Applications of Lie Group Integrators and Exponential Schemes

Abstract

OUTLINE: Part I (Introductory) (a) Linear IVPs, Eigenvalue problems, linear PDEs; (b) Manifolds ("stay on manifold" principle); (c) Classical problems ("curved path" principle). Part II (Recent results on exponential integrators) (a) A unified approach to exponential integrators; (b) Order theory; (c) Bounds for dimensions of involved function spaces.

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Document Details

Document Type
Technical Report
Publication Date
Jan 03, 2005
Accession Number
ADA433731

Entities

People

  • Brynjulf Owren

Organizations

  • Norwegian University of Science and Technology

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Computational Fluid Dynamics
  • Computational Science
  • Control Theory
  • Data Analysis
  • Eigenvalues
  • Equations
  • Information Operations
  • Integrators
  • Lie Groups
  • Mathematics
  • Neural Networks
  • Standards
  • Variational Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space