
Accession Number : ADA306919
Title : MultiDimensional Asymptotically Stable 4th Order Accurate Schemes for the Diffusion Equation.
Descriptive Note : Contractor rept.,
Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
Personal Author(s) : Abarbanel, Saul ; Ditkowski, Adi
PDF Url : ADA306919
Report Date : FEB 1996
Pagination or Media Count : 38
Abstract : An algorithm is presented which solves the multidimensional diffusion equation on complex shapes to 4thorder accuracy and is asymptotically stable in time. This boundederror result is achieved by constructing, on a rectangular grid, a differentiation matrix whose symmetric part is negative definite. The differentiation matrix accounts for the Dirichlet boundary condition by imposing penalty like terms. Numerical examples in 2D show that the method is effective even where standard schemes, stable by traditional definitions fail.
Descriptors : *ALGORITHMS, *PARTIAL DIFFERENTIAL EQUATIONS, TIME DEPENDENCE, TWO DIMENSIONAL, MATRICES(MATHEMATICS), GRIDS, ACCURACY, MESH, FINITE DIFFERENCE THEORY, APPROXIMATION(MATHEMATICS), ERROR ANALYSIS, NUMERICAL METHODS AND PROCEDURES, ASYMPTOTIC NORMALITY, EXTRAPOLATION.
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE