#### Filter Results:

- Full text PDF available (5)

#### Publication Year

1987

2017

- This year (1)
- Last 5 years (5)
- Last 10 years (7)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Alexei Lozinski, Marco Picasso, Virabouth Prachittham
- SIAM J. Scientific Computing
- 2009

In this paper we derive two a posteriori upper bounds for the heat equation. A continuous, piecewise linear finite element discretization in space and the Crank-Nicolson method for the time discretization are used. The error due to the space discretization is derived using anisotropic interpolation estimates and a post-processing procedure. The error due to… (More)

- Pierre Degond, Alexei Lozinski, Jacek Narski, Claudia Negulescu
- J. Comput. Physics
- 2012

- Roland Glowinski, Jiwen He, Alexei Lozinski, Jacques Rappaz, Joël Wagner
- Numerische Mathematik
- 2005

- Cédric Chauvière, Alexei Lozinski
- SIAM J. Scientific Computing
- 2003

- Alexei Lozinski, Benjamin K. Fisher, Jörn Walter, Philip J Fitzpatrick
- Journal of the American Academy of Dermatology
- 1987

We describe the clinical and pathologic observations of a 45-year-old woman with linear porokeratosis who developed squamous cell carcinoma in lesional sites. The squamous cell carcinoma metastasized to a regional lymph node. This is the second case of metastatic squamous cell carcinoma reported in porokeratosis and the first reported in the linear variety.

- Claude Le Bris, Frédéric Legoll, Alexei Lozinski
- Multiscale Modeling & Simulation
- 2014

- NUOVO CIMENTO, Thomas Wellens, Alexei Lozinski
- 2003

– We derive an analytical expression for the lower bound of the concurrence of mixed quantum states of composite 2×K systems. In contrast to other, implicitly defined entanglement measures, the numerical evaluation of our bound is straightforward. We explicitly evaluate its tightness for general mixed states of 2 × 3 systems, and identify a large class of… (More)

This paper deals with the numerical study of a nonlinear, strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high anisotropy. An Asymptotic-Preserving method is introduced in this paper, which is second-order accurate in both, temporal and spacial variables. The discretization in time is done… (More)

- Radoslaw Glowinski, Jinao He, +4 authors Jean-Paul Wagner
- 2006

We present a new method [7] for numerically solving elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. We use a relaxed iterative method which consists in calculating successive corrections to the solution in patches of finite elements. We analyse the spectral properties of the iteration operator [6]. We show how… (More)

- Vittoria Rezzonico, Alexei Lozinski, Marco Picasso, Jacques Rappaz, Joël Wagner
- Mathematics and Computers in Simulation
- 2007