SIAMNUM
2010
13 years 6 months ago
2010
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...
NHM
2010
13 years 6 months ago
2010
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 ...
DIS
2010
Springer
13 years 10 months ago
2010
Springer
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...
MOC
2002
13 years 11 months ago
2002
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 ...
JSCIC
2007
13 years 11 months ago
2007
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...
SIAMAM
2008
13 years 11 months ago
2008
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...
MCSS
2008
Springer
13 years 11 months ago
2008
Springer
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...
FGCS
2006
13 years 11 months ago
2006
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...
FCS
2006
14 years 25 days ago
2006
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...
ICIP
1994
IEEE
14 years 3 months ago
1994
IEEE
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 ...