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

Abstract

The authors have studied a novel numerical solution approach to Monge Ampere type equations. The equations have important applications. In particular, the leading term in the balance equation in dynamic meteorology has the form (1) . In a more complicated form, an equation of this type appears in the von Karman system of equations for elasticity and also in inverse problems of geometric optics. It also turned out that recent progress in the study of fully nonlinear equations became possible after important properties of the equation (1) were discovered.

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Document Details

Document Type
Technical Report
Publication Date
Jan 15, 1987
Accession Number
ADA232784

Entities

People

  • P. Waltman
  • V. I. Oliker

Organizations

  • Emory University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Computations
  • Computer Graphics
  • Computers
  • Curvature
  • Differential Equations
  • Equations
  • Equations Of State
  • Geometry
  • Graphics
  • Inverse Problems
  • Meteorology
  • Partial Differential Equations
  • Physical Properties
  • Reflectors
  • Weather Forecasting

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.