A split godunov scheme for solving one-dimensional hyperbolic systems in a nonconservative form
- Author
- MOPHOU, Gisèle1 ; POULLET, Pascal1
[1] Laboratoire de Mathématiques, Université des Antilles et de la Guyane, Campus de Fouillole, 97159 Pointe-à-Pitre, Guadeloupe - Source
SIAM journal on numerical analysis. 2003, Vol 40, Num 1, pp 1-25, 25 p ; ref : 15 ref
- CODEN
- SJNAEQ
- ISSN
- 0036-1429
- Scientific domain
- Mathematics; Mechanics acoustics
- Publisher
- Society for Industrial and Applied Mathematics, Philadelphia, PA
- Publication country
- United States
- Document type
- Article
- Language
- English
- Keyword (fr)
- Analyse numérique Convergence méthode numérique Dynamique gaz Equation Burgers Equation dérivée partielle Equation hyperbolique Estimation erreur Etude théorique Hydrodynamique Onde choc Onde raréfaction Physique mathématique Problème Cauchy Problème Riemann Simulation numérique Stabilité numérique Système non conservatif Théorie élasticité Coefficient discontinu Méthode splitting Schéma Godunov
- Keyword (en)
- Numerical analysis Convergence of numerical methods Gas dynamics Burgers equation Partial differential equation Hyperbolic equation Error estimation Theoretical study Hydrodynamics Shock wave Rarefaction wave Mathematical physics Cauchy problem Riemann problem Numerical simulation Numerical stability Non conservative system Elasticity theory Discontinuous coefficient Splitting method Godunov scheme
- Keyword (es)
- Análisis numérico Dinámica gas Ecuación Burgers Ecuación derivada parcial Ecuación hiperbólica Estimación error Estudio teórico Hidrodinámica Onda choque Onda succión Física matemática Problema Cauchy Problema Riemann Simulación numérica Estabilidad numérica Sistema no conservativo Teoría elasticidad
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E16 Functional analysis
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01J Partial differential equations, initial value problems and time-dependant initial-boundary value problems
- Pascal
- 001 Exact sciences and technology / 001B Physics / 001B00 General / 001B00C Classical and quantum physics: mechanics and fields / 001B00C40 Classical mechanics of continuous media: general mathematical aspects / 001B00C40D Elasticity, plasticity: general mathematical aspects
- Pascal
- 001 Exact sciences and technology / 001B Physics / 001B40 Fundamental areas of phenomenology (including applications) / 001B40G Fluid dynamics / 001B40G40 Compressible flows; shock and detonation phenomena / 001B40G40N Shock-wave interactions and shock effects
- Discipline
- Mathematics Physics : fluid mechanics Theoretical physics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 14673850
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1137/S0036142900378637 
https://dx.doi.org/10.1137/S0036142900378637
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