Speaker
Dr. Seongjai Kim, Professor, Department of Mathematics & Statistics, Mississippi State University
Title
Mathematics Seminar Series
Subtitle
Three-Step Richardson Extrapolation for Higher-Order Accuracy Numerical Solutions of Partial Differential Equations
Physical Location
Allen 411
Digital Location
https://msstate.webex.com/msstate/j.php?MTID=m6832da7e80e0fb287dc585f2af2db3a5
Abstract: Richardson extrapolation is a numerical analysis technique used to improve the rate of convergence of the error in the solution by solving the problem with two or more different grid sizes. When applied for numerical solutions of partial differential equations,Richardson extrapolation produces a higher-order solution on the coarse grid by combining two solutions on the fine grid and the coarse grid. This article introduces a simple three-step algorithm to complete the higher-order solution on the fine grid. It has been verified from various numerical experiments that the proposed algorithm is superior to other completing methods.
(This is a joint work with Minjae Cho, who is an undergraduate student at MSU).