Nonlinear Problems and Numerical Methods in Differential Equations and Applied Phenomena

Abstract

Summaries of Work: Continuation - Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems; Some bifurcation diagrams for Taylor vortex flows; A Direct Method for Computing Higher Order Folds; Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders; The Numerical Calculation of Traveling Wave Solutions of Nonlinear Parabolic Equations; A Multigrid Continuation Method for Elliptic Problems with Folds; Multiple Laminar Flows Through Curved Pipes; Asymptotic Boundary Conditions and Numerical Methods for Nonlinear Elliptic Problems on Unbounded Domains; Computation of Anomalous Modes in the Taylor Experiment; Equilibrium Chaos and Related Parameter Sequences; Computations of Taylor Vortex Flows Using Multigrid Continuation Methods; Complex Bifurcation From Real Paths; Diffusive Fronts of Penetrants in Glassy Polymers; Chemical Reactor Theory and Problems in Diffusion; Sorption of a Finite Amount of Swelling Solvent in a Glassy Polymer; Asymptotic Methods of Semi-Conductor Modeling; Free Boundary Problems in Controlled Release Pharmaceuticals Diffusion in Glassy Polymers; Free Boundary Problems in Controlled Release Pharmaceuticals Swelling Controlled Release; and A Mathematical Model for Stress - Driven Diffusion in Polymers.

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Document Details

Document Type
Technical Report
Publication Date
Dec 14, 1988
Accession Number
ADA204772

Entities

People

  • D. S. Cohen
  • H. B. Keller

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Classification
  • Computational Science
  • Computations
  • Differential Equations
  • Diffusion
  • Equations
  • Flow
  • Mathematics
  • Military Research
  • Models
  • Navier Stokes Equations
  • Partial Differential Equations
  • Security

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Polymer Science and Technology
  • Wave Propagation and Nonlinear Chaotic Dynamics.