High-order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates

DOI10.1142/S0218202515500414zbMath1318.65051MaRDI QIDQ5254039

Mengping Zhang, Chi-Wang Shu, Yan Jiang

Publication date: 8 June 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesshock waveshigh-order accuracypositivity-preservingweighted essentially non-oscillatory schemetotal variation diminishing Runge-Kutta methodcorrelated random walksteep gradient

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Shocks and singularities for hyperbolic equations (35L67) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Essentially non-oscillatory and weighted essentially non-oscillatory schemes ⋮ High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

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