The accuracy of numerically computed orbits of dynamical systems
The Achilles' heel of ?
The adaptation of the -means algorithm to solving the multiple ellipses detection problem by using an initial approximation obtained by the DIRECT global optimization algorithm
We consider the multiple ellipses detection problem on the basis of a data points set coming from a number of ellipses in the plane not known in advance, whereby an ellipse is viewed as a Mahalanobis circle with center , radius , and some positive definite matrix . A very efficient method for solving this problem is proposed. The method uses a modification of the -means algorithm for Mahalanobis-circle centers. The initial approximation consists of the set of circles whose centers are determined...
The Analysis of a Nested Dissection Algorithm.
The analysis of intergrid transfer operators and multigrid methods for nonconforming finite elements.
The Analysis of k-Step Iterative Methods for Linear Systems from Summability Theory
The analytic SVD: on the non-generic points on the path.
The anti-symmetric ortho-symmetric solutions of the matrix equation XA=D.
The application of a class of one-step methods to solve the initial value problem
The Application of Rosenbrock-Wanner Type Methods with Stepsize Control in Differential-Algebraic Equations.
The application of the method of differential relations to the equations of continuum mechanics
The approximate Euler method for Lévy driven stochastic differential equations
The approximate solution of nonlinear singular integro-differential equations.
This paper concerns the sufficient conditions for the applicability of the Newton-Kantorovich method to nonlinear singular integro-differential equation with Hilbert Kernel.
The Approximation of Generalized Turning Points by Projection Methods with Superconvergence to the Critical Parameter.
The approximation of the pressure by a mixed method in the simulation of miscible displacement
The asymptotic behavior at the large time of solutions of some mathematical physics problems
The asymptotic distribution of general interpolation arrays for exponential weights.
The automatic computation of second-order slope tuples for some nonsmooth functions.
The Average A Posteriori Error of Numerical Methods.
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,...