Numerical methods

Abstract

Chapter 1.|tMATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS --|gChapter 2.|tSOLUTIONS OF EQUATIONS OF ONE VARIABLE --|gChapter 3.|tINTERPOLATION AND POLYNOMIAL APPROXIMATION --|gChapter4.|tNUMERICAL INTEGRATION AND DIFFERENTIATION --|gChapter 5.|tNUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS --|gChapter 6.|tDIRECT METHODS FOR SOLVING LINEAR SYSTEMS --|gChapter 7.|tITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS --|gChapter 8.|tAPPROXIMATION THEORY --|gChapter 9.|tAPPROXIMATING EIGENVALUES --|gChapter 10.|tSOLUTIONS OF SYSTEMS OF NONLINEAR EQUATIONS --|gChapter 11.|tBOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS --|gChapter 12.|tNUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS.