Solution of Linear Initial Value Problems on a Hypercube

Abstract

There are many articles discussing the solution of boundary value problems on various parallel machines. The solution of initial value problems does not lend itself to parallelism, since in this case one uses methods that are sequential in nature. The authors develop a parallel scheme for initial value problems based on the box scheme and a modified recursive doubling technique. Fully implicit Runge Kutta Methods were discussed by Jackson and Norsett (1986) and Lie (1987). Lie assumes that each processor of the parallel computer having vector capabilities.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1988
Accession Number
ADA203786

Entities

People

  • Beny Neta

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Approximation (Mathematics)
  • Boundaries
  • Boundary Value Problems
  • Communication Networks
  • Computations
  • Computers
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Nuclear Engineering
  • Numerical Analysis
  • Runge Kutta Method
  • Schools
  • Systems Science
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Parallel and Distributed Computing.