Abstract. In this paper we generalizew the semi-analytical method16 for solving the Derivative Riemann Problem to hyperbolic systems for which the Riemann problem solu-tion is not available. As an application example we implement the new derivative Riemann solver in the high-order finite-volume ADER advection schemes. We provide numerical examples for two-dimensional hyperbolic systems which illustrate robustness and high ac-curacy of the resulting schemes.
We present a method for solving the generalized Riemann problem for partial differ-ential equations ...
This paper contains a survey of some important numerical methods for one-dimensional hyper-bolic con...
International audienceThis paper deals with the development of efficient incomplete multidimensional...
In this paper we generalizew the semi-analytical method16 for solving the Derivative Riemann Problem...
In this paper we first briefly review the semi-analytical method [20] for solving the Derivative Rie...
AbstractIn this paper we first briefly review the very high order ADER methods for solving hyperboli...
Abstract. The corner stone of arbitrary high order schemes (ADER schemes) is the solution of the der...
The corner stone of arbitrary high order schemes (ADER schemes) is the solution of the derivative Ri...
ADER schemes are numerical methods, which can reach an arbitrary order of accuracy in both space and...
A new method for solving hyperbolic conservation laws is proposed by defining an ap-proximate Rieman...
The high speed flow of complex materials can often be modeled by the compressible Euler Equations co...
In this paper we consider numerical approximations of hyperbolic conservation laws in the one-dimens...
In this work we propose a numerical strategy to solve a family of partial differential equations ari...
This report investigates the general theory and methodology of high resolution numerical schemes for...
This article contains a survey of some important finite-difference methods for one-dimensional hyper...
We present a method for solving the generalized Riemann problem for partial differ-ential equations ...
This paper contains a survey of some important numerical methods for one-dimensional hyper-bolic con...
International audienceThis paper deals with the development of efficient incomplete multidimensional...
In this paper we generalizew the semi-analytical method16 for solving the Derivative Riemann Problem...
In this paper we first briefly review the semi-analytical method [20] for solving the Derivative Rie...
AbstractIn this paper we first briefly review the very high order ADER methods for solving hyperboli...
Abstract. The corner stone of arbitrary high order schemes (ADER schemes) is the solution of the der...
The corner stone of arbitrary high order schemes (ADER schemes) is the solution of the derivative Ri...
ADER schemes are numerical methods, which can reach an arbitrary order of accuracy in both space and...
A new method for solving hyperbolic conservation laws is proposed by defining an ap-proximate Rieman...
The high speed flow of complex materials can often be modeled by the compressible Euler Equations co...
In this paper we consider numerical approximations of hyperbolic conservation laws in the one-dimens...
In this work we propose a numerical strategy to solve a family of partial differential equations ari...
This report investigates the general theory and methodology of high resolution numerical schemes for...
This article contains a survey of some important finite-difference methods for one-dimensional hyper...
We present a method for solving the generalized Riemann problem for partial differ-ential equations ...
This paper contains a survey of some important numerical methods for one-dimensional hyper-bolic con...
International audienceThis paper deals with the development of efficient incomplete multidimensional...
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