Numerical Methods for Differential Equations

Abstract

Investigators have been able to develop a computer code which has turned out to be quite competitive with a well established code. The new approach implements a variable order finite difference scheme which does not require derivatives of the given function and which uses no information outside a subinterval to approximate the given system in that subinterval. Three papers have been published as a result of this effort, with the following titles, An adaptive boundary value Runge-Kutta solver for first order boundary value problems, on the solution of sparse non-linear evaluations and some applications and A quasi-Newton method with sparse triple factorization. Four additional papers are in press. Keywords: Computer code; Variable order; and Finite difference scheme.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1985
Accession Number
ADA162722

Entities

People

  • Reginald P. Tewarson

Organizations

  • Stony Brook University

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Classification
  • Computational Science
  • Computer Science
  • Computer Simulations
  • Computers
  • Differential Equations
  • Equations
  • Flow Network
  • Fluid Mechanics
  • Information Science
  • Linear Algebraic Equations
  • Mathematical Models
  • Partial Differential Equations
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Linear Algebra