New Methods for Numerical Solution of One Class of Strongly Nonlinear Partial Differential Equations with Applications.

Abstract

The physical phenomena described by nonlinear partial differential equations have become at present the central theme of investigation by many researchers. A good understanding of most physical processes requires accounting for nonlinear effects and, consequently, methods for studying nonlinear equations have to be developed. Among nonlinear equations the Dirichlet problem for the Monge-Ampere equation is the model case for fully nonlinear equations.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1987
Accession Number
ADA189945

Entities

People

  • P. Waltman
  • V. I. Oliker

Organizations

  • Emory University

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Accounting
  • Cartesian Coordinates
  • Differential Equations
  • Equations
  • Far Field
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Physics
  • Real Variables
  • Reflectors
  • Security
  • Universities
  • West Germany

Fields of Study

  • Mathematics

Readers

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