Analysis of nonlinear resonance in conservation laws with point sources and well-balanced scheme

DOI10.1016/S0362-546X(99)00166-2zbMath0967.35092OpenAlexW2024960926MaRDI QIDQ1587222

Ahmed Noussair

Publication date: 30 August 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00166-2

zbMATH Keywords

Riemann problemGlimm schemenumerical scheme of Godunov typeselfsimilar vanishing viscosity method

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

• Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
• Hyperbolic systems of conservation laws II
• Microscopic Profiles of Shock Waves and Ambiguities in Multiplications of Distributions
• The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I
• Analysis and Approximation of Conservation Laws with Source Terms
• Suppression of Oscillations in Godunov’s Method for a Resonant Non-Strictly Hyperbolic System
• Solutions in the large for nonlinear hyperbolic systems of equations
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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