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