THE AUTOMATIC CONSTUCTION OF COMPUTATIONAL ALGORITHMS.

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)

Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1965
Accession Number
AD0624829

Entities

People

  • G. I. Marchuk

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Automatic
  • Boundaries
  • Computers
  • Construction
  • Difference Equations
  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Political Science/ International Relations/ European Studies