A Road Map of Methods for Approximating Solutions of Two-Point Boundary-Value Problems,

Abstract

Numerical methods for approximating solutions of two-point boundary-value problems for ordinary differential equations are surveyed. Specific complete algorithms are classified according to how the original problem is transformed, how the transformed problem is modeled discretely, and how the discrete model is solved. Relationships among various complete algorithms are presented. Convergence acceleration, error estimation and control, and parameter selection are also discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA049971

Entities

People

  • James W. Daniel

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Cyber
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Aerial Photographs
  • Algorithms
  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Difference Equations
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Linear Algebraic Equations
  • Linear Differential Equations
  • Linear Systems
  • Nonlinear Algebraic Equations
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis