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SIAMNUM
2010
115views more  SIAMNUM 2010»
11 years 3 months 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
NHM
2010
66views more  NHM 2010»
11 years 3 months ago
A review of conservation laws on networks
This paper deals with various applications of conservation laws on networks. In particular we consider the car traffic, described by the LighthillWhitham-Richards model and by the ...
Mauro Garavello
DIS
2010
Springer
11 years 6 months ago
Discovery of Conservation Laws via Matrix Search
Abstract. One of the main goals of Discovery Science is the development and analysis of methods for automatic knowledge discovery in the natural sciences. A central area of natural...
Oliver Schulte, Mark S. Drew
MOC
2002
100views more  MOC 2002»
11 years 8 months ago
Numerical computation of viscous profiles for hyperbolic conservation laws
Viscous profiles of shock waves in systems of conservation laws can be viewed as heteroclinic orbits in associated systems of ordinary differential equations (ODE). In the case of ...
Heinrich Freistühler, Christian Rohde
JSCIC
2007
90views more  JSCIC 2007»
11 years 8 months ago
Convex ENO Schemes for Hamilton-Jacobi Equations
In one dimension, viscosity solutions of Hamilton-Jacobi (HJ) equations can be thought as primitives of entropy solutions for conservation laws. Based on this idea, both theoretica...
Chi-Tien Lin, Xu-Dong Liu
SIAMAM
2008
80views more  SIAMAM 2008»
11 years 8 months ago
Shock Solutions for Particle-Laden Thin Films
We derive a lubrication model describing gravity-driven thin film flow of a suspension of heavy particles in viscous fluid. The main features of this continuum model are an effecti...
Benjamin P. Cook, Andrea L. Bertozzi, A. E. Hosoi
MCSS
2008
Springer
11 years 8 months ago
Robust boundary control of systems of conservation laws
The stability problem of a system of conservation laws perturbed by non-homogeneous terms is investigated. These non-homogeneous terms are assumed to have a small C1 -norm. By a Ri...
Christophe Prieur, Joseph J. Winkin, Georges Basti...
FGCS
2006
142views more  FGCS 2006»
11 years 8 months ago
Conservation properties of multisymplectic integrators
Recent results on the local and global properties of multisymplectic discretizations of Hamiltonian PDEs are discussed. We consider multisymplectic (MS) schemes based on Fourier s...
Alvaro L. Islas, Constance M. Schober
FCS
2006
11 years 9 months ago
The Church-Turing-Deutsch Principle in Quantum Computation
This paper is based on the idea that the Church-Turing-Deutsch (CTD) principle can play a very fundamental role in Physics similar to those of conservation laws in the constructio...
P. Prashant
ICIP
1994
IEEE
12 years 13 days ago
Analyzing and Synthesizing Images by Evolving Curves
Abstract. Numerical analysis of conservation laws plays an important role in the implementation of curve evolution equations. This paper reviews the relevant concepts in numerical ...
Alfred M. Bruckstein
books