The Asymptotics of the Heat Equation for a Boundary Value Problem.
The averaging principle in the case of the Cauchy problem for quasilinear parabolic equations with variable principal part.
The Back and Forth Nudging algorithm for data assimilation problems : theoretical results on transport equations
In this paper, we consider the back and forth nudging algorithm that has been introduced for data assimilation purposes. It consists of iteratively and alternately solving forward and backward in time the model equation, with a feedback term to the observations. We consider the case of 1-dimensional transport equations, either viscous or inviscid, linear or not (Burgers’ equation). Our aim is to prove some theoretical results on the convergence,...
The Back and Forth Nudging algorithm for data assimilation problems : theoretical results on transport equations
In this paper, we consider the back and forth nudging algorithm that has been introduced for data assimilation purposes. It consists of iteratively and alternately solving forward and backward in time the model equation, with a feedback term to the observations. We consider the case of 1-dimensional transport equations, either viscous or inviscid, linear or not (Burgers’ equation). Our aim is to prove some theoretical results on the convergence, and convergence properties, of this algorithm. We...
The Back and Forth Nudging algorithm for data assimilation problems : theoretical results on transport equations
In this paper, we consider the back and forth nudging algorithm that has been introduced for data assimilation purposes. It consists of iteratively and alternately solving forward and backward in time the model equation, with a feedback term to the observations. We consider the case of 1-dimensional transport equations, either viscous or inviscid, linear or not (Burgers’ equation). Our aim is to prove some theoretical results on the convergence,...
The basic boundary value problems of static elasticity theory and their Cosserat spectrum.
The BC-method in multidimensional spectral inverse problem : theory and numerical illustrations
The BC-method in Multidimensional Spectral Inverse Problem: Theory and Numerical Illustrations
This work is devoted to numerical experiments for multidimensional Spectral Inverse Problems. We check the efficiency of the algorithm based on the BC-method, which exploits relations between Boundary Control Theory and Inverse Problems. As a test, the problem for an ellipse is considered. This case is of interest due to the fact that a field of normal geodesics loses regularity on a nontrivial separation set. The main result is that the BC-algorithm works quite successfully in spite of...
The beam operator and the Fučík spectrum
The Becker-Döring model with diffusion. I. Basic properties of solutions
The behavior at infinity of a solution to a Sobolev type system.
The behavior of domain decomposition methods when the overlapping length is large
In this paper, we introduce a new approach for the convergence problem of optimized Schwarz methods by studying a generalization of these methods for a semilinear elliptic equation. We study the behavior of the algorithm when the overlapping length is large.
The behavior of the free boundary for the dam problem
The behaviour of solutions to elliptic Monge-Ampère equations at singular points.
The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in .
The behaviour of the Gaussian beam in an anisotropic medium with an interface between two media.
The Bernoulli manifolds for nonelliptic quasilinear systems of first order and applications in continuum mechanics
The Bieberbach-Rademacher problem for the Monge-Ampère operator.
The block-grid method for solving Laplace's equation on polygons with nonanalytic boundary conditions.
The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II