On difference schemes approximating first-order differential equations and defining a projective correspondence between layers

DOI10.1007/s10958-019-04380-0zbMath1434.65310OpenAlexW2954281129WikidataQ127675204 ScholiaQ127675204MaRDI QIDQ2307968

Yanyan Li

Publication date: 25 March 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04380-0

zbMATH Keywords

Riccati equationalgebraic propertiesstandard finite difference schemes

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (1)

On periodic approximate solutions of dynamical systems with quadratic right-hand side

Cites Work

• Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
• Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More
• Birational automorphism groups and differential equations
• First-order ordinary differential equations, symmetries and linear transformations
• Geometric Numerical Integration
• Symbolic integration
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