Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates

DOI10.1007/S11425-013-4739-1zbMath1305.65209OpenAlexW2257841267MaRDI QIDQ476538

Mengping Zhang, Jianfang Lu, Chi-Wang Shu

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4739-1

zbMATH Keywords

stabilityerror estimatesdiscontinuous Galerkin methodpositivity-preservingcorrelated random walkexplicit Runge-Kutta method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell biology (92C37)

Related Items (3)

Discontinuous Galerkin Methods for Weakly Coupled Hyperbolic MultiDomain Problems ⋮ A class of bound-preserving high order schemes: The main ideas and recent developments ⋮ High-order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates

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