Multistep methods on manifolds

DOI10.1093/imanum/21.1.407zbMath0974.65077OpenAlexW2123340055MaRDI QIDQ2713135

Arieh Iserles

Publication date: 29 November 2001

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/21.1.407

zbMATH Keywords

error analysisTaylor methodRunge-Kutta schemedifferential algebraic equationmultistep methodBateman equationdifferential equation on manifoldpreservation of invariants

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

Multistep methods integrating ordinary differential equations on manifolds ⋮ Time symmetry and high-order Magnus methods ⋮ Preserving algebraic invariants with Runge-Kutta methods