Continuation and Multi-Grid for Bifurcation Problems

Abstract

In the following we give an overview of the work completed under grant AFOSR-90-0080 since December 1989. The research concerned 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 of difficult nonlinear problems, but, also including the derivation of analytic results in cases where these questions had not been settled before. This grant was a continuation and extension of grant and extension of grant AFOSR-84-315. The earlier grant has resulted in 26 papers over a 5-year period. The present grant resulted in the publication of 18 papers in refereed journals or refereed high-quality proceedings volumes and of one book. Several of the 26 papers generated under the earlier grant were listed as to appear in the final report for that grant. They all have appeared but are not listed here again. Instead, for simplicity, we refer to the papers and books produced under the present grant by giving the corresponding number in list all our publications which is a part of the attached curriculum vitae. Of all our publication which is a part of the attached curriculum vitae.

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1993
Accession Number
ADA274965

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
  • Classification
  • Computational Fluid Dynamics
  • Computational Science
  • Continuum Mechanics
  • Curriculum
  • Differential Equations
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Fluid Mechanics
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Linear Algebra
  • Technical Research and Report Writing.