Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component

DOI10.1007/BF02438367zbMath1144.65321MaRDI QIDQ939733

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

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Landau-Lifshitz equationLie-group methodexplicit square conserving schemeRK methodRK-Cayley method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Cites Work

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• High order Runge-Kutta methods on manifolds
• Geometric integrators for classical spin systems
• On the Dimension of Certain Graded Lie Algebras Arising in Geometric Integration of Differential Equations

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