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

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1987
Accession Number
ADA182807

Entities

People

  • D. V. Chudnovsky
  • G. V. Chudnovsky

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algebraic Functions
  • Algorithms
  • Applied Mathematics
  • Arithmetic
  • Classification
  • Computations
  • Computers
  • Differential Equations
  • Equations
  • Functions (Mathematics)
  • Mathematics
  • New York
  • Number Theory
  • Numbers
  • Sequences
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.
  • Research Science/Academic Research