A generalized \(W\)-transformation for constructing symplectic partitioned Runge-Kutta methods

DOI10.1023/A:1023676219630zbMath1024.65123OpenAlexW161084129MaRDI QIDQ1397980

Rudolf Scherer, Volker Grimm

Publication date: 6 August 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023676219630

zbMATH Keywords

Hamiltonian systemssymplectic integrationpartitioned Runge-Kutta methods\(W\)-transformationpartitioned systems

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (3)

Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order ⋮ Invariantization of numerical schemes using moving frames ⋮ Invariantization of the Crank-Nicolson method for Burgers' equation

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