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SIAMNUM
2010
115views more  SIAMNUM 2010»
13 years 2 days ago
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusi
In this paper, we study the superconvergence property for the discontinuous Galerkin (DG) and the local discontinuous Galerkin (LDG) methods, for solving one-dimensional time depe...
Yingda Cheng, Chi-Wang Shu
JSCIC
2010
150views more  JSCIC 2010»
13 years 3 days ago
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations
In this paper, a central discontinuous Galerkin method is proposed to solve for the viscosity solutions of Hamilton-Jacobi equations. Central discontinuous Galerkin methods were or...
Fengyan Li, Sergey Yakovlev
FOCM
2011
84views more  FOCM 2011»
13 years 9 days ago
Discrete Lie Advection of Differential Forms
In this paper, we present a numerical technique for performing Lie advection of arbitrary differential forms. Leveraging advances in high-resolution finite volume methods for sca...
Patrick Mullen, Alexander McKenzie, Dmitry Pavlov,...
SCALESPACE
2005
Springer
13 years 10 months ago
Stabilised Nonlinear Inverse Diffusion for Approximating Hyperbolic PDEs
Stabilised backward diffusion processes have shown their use for a number of image enhancement tasks. The goal of this paper is to show that they are also highly useful for designi...
Michael Breuß, Thomas Brox, Thomas Sonar, Jo...
MOC
1998
136views more  MOC 1998»
13 years 5 months ago
Total variation diminishing Runge-Kutta schemes
In this paper we further explore a class of high order TVD (total variation diminishing) Runge-Kutta time discretization initialized in a paper by Shu and Osher, suitable for solvi...
Sigal Gottlieb, Chi-Wang Shu