Accession Number : ADA137776

Title :   Research in Algebraic Manipulation.

Descriptive Note : Interim rept. 1 Jul 82-30 Jun 83,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR COMPUTER SCIENCE

Personal Author(s) : Moses,J

PDF Url : ADA137776

Report Date : 14 Dec 1983

Pagination or Media Count : 11

Abstract : Professor Shunro Watanabe of Japan has been visiting our group since March, 1982. In the past year he has been able, with the support of our group, to develop a major new program for solving in closed from a wide variety of ordinary differential equations. The MACSYMA system uses two large packages for solving ODES. Professor Watanabe's approach is to convert most second order ODEs into instances of the so-called P-function. These functions, originally due to Riemann, have been extensively studied by the Japanese mathematician Fukuhara (also spelled Hukuhara). For the past year, Watanabe has implemented a package that transforms a large class of equations into P-functions. He has used Kamke's table as a test bed. Several examples from Kamke using this package, are given in Appendix I.

Descriptors :   *Algebraic functions, Numerical integration, Algorithms, Computations, Differential equations

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE