Add to ORKGWe design high-order schemes to approximate the weak solutions of hyperbolic systems of conservation laws. These schemes are based on high order correction of the standard HLL flux. They are proved to satisfy a global entropy stability property under an appropriate CFL condition. These schemes do not involve limitation techniques and thus relevantly preserve the order of accuracy. Numerical experiments illustrate the accuracy and the stability of the proposed schemes
This paper contains a survey of some important numerical methods for one-dimensional hyper-bolic con...
This article contains a survey of some important finite-difference methods for one-dimensional hyper...
13. ABSTRACT (Maximum 200 words) A subject of investigation was the extent to which an entropy inequ...
We design high-order schemes to approximate the weak solutions of hyperbolic systems of conservation...
International audienceThe present work concerns the derivation of entropy stability properties to be...
It is known that HLL-type schemes are more dissipative than schemes based on characteristic decompos...
Summary. For the high-order numerical approximation of hyperbolic systems of conservation laws, we p...
Abstract. We consider weak solutions of (hyperbolic or hyperbolic-elliptic) systems of con-servation...
This work examines the development of an entropy conservative (for smooth solutions) or entropy stab...
Despite the classical well-posedness theorem for entropy weak solutions of scalar conservation laws,...
This is a survey paper, written in the occasion of an invited talk given by the author at the Univer...
To solve hyperbolic conservation laws we propose to use high-order essentially nonoscillatory method...
A central problem in computational fluid dynamics is the development of the numerical approximations...
We are interested in the approximation of a steady hyperbolic problem. In some cases, the solution c...
"There is no theory for the initial value problem for compressible flows in two space dimension...
This paper contains a survey of some important numerical methods for one-dimensional hyper-bolic con...
This article contains a survey of some important finite-difference methods for one-dimensional hyper...
13. ABSTRACT (Maximum 200 words) A subject of investigation was the extent to which an entropy inequ...
We design high-order schemes to approximate the weak solutions of hyperbolic systems of conservation...
International audienceThe present work concerns the derivation of entropy stability properties to be...
It is known that HLL-type schemes are more dissipative than schemes based on characteristic decompos...
Summary. For the high-order numerical approximation of hyperbolic systems of conservation laws, we p...
Abstract. We consider weak solutions of (hyperbolic or hyperbolic-elliptic) systems of con-servation...
This work examines the development of an entropy conservative (for smooth solutions) or entropy stab...
Despite the classical well-posedness theorem for entropy weak solutions of scalar conservation laws,...
This is a survey paper, written in the occasion of an invited talk given by the author at the Univer...
To solve hyperbolic conservation laws we propose to use high-order essentially nonoscillatory method...
A central problem in computational fluid dynamics is the development of the numerical approximations...
We are interested in the approximation of a steady hyperbolic problem. In some cases, the solution c...
"There is no theory for the initial value problem for compressible flows in two space dimension...
This paper contains a survey of some important numerical methods for one-dimensional hyper-bolic con...
This article contains a survey of some important finite-difference methods for one-dimensional hyper...
13. ABSTRACT (Maximum 200 words) A subject of investigation was the extent to which an entropy inequ...