An Iteration Free Backward Semi-Lagrangian Scheme for Guiding Center Problems

DOI10.1137/130942218zbMath1318.65054OpenAlexW2011407659MaRDI QIDQ5253559

Dokkyun Yi, Sang Dong Kim, Jae-Min Kwon, Xiangfan Piao, Phil Su Kim

Publication date: 27 May 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130942218

zbMATH Keywords

performanceconvergencePoisson equationtemporal discretizationnumerical resulterror correction methodself-consistencyfourth-order central difference schemebackward semi-Lagrangian methodguiding center problem

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Vlasov equations (35Q83) Initial-boundary value problems for first-order hyperbolic equations (35L04)

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Cites Work

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• Error analysis for hp-FEM semi-Lagrangian second order BDF method for convection-dominated diffusion problems
• Convergence on error correction methods for solving initial value problems
• Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
• A conservative high order semi-Lagrangian WENO method for the Vlasov equation
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• Weighted essentially non-oscillatory schemes
• Multidomain WENO finite difference method with interpolation at subdomain interfaces
• A high-order discontinuous Galerkin method for 2D incompressible flows
• New conservative gyrokinetic full-\(f\) Vlasov code and its comparison to gyrokinetic \(\delta f\) particle-in-cell code
• High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids
• An Error Corrected Euler Method for Solving Stiff Problems Based on Chebyshev Collocation
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• Nonoscillatory Interpolation Methods Applied to Vlasov-Based Models
• Hermite Spline Interpolation on Patches for Parallelly Solving the Vlasov-Poisson Equation
• A Practical Guide to Pseudospectral Methods