Add to ORKGWe propose, analyse and demonstrate a discontinuous Galerkin method for fractal conservation laws. Various stability estimates are established along with error estimates for regular solutions of linear equa-tions. Moreover, in the nonlinear case and whenever piecewise constant elements are utilized, we prove a rate of convergence towards the unique entropy solution. We present numerical results for different types of solutions of linear and nonlinear fractal conservation laws
We study the structure and smoothness of non-homogeneous convex conservation laws. The question rega...
We give the first convergence proof for the Lax-Friedrichs finite difference scheme for non-convex g...
This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for ...
Abstract. We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservat...
We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservation laws. ...
We consider a fractal scalar conservation law, that is to say a conservation law modified by a fract...
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to ap...
Abstract. Using an integral formula of Droniou and Imbert (2005) for the fractional Laplacian, we de...
Despite the classical well-posedness theorem for entropy weak solutions of scalar conservation laws,...
AbstractIn this paper, we give a simple introduction to the devising of discontinuous Galerkin (DG) ...
Abstract. Local Discontinuous Galerkin (LDG) schemes in the sense of [5] are a flex-ible numerical t...
This is the fifth paper in a series in which we construct and study the so-called Runge-Kutta Discon...
In this paper, we analyze the Lax–Wendroff discontinuous Galerkin (LWDG) method for solving linear c...
AbstractWe study the structure and smoothness of non-homogeneous convex conservation laws. The quest...
This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discon...
We study the structure and smoothness of non-homogeneous convex conservation laws. The question rega...
We give the first convergence proof for the Lax-Friedrichs finite difference scheme for non-convex g...
This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for ...
Abstract. We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservat...
We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservation laws. ...
We consider a fractal scalar conservation law, that is to say a conservation law modified by a fract...
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to ap...
Abstract. Using an integral formula of Droniou and Imbert (2005) for the fractional Laplacian, we de...
Despite the classical well-posedness theorem for entropy weak solutions of scalar conservation laws,...
AbstractIn this paper, we give a simple introduction to the devising of discontinuous Galerkin (DG) ...
Abstract. Local Discontinuous Galerkin (LDG) schemes in the sense of [5] are a flex-ible numerical t...
This is the fifth paper in a series in which we construct and study the so-called Runge-Kutta Discon...
In this paper, we analyze the Lax–Wendroff discontinuous Galerkin (LWDG) method for solving linear c...
AbstractWe study the structure and smoothness of non-homogeneous convex conservation laws. The quest...
This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discon...
We study the structure and smoothness of non-homogeneous convex conservation laws. The question rega...
We give the first convergence proof for the Lax-Friedrichs finite difference scheme for non-convex g...
This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for ...