Application of a New Approach to the Computational Solution of A System of Two Non-Linear Partial Differential Equations.
Rand Corp, CA, august 1964; 14 pages, 8.5x11 stapled cardstock wraps, greengray covers.
Condition: Good+ overall, 2 inch spots of discoloration on front cover, pencilled name of engineering corporation on top righthand corner, corporate stamp on titlepage; corner crease. Binding is tight, pages clean & unmarked.
Keywords: FORTRAN IBM 7090, bellman numerical analysis, computation approximations, nonlinear programming
Categories: Mathematics, Programming and Programming Languages, FORTRAN, Technical Journals, Proceedings, Conferences
See all items by Richard Bellman, R. Kalaba, RAND Corporation Memorandum RM-4240-PR august 1964 B. Kotkin
Price: $15.00
Item Description
Application of a New Approach to the Computational Solution of A System of Two Non-Linear Partial Differential Equations; prepared for United States Air Force Project RIncludes FORTRAN listings. 'Methods are applied to a system of two equations, numerical results are provided, including per cent error, and FORTRAN listings are given... The equations are similar to those of hydrodynamics, exhibiting shocks, and have a simple representation for the solution. A numerical method of integration is proposed which preserves boundedness and positivity. Time and memory requirements are small' (from the Preface and Summary)
Includes Introduction, Two Partial Differential Equations, Finite Difference Approximation, Polynomial Approximation, Numerical Procedure for FORTRAN IBM 7090 Program, Numerical Results. Table 1 - Illustrative Numerical Results. N=4, M=4; Table 2 - Illustrative Numerical Results N=5, M=5; Table 3 - Illustrative Numerical Results, N=10, M=10; Table 4 - Illustrative Numerical Result N=10, M=5; FORTRAN List (5 pages); References.