Accession Number : ADA182807

Title :   Differential Equations, Related Problems of Pade Approximations and Computer Applications.

Descriptive Note : Final rept.,

Corporate Author : COLUMBIA UNIV NEW YORK

Personal Author(s) : Chudnovsky,D V ; Chudnovsky,G V

PDF Url : ADA182807

Report Date : 01 Jun 1987

Pagination or Media Count : 3

Abstract : The principal investigators studied properties (analytical, arithmetic and algorithmic) of linear ordinary differential equations. These properties are useful for the development of efficient numerical schemes (symbolic) to produce power series solutions, determine their radus of covergence and provide the possibility of analytic contimation of such expressions. Moreover, the flexibility to handle branch cuts (logrithmic or algebraic) must also be incorporated. The PI's produced seven papers and a monograph as well as organized an international conference Computers and Mathematics, August 86, Stanford University during their grant support. They do exceptional work.

Descriptors :   *LINEAR DIFFERENTIAL EQUATIONS, COMPUTER APPLICATIONS, EFFICIENCY, NUMERICAL ANALYSIS, POWER SERIES, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE