Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws

DOI10.1016/j.jcp.2013.02.030zbMath1349.65544OpenAlexW2041760372MaRDI QIDQ347735

Danilo Costarelli, Matteo Laurenzi, Renato Spigler

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.02.030

zbMATH Keywords

systems of conservation lawsAsymptotic High-Order (AHO) methodsasymptotic-numerical methodssystems of dissipative balance laws

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (2)

Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation ⋮ An efficient asymptotic-numerical method to solve nonlinear systems of one-dimensional balance laws

Cites Work

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• The Large-Time Behavior of the Scalar, Genuinely Nonlinear Lax-Friedrichs Scheme
• Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws
• Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
• The Formation and Decay of Shock Waves

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