RKMK method of solving non-damping LL equations and ferromagnet chain equations

DOI10.1016/j.amc.2003.08.042zbMath1058.65099OpenAlexW2000363371MaRDI QIDQ1881701

Zhong-Qi Ma, Jian-Qiang Sun, Meng-Zhao Qin

Publication date: 14 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.042

zbMATH Keywords

algorithmnumerical examplesRunge-Kutta methodFerromagnet chain equationsnon-damping Landau-Lifshitz equationsRKMK methodsSquare-conservation schemes

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

The numerical convergence of the Landau-Lifshitz equations and its simulation

Cites Work

• Unnamed Item
• Unnamed Item
• High order Runge-Kutta methods on manifolds
• Numerical integration of ordinary differential equations on manifolds
• Runge-Kutta methods on Lie groups
• Dynamics of the classical Heisenberg spin chain
• Geometric integration: numerical solution of differential equations on manifolds
• Collocation and Relaxed Collocation for the Fer and the Magnus Expansions
• Simulation of ordinary differential equations on manifolds: some numerical experiments and verifications
• Numerical Methods on (and off) Manifolds
• Square-Conservative Schemes for a Class of Evolution Equations Using Lie-Group Methods
• Runge-Kutta methods for orthogonal and isospectral flows

This page was built for publication: RKMK method of solving non-damping LL equations and ferromagnet chain equations