Numerical Methods for Initial Value Problems.

Abstract

Computational techniques were studied for the estimation of global discretization error in numerical solutions of both smooth and nonsmooth differential equations with an emphasis on the deferred correction technique. Of special interest were hyperbolic problems, for which mixed results were obtained. The implications of a stronger stability concept for Gaussian elimination were explored with respect to scaling, iterative refinement, and equilibration. Interesting equivalence and stability results were obtained for multistep methods for solving ordinary differential equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1980
Accession Number
ADA091502

Entities

People

  • Robert D. Skeel

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Autonomy
  • Cyber
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundary Value Problems
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Computer Science
  • Computer Simulations
  • Computers
  • Difference Equations
  • Differential Equations
  • Equations
  • Estimators
  • Gas Dynamics
  • Numerical Analysis
  • Partial Differential Equations

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra