scientific article; zbMATH DE number 2232738

zbMath1078.65571MaRDI QIDQ5708090

William I. Newman, David J. Goldstein, Philip W. Sharp, Kevin R. Grazier, James M. Hyman

Publication date: 25 November 2005

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

\(N\)-body problemhigh order accuracyself-gravitating systemsNewton's equations of motionBrouwer's lawmultistep integratorsSolar System's evolutionStörmer's multistep method

Mathematics Subject Classification ID

(n)-body problems (70F10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Equations of motion in general relativity and gravitational theory (83C10) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (7)

New integration methods for perturbed ODEs based on symplectic implicit Runge-Kutta schemes with application to solar system simulations ⋮ Regarding the absolute stability of Størmer-Cowell methods ⋮ Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes ⋮ Reducing rounding errors and achieving Brouwer's law with Taylor series method ⋮ On the Arbitrarily Long-Term Stability of Conservative Methods ⋮ Achieving Brouwer's law with implicit Runge-Kutta methods ⋮ Breaking the limits: The Taylor series method

Uses Software

• mctoolbox

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