Stability of Newton TVD Runge-Kutta scheme for one-dimensional Euler equations with adaptive mesh

DOI10.1016/j.amc.2016.02.006zbMath1410.65266OpenAlexW2275559320MaRDI QIDQ671190

Xinpeng Yuan, Cheng Wang, Tian-Bao Ma, Jian-Guo Ning

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.006

zbMATH Keywords

stabilityEuler equationsadaptive meshNewton TVD Runge-Kutta

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Euler equations (35Q31)

Related Items (4)

Global stability of an SIR model with differential infectivity on complex networks ⋮ An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation ⋮ Conservative high precision pseudo arc-length method for strong discontinuity of detonation wave ⋮ Two-step shock waves propagation for isothermal Euler equations

Uses Software

• AMRCLAW

Cites Work

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