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JSCIC
2008
60views more  JSCIC 2008»
9 years 10 months ago
On the Stability and Accuracy of the Spectral Difference Method
In this article, it is shown that under certain conditions, the spectral difference (SD) method is independent of the position of the solution points. This greatly simplifies the d...
Kris Van den Abeele, Chris Lacor, Z. J. Wang
JSCIC
2008
124views more  JSCIC 2008»
9 years 10 months ago
Growth, Structure and Pattern Formation for Thin Films
Abstract An epitaxial thin film consists of layers of atoms whose lattice properties are determined by those of the underlying substrate. This paper reviews mathematical modeling, ...
Russel E. Caflisch
JSCIC
2008
82views more  JSCIC 2008»
9 years 10 months ago
Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids
Abstract We investigate a phase-field model for homogeneous nucleation and critical nucleus morphology in solids. We analyze the mathematical properties of a free energy functional...
Lei Zhang, Long-Qing Chen, Qiang Du
JSCIC
2008
48views more  JSCIC 2008»
9 years 10 months ago
A Level-Set Method for Computing the Eigenvalues of Elliptic Operators Defined on Compact Hypersurfaces
We demonstrate, through separation of variables and estimates from the semiclassical analysis of the Schr
Jeremy Brandman
JSCIC
2008
71views more  JSCIC 2008»
9 years 10 months ago
Numerical and Statistical Methods for the Coarse-Graining of Many-Particle Stochastic Systems
In this article we discuss recent work on coarse-graining methods for microscopic stochastic lattice systems. We emphasize the numerical analysis of the schemes, focusing on error ...
Markos A. Katsoulakis, Petr Plechác, Luc Re...
JSCIC
2008
98views more  JSCIC 2008»
9 years 10 months ago
A Posteriori Error Estimates for Parabolic Variational Inequalities
We study a posteriori error estimates in the energy norm for some parabolic obstacle problems discretized with a Euler implicit time scheme combined with a finite element spatial ...
Yves Achdou, Frédéric Hecht, David P...
JSCIC
2008
55views more  JSCIC 2008»
9 years 10 months ago
Modified Optimal Prediction and its Application to a Particle-Method Problem
Abstract The paper is concerned with system reduction by statistical methods and, in particular, by the optimal prediction method introduced in (Chorin, A.J., Hald, O.H., Kupferman...
Alina Chertock, David Gottlieb, Alex Solomonoff
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