Accession Number : AD0624829
Title : THE AUTOMATIC CONSTUCTION OF COMPUTATIONAL ALGORITHMS.
Descriptive Note : Technical rept.,
Corporate Author : COMPUTER SCIENCE DIV STANFORD UNIV CALIF
Personal Author(s) : Marchuk,G. I.
Report Date : 30 SEP 1965
Pagination or Media Count : 58
Abstract : Several documents by Professor G. I. Marchuk (Director of the Computer Center at the Siberian Division of the Academy of Sciences of the USSR, at Novosibirsk) are translated dealing with the automatic construction of computational algorithms for finding numerical solutions to a wide variety of problems, including linear equations, integral equations, ordinary differential equations(initialvalue and boundary-value), and partial differential equations (elliptic, parabolic and hyperbolic). Finite-difference equations are constructed systematically by the 'method of splitting', based on the replacement of operators by the sum of simpler operators (e.g. as in alternating-direction methods). (Author)
Descriptors : (*COMPUTER PROGRAMMING, ALGORITHMS), (*ALGORITHMS, SYNTHESIS), AUTOMATIC, NUMERICAL ANALYSIS, INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS, PARTIAL, DIFFERENCE EQUATIONS, OPERATORS(MATHEMATICS)
Subject Categories : Theoretical Mathematics
Computer Programming and Software
Distribution Statement : APPROVED FOR PUBLIC RELEASE