Solving Differential Equations on a Hand Held Programmable Calculator.

Abstract

Most scientists who occasionally have to solve numerically a differential equation now own a hand held programmable calculator which will very often be adequate. Since hand held calculators are slow, there is particular need to keep the number of function evaluations to a minimum. At first thought, this would seem to rule out use of Runge-Kutta methods, but recent developments may make them competitive after all. In the area of predictor-corrector methods, some variations make excessive use of memory locations for a hand held calculator. An analysis of such matters is made in order to advise as to good procedures to follow, including alerting the solver to methods that are seldom taught in numerical analysis courses (where the emphasis is on the use of large fast computers).

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA060661

Entities

People

  • J. Barkley Rosser

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computers
  • Difference Equations
  • Differential Equations
  • Equations
  • Mathematics
  • North Carolina
  • Numerical Analysis
  • Numerical Integration
  • Runge Kutta Method
  • Scientists
  • Test And Evaluation
  • United States

Fields of Study

  • Physics

Readers

  • Computer Science.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.