Monotonicity of quadratic forms with symplectic Runge-Kutta methods

DOI10.1016/0168-9274(95)00034-RzbMath0833.65072OpenAlexW2036181464MaRDI QIDQ1899310

Timo Eirola

Publication date: 9 October 1995

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

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00034-r

zbMATH Keywords

monotonicityHamiltonian systemsymplectic Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical systems and ergodic theory (37-XX)

Cites Work

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• Positive definiteness in the numerical solution of Riccati differential equations
• On quadratic invariants and symplectic structure
• Preserving monotonicity in the numerical solution of Riccati differential equations
• Unitary Integrators and Applications to Continuous Orthonormalization Techniques
• Model Problems in Numerical Stability Theory for Initial Value Problems

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