Continuation and Multi-Grid Methods for Bifurcation Problems

Abstract

In the following we give an overview of the work completed under the grant AFOSR-84-0315 entitled 'Continuation and Multi-grid Methods for Bifurcation Problems' since October 1, 1984. The research under that grant concerns the numerical solution of bifurcation and nonlinear eigenvalue problems for parameter-dependent partial differential equations and systems. The scope of the research is rather wide, stressing the development, study and implementation of computational methods for several classes of difficult nonlinear problems, but, also including the derivation of analytic results in cases where these questions had not been settled before. The work under the grant has resulted in 26 papers in refereed journals or refereed proceedings volumes of major conferences; they are listed at the end of this section. (jg)

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Document Details

Document Type
Technical Report
Publication Date
Jan 03, 1990
Accession Number
ADA218904

Entities

People

  • Hans D. Mittelmann

Organizations

  • Arizona State University

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Simulations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Mathematical Analysis
  • Mathematical Models
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Partial Differential Equations
  • Solid State Electronics

Fields of Study

  • Mathematics

Readers

  • Academic Conference Management
  • Clinical Trial Research.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)