Embedded Runge-Kutta scheme for step-size control in the interaction picture method

DOI10.1016/j.cpc.2012.12.020zbMath1300.65068OpenAlexW2157076039MaRDI QIDQ743356

Fabrice Mahé, Stéphane Balac

Publication date: 24 September 2014

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2012.12.020

zbMATH Keywords

numerical exampleserror estimatesemidiscretizationGross-Pitaevskii equationsplit-step methodembedded Runge-Kutta methodinteraction picture methodstep-size controlgeneralised nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Error bounds for numerical methods for ordinary differential equations (65L70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations ⋮ Comparison of high-order Eulerian methods for electron hybrid model ⋮ SPIP: a computer program implementing the interaction picture method for simulation of light-wave propagation in optical fibre ⋮ Numerical modeling of exciton-polariton Bose-Einstein condensate in a microcavity ⋮ Convergence of exponential Lawson-multistep methods for the MCTDHF equations ⋮ The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics

Cites Work

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