Extrapolation with Spline-Collocation Methods for Two-Point Boundary-Value Problems II: C2-Cubics with Detailed Results,

Abstract

The methodology is very briefly described and then numerical results are presented for an implementation of a smooth-cubic-spline-collocation procedure accelerated via iterated deferred corrections to obtain approximate solutions, accurate to a prescribed tolerance, of two-point boundary-value problems for second-order scalar ordinary differential equations. The results are similar to those obtained via a less generally applicable finite-difference-oriented code described elsewhere which competes well with the best codes available. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1977
Accession Number
ADA044736

Entities

People

  • Andrew J. Martin
  • James W. Daniel

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • E Band
  • Equations
  • Errors
  • Interpolation
  • Iterations
  • Linear Systems
  • Mathematics
  • Mesh
  • Plastic Explosives

Fields of Study

  • Mathematics

Readers

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