Add to ORKGAbstract. We present two versions of third order accurate jet schemes, which achieve high order accuracy by tracking derivative information of the solution along characteristic curves. For a benchmark linear advection problem, the efficiency of jet schemes is compared with WENO and Discontinuous Galerkin methods of the same order. Moreover, the performance of various schemes in tracking solution contours is investigated. It is demonstrated that jet schemes possess the simplicity and speed of WENO schemes, while showing several of the advantages as well as the accuracy of DG methods. 1
Abstract. We discuss the issues of implementation of a higher order discontinuous Galerkin (DG) sche...
Abstract. We develop a family of characteristic discontinuous Galerkin methods for transient advecti...
Since computational fluid dynamics CFD is no longer used by only a handful of experts but has become...
Abstract. We present two versions of third order accurate jet schemes, which achieve high order accu...
Abstract. We present a systematic methodology to develop high order accurate numerical approaches fo...
Abstract. We present a systematic methodology to develop high order ac-curate numerical approaches f...
The Jet Transport method has emerged as a powerful tool for the numerical integration of ordinary di...
High order WENO (weighted essentially non-oscillatory) schemes and discontinuous Galerkin methods ar...
In this short note we address the issue of numerical resolution and efficiency of high order weighte...
Using the interpolation polynomial method, major upwind explicit advection–diffusion schemes of up t...
In the fourth installment of the celebrated series of five papers entitled "Towards the ultimate con...
Many interfacial phenomena in physical and biological systems are dominated by high order geometric ...
This project is about the investigation of the development of the discontinuous Galerkin finite elem...
AbstractIn this paper we study the error propagation of numerical schemes for the advection equation...
In this note we consider the application of the WENO scheme to simulations of steady-state flow in a...
Abstract. We discuss the issues of implementation of a higher order discontinuous Galerkin (DG) sche...
Abstract. We develop a family of characteristic discontinuous Galerkin methods for transient advecti...
Since computational fluid dynamics CFD is no longer used by only a handful of experts but has become...
Abstract. We present two versions of third order accurate jet schemes, which achieve high order accu...
Abstract. We present a systematic methodology to develop high order accurate numerical approaches fo...
Abstract. We present a systematic methodology to develop high order ac-curate numerical approaches f...
The Jet Transport method has emerged as a powerful tool for the numerical integration of ordinary di...
High order WENO (weighted essentially non-oscillatory) schemes and discontinuous Galerkin methods ar...
In this short note we address the issue of numerical resolution and efficiency of high order weighte...
Using the interpolation polynomial method, major upwind explicit advection–diffusion schemes of up t...
In the fourth installment of the celebrated series of five papers entitled "Towards the ultimate con...
Many interfacial phenomena in physical and biological systems are dominated by high order geometric ...
This project is about the investigation of the development of the discontinuous Galerkin finite elem...
AbstractIn this paper we study the error propagation of numerical schemes for the advection equation...
In this note we consider the application of the WENO scheme to simulations of steady-state flow in a...
Abstract. We discuss the issues of implementation of a higher order discontinuous Galerkin (DG) sche...
Abstract. We develop a family of characteristic discontinuous Galerkin methods for transient advecti...
Since computational fluid dynamics CFD is no longer used by only a handful of experts but has become...