Efficient exponential time integration for simulating nonlinear coupled oscillators

DOI10.1016/j.cam.2021.113429zbMath1471.65082OpenAlexW3125331087WikidataQ115581008 ScholiaQ115581008MaRDI QIDQ2656090

Vu Thai Luan, Dominik L. Michels

Publication date: 10 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113429

zbMATH Keywords

visual computingaccurate and efficient simulationexponential Rosenbrock integratorssystems of coupled oscillators

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (8)

Multirate Exponential Rosenbrock Methods ⋮ When and how to split? A comparison of two IMEX splitting techniques for solving advection-diffusion-reaction equations ⋮ Full discretization error analysis of exponential integrators for semilinear wave equations ⋮ The existence and global stability of periodic solutions to coupled oscillators ⋮ Efficient exponential methods for genetic regulatory systems ⋮ Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems ⋮ Efficient exponential Runge-Kutta methods of high order: construction and implementation ⋮ Exponentially fitted two-derivative DIRK methods for oscillatory differential equations

Uses Software

• RODAS
• Algorithm 919
• phipm
• mftoolbox

Cites Work

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