Convergence analysis of an explicit splitting method for laser plasma interaction simulations

DOI10.1553/etna_vol48s243zbMath1398.65335arXiv1702.04971OpenAlexW2963981041WikidataQ129616509 ScholiaQ129616509MaRDI QIDQ1670235

Achim Schädle, Georg Jansing

Publication date: 5 September 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.04971

zbMATH Keywords

splitting methodsexponential integratorshighly oscillatory problemstrigonometric integrators

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Uses Software

• H-VLPL

Cites Work

• H-VLPL: a three-dimensional relativistic PIC/fluid hybrid code
• One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab)
• A study of extrapolation methods based on multistep schemes without parasitic solutions
• A Gautschi-type method for oscillatory second-order differential equations
• Self-adjoint curl operators
• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
• Finite elements in computational electromagnetism
• Long-Time-Step Methods for Oscillatory Differential Equations
• Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations
• Error analysis of exponential integrators for oscillatory second-order differential equations
• Geometric Numerical Integration

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