Higher‐order explicit schemes based on the method of characteristics for hyperbolic equations with crossing straight‐line characteristics

DOI10.1002/num.22770OpenAlexW3138103371WikidataQ115397372 ScholiaQ115397372MaRDI QIDQ6085259

T. I. Lakoba, Unnamed Author

Publication date: 12 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22770

zbMATH Keywords

method of characteristicshigher-order methodscoupled-mode equations

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• On pseudo-Runge-Kutta methods of the third kind
• On pseudo-Runge-Kutta methods with 2 and 3 stages
• Study of instability of the Fourier split-step method for the massive Gross-Neveu model
• Fourier analysis and evaluation of DG, FD and compact difference methods for conservation laws
• Optimal resolution methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime
• Stability analysis of the numerical method of characteristics applied to a class of energy-preserving hyperbolic systems. I: Periodic boundary conditions
• Stability analysis of the numerical method of characteristics applied to a class of energy-preserving hyperbolic systems. II: Nonreflecting boundary conditions
• On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system
• A finite element modified method of characteristics for convective heat transport
• Characteristic‐based schemes for dispersive waves I. The method of characteristics for smooth solutions
• Runge-Kutta characteristic methods for first-order linear hyperbolic equations
• Numerically Nonreflecting Boundary and Interface Conditions for Compressible Flow and Aeroacoustic Computations
• Conservative compact finite difference scheme for the N‐coupled nonlinear Klein–Gordon equations
• High‐order characteristic‐tracking strategy for simulation of a nonlinear advection–diffusion equation
• Time‐splitting methods with charge conservation for the nonlinear Dirac equation
• Pseudo-Runge-Kutta Methods Involving Two Points
• Numerical Methods for Ordinary Differential Equations
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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