EPS: AN INTERACTIVE SYSTEM FOR SOLVING ELLIPTIC BOUNDARY-VALUE PROBLEMS WITH FACILITIES FOR DATA MANIPULATION AND GENERAL-PURPOSE COMPUTATION. USER'S GUIDE,

Abstract

A user's guide for EPS is presented. EPS solves two-dimensional boundary-value problems for elliptic systems of second-order partial differential equations. It also has general-purpose capabilities which permit the on-line definition and execution of arbitrary numerical procedures. The guide is primarily concerned with using EPS to solve boundary-value problems. Linear problems of this type that have no free surfaces or undefined parameters can be solved on a one-pass basis. Nonlinearities and other complications can be handled by iteration. A finite-difference method is employed which permits the use of irregular lattices, hence the crowding of nodes in sensitive regions. EPS operates on the IBM 7094 computer of the M.I.T. Compatible Time-Sharing System (CTSS), and exploits to an unusual degree the potential for interactive problem solving that CTSS affords. Input commands resemble statements in various algebraic compiler languages, and can be combined and abbreviated by means of macros. Improper input and other error conditions are handled so as to minimize user inconvenience. Common syntax errors, for example, are corrected automatically by the machine. Output is available in either numerical or graphical form. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0692462

Entities

People

  • Coyt C. Tillman Jr

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Compilers
  • Computations
  • Computers
  • Contracts
  • Differential Equations
  • Equations
  • Iterations
  • Language
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Two Dimensional

Readers

  • Computational Linguistics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design