On the Dimension of Certain Graded Lie Algebras Arising in Geometric Integration of Differential Equations

DOI10.1112/S1461157000000206zbMath1040.34011OpenAlexW2142275985WikidataQ115255817 ScholiaQ115255817MaRDI QIDQ4504962

Antonella Zanna, Arieh Iserles

Publication date: 25 September 2000

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

Full work available at URL: http://www.lms.ac.uk/jcm/3/lms1999-011/

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Geometric methods in ordinary differential equations (34A26) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Graded Lie (super)algebras (17B70) Lie algebras of Lie groups (22E60) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (1)

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

Cites Work

• Unnamed Item
• The Cayley transform in the numerical solution of unitary differential systems
• Numerical integration of ordinary differential equations on manifolds
• Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups
• Runge-Kutta methods on Lie groups
• Geometric integration: numerical solution of differential equations on manifolds
• Computations in a free Lie algebra
• On the solution of linear differential equations in Lie groups
• Geometric integration using discrete gradients
• Unitary Integrators and Applications to Continuous Orthonormalization Techniques
• On the exponential solution of differential equations for a linear operator

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