Numerical Solution of Partial Differential Equations.

Abstract

Several problems relevant in the application of mechanics to real-world problems were treated. The work included theoretical analysis of solutions of partial differential equations, detailed studies of numerical techniques for approximately solving differential equations arising in mechanics, as well as actual numerical computations using such numerical schemes to model experimental phenomena. Application areas impacted by this research include heat conduction and fluid mechanics. Also closely related are problems arising in the study of controlled fusion. In addition, the work has added significantly to theoretical understanding of numerical methods for solving various partial differential equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1980
Accession Number
ADA091360

Entities

People

  • L. Ridgway Scott

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Fluid Dynamics
  • Fluid Mechanics
  • Formulas (Mathematics)
  • Mathematics
  • Mechanics
  • Michigan
  • Partial Differential Equations
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Fluid Dynamics (CFD)