High‐order characteristic‐tracking strategy for simulation of a nonlinear advection–diffusion equation

DOI10.1002/num.22374zbMath1425.65099OpenAlexW2931488872WikidataQ115397866 ScholiaQ115397866MaRDI QIDQ5239819

Soyoon Bak

Publication date: 22 October 2019

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

Full work available at URL: https://doi.org/10.1002/num.22374

zbMATH Keywords

Burgers' equationsemi-Lagrangian methodnonlinear advection-diffusion equationcharacteristic-tracking methodhigh-order time-discretization

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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)

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