One-step \(L(\alpha)\)-stable temporal integration for the backward semi-Lagrangian scheme and its application in guiding center problems

DOI10.1016/j.jcp.2018.04.019zbMath1406.65098OpenAlexW2797081810MaRDI QIDQ1721861

Dojin Kim, Xiangfan Piao, Phil Su Kim

Publication date: 13 February 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.04.019

zbMATH Keywords

stabilitycollocation methodinitial value problembackward semi-Lagrangian methodguiding center problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (7)

An efficient trajectory tracking algorithm for the backward semi-Lagrangian method of solving the guiding center problems ⋮ An iteration-free semi-Lagrangian meshless method for Burgers' equations ⋮ Global high-order numerical schemes for the time evolution of the general relativistic radiation magneto-hydrodynamics equations ⋮ Composition Schemes for the Guiding-Center Model ⋮ Development of a parallel CUDA algorithm for solving 3D guiding center problems ⋮ A completely explicit scheme of Cauchy problem in BSLM for solving the Navier-Stokes equations ⋮ Convergence and stability of a BSLM for advection-diffusion models with Dirichlet boundary conditions

Uses Software

• RODAS

Cites Work

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