Accession Number : ADA105898


Title :   Block Iterative Methods for Elliptic and Parabolic Difference Equations.


Descriptive Note : Technical rept.,


Corporate Author : WISCONSIN UNIV-MADISON DEPT OF COMPUTER SCIENCES


Personal Author(s) : Parter, Seymour V ; Steuerwalt, Michael


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a105898.pdf


Report Date : Sep 1981


Pagination or Media Count : 45


Abstract : Direct iterative methods for solving the linear system AX = Y split A into a difference M-N. By viewing N as a weak multiplication operator, the convergence rates of block direct iterative methods for elliptic and parabolic difference equations may be determined. The difference equations may arise from very general partial differential equations on general domains in m space dimensions.


Descriptors :   *FINITE DIFFERENCE THEORY , *DIFFERENTIAL EQUATIONS , LINEAR SYSTEMS , MATRICES(MATHEMATICS) , PARABOLAS , PARTIAL DIFFERENTIAL EQUATIONS , CONVERGENCE , ITERATIONS , SEQUENCES(MATHEMATICS) , ELLIPSES , THEOREMS , DOMAIN WALLS , HYPERGEOMETRIC FUNCTIONS


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE