Differential Equations
by
Taylor Erwin
University of Central Arkansas
Coauthors: Clarence O. E. Burg
Richardson extrapolation is an algebraic technique for increasing the order of accuracy of numerical schemes, both the numerical formula and results generated, by uniformly refining the discretization of the equations and considering the resulting error. This method has been applied to numerical differentiation, numerical integration, and numerical solutions to ordinary differential equations. Herein, Richardson extrapolation is applied to two-dimensional numerical solvers of partial differential equations. Previous work by the author in one dimension is reviewed, and the methodology developed is extended to two dimensional finite volume solvers on unstructured triangular meshes with specific application to the shallow water equations.
Date received: September 18, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caww-35.