О точности одного семейства адаптивных симплектических консервативных численных методов решения задачи Кеплера

DOI10.20948/mm-2021-02-04zbMath1459.65233OpenAlexW3126239871MaRDI QIDQ5152082

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Publication date: 18 February 2021

Published in: Математическое моделирование (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mm4261

zbMATH Keywords

adaptive methodsHamiltonian systemKepler problemsymplectic integratorsorder of accuracysolution parametrization

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Cites Work

• Unnamed Item
• An orbit-preserving discretization of the classical Kepler problem
• A one-parameter family of difference schemes for the numerical solution of the Keplerian problem
• Discrete mechanics - a general treatment
• Momentum conserving symplectic integrators
• A new discretization of the Kepler motion which conserves the Runge-Lenz vector
• Adaptive symplectic conservative numerical methods for the Kepler problem
• Discrete mechanics and variational integrators
• Conservative discretizations of the Kepler motion
• Geometric integration using discrete gradients
• Symplectic-energy-momentum preserving variational integrators
• Geometric Numerical Integration

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