Composition Magnus Integrators

Abstract

The goal is to consider the Magnus series expansion for numerically solving the non-linear ODE. The Magnus expansion and other geometric numerical integrators have been successfully used to solve the various equations separately. Different versions of the ME have proved highly efICIENT IN A NUMBER OF PROBLEMS *Quantum Mechanics *Highly oscillatory problems *Eigenvalue problems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 03, 2005
Accession Number
ADA433753

Entities

People

  • P. C. Moan
  • Sergio Blanes

Organizations

  • University of Valencia

Tags

Communities of Interest

  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Autonomous Systems
  • Control Theory
  • Differential Equations
  • Eigenvalues
  • Equations
  • Gaussian Quadrature
  • Information Operations
  • Integrators
  • Lie Groups
  • Linear Systems
  • Plane Waves
  • Quantum Mechanics
  • Riccati Equation
  • Schrodinger Equation
  • Splitting

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.

Technology Areas

  • Quantum Computing
  • Quantum Science - Quantum Dots