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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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