Geometric space-time integration of ferromagnetic materials.

DOI10.1016/j.apnum.2003.11.003zbMath1037.82046OpenAlexW2053211686MaRDI QIDQ1426326

Jason Frank

Publication date: 14 March 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.11.003

zbMATH Keywords

Landau-Lifshitz equationGeometric integrationFerromagnetic materialsMultisymplectic structure

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Statistical mechanics of magnetic materials (82D40)

Related Items (7)

Spin-polarized currents in ferromagnetic multilayers ⋮ Symplectic and multisymplectic numerical methods for Maxwell's equations ⋮ A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions ⋮ Observation-based correction of dynamical models using thermostats ⋮ On the multisymplecticity of partitioned Runge–Kutta and splitting methods ⋮ An introduction to Lie group integrators - basics, new developments and applications ⋮ Error analysis of discrete conservation laws for Hamiltonian PDEs under the central box discretizations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Geometric integrators for classical spin systems
• Asynchronous variational integrators
• The Landau-Lifshitz equation by semidirect product reduction
• Geometric integration on spheres and some interesting applications
• Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
• Numerical Methods for the Landau--Lifshitz Equation
• Splitting methods
• Error Estimates for a Numerical Scheme for Ferromagnetic Problems
• Semitopological solitons in planar ferromagnets
• A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities
• Multi-symplectic structures and wave propagation
• Explicit Lie-Poisson integration and the Euler equations
• The spectral theory of a functional-difference operator in conformal field theory
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
• Variational methods, multisymplectic geometry and continuum mechanics
• Accurate discretization of a nonlinear micromagnetic problem

This page was built for publication: Geometric space-time integration of ferromagnetic materials.