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» A numerical method for fractal conservation laws
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FOCM
2011
84views more  FOCM 2011»
13 years 22 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,...
SIAMSC
2010
170views more  SIAMSC 2010»
13 years 15 days ago
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Po...
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Is...
JCAM
2010
116views more  JCAM 2010»
13 years 17 days ago
A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods
A new approach to slope limiting for discontinuous Galerkin methods on arbitrary meshes is introduced. A local Taylor basis is employed to express the approximate solution in term...
Dmitri Kuzmin
CVPR
2000
IEEE
13 years 10 months ago
Geodesic Distance Evolution of Surfaces: A New Method for Matching Surfaces
The general problem of surface matching is taken up in this study. The process described in this work hinges on a geodesic distance equation for a family of surfaces embedded in t...
Hussein M. Yahia, Etienne G. Huot, Isabelle Herlin...
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