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SIAMNUM
2010
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12 years 11 months ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
SIAMNUM
2010
120views more  SIAMNUM 2010»
12 years 11 months ago
A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws
It is well known that finite difference or finite volume total variation diminishing (TVD) schemes solving one-dimensional scalar conservation laws degenerate to first order accura...
Xiangxiong Zhang, Chi-Wang Shu
NHM
2010
141views more  NHM 2010»
12 years 11 months ago
Remarks on discretizations of convection terms in Hybrid mimetic mixed methods
We present different ways, coming from Finite Volume or Mixed Finite Element frameworks, to discretize convection terms in Hybrid Finite Volume, Mimetic Finite Difference and Mixed...
Jérôme Droniou
SIAMSC
2008
106views more  SIAMSC 2008»
13 years 4 months ago
Finite Volume Simulation of the Geostrophic Adjustment in a Rotating Shallow-Water System
The goal of this article is to simulate rotating flows of shallow layers of fluid by means of finite volume numerical schemes. More precisely, we focus on the simulation of the geo...
Manuel J. Castro, Juan Antonio López, Carlo...