Numerical methods for Hermitian unitary differential systems

DOI10.1016/S0377-0427(99)00137-5zbMath0941.65065MaRDI QIDQ1964108

Luciano Lopez, Nicoletta Del Buono

Publication date: 20 July 2000

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

zbMATH Keywords

numerical examplesCayley methodsprojected methodsisospectral methods\(s\)-stage Gauss-Legendre-Runge-Kutta schemesHermitian numerical integratorunitary differential systemunitary-preserving methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

Cites Work

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• The Cayley transform in the numerical solution of unitary differential systems
• Numerical procedures based on Runge-Kutta methods for solving isospectral flows
• Unitary Integrators and Applications to Continuous Orthonormalization Techniques
• Numerical solution of isospectral flows
• Discrete gradient methods for solving ODEs numerically while preserving a first integral
• Runge-Kutta methods for orthogonal and isospectral flows
• Runge-Kutta type methods for orthogonal integration

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