An explicit one-step multischeme sixth order method for systems of special structure

DOI10.1016/j.amc.2018.11.053zbMath1429.65151OpenAlexW2902955909MaRDI QIDQ2008570

Alexey S. Eremin, Nikolai A. Kovrizhnykh, Igor V. Olemskoy

Publication date: 26 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.11.053

zbMATH Keywords

order conditionsexplicit Runge-Kuttapartitioned methodsmultischeme methodsstructural partitioning

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

An Embedded Explicit Method for Partitioned Systems of Ordinary Differential Equations

Cites Work

• Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems
• Multirate generalized additive Runge Kutta methods
• A family of embedded Runge-Kutta formulae
• Spatially Partitioned Embedded Runge--Kutta Methods
• High Order Multisymplectic Runge--Kutta Methods
• A Generalized-Structure Approach to Additive Runge--Kutta Methods
• Derivation of Efficient, Continuous, Explicit Runge–Kutta Methods
• A Partially Implicit Method for Large Stiff Systems of ODE<scp>s</scp> with Only Few Equations Introducing Small Time-Constants
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