Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations

DOI10.1007/s11075-017-0367-0zbMath1433.65131arXiv1703.07697OpenAlexW2598597166MaRDI QIDQ1751058

Joseba Makazaga, Mikel Antoñana, Ander Murua

Publication date: 23 May 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07697

zbMATH Keywords

efficient implementationsymplectic implicit Runge-Kutta methodssimplified Newton method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (3)

Tuning Symplectic Integrators is Easy and Worthwhile ⋮ New integration methods for perturbed ODEs based on symplectic implicit Runge-Kutta schemes with application to solar system simulations ⋮ Coupled orbit-attitude dynamics of tethered-SPS

Uses Software

• mctoolbox
• ITER-REF

Cites Work

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• Accuracy and Stability of Numerical Algorithms
• Geometric Numerical Integration
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations

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