The -version of the finite element method for elliptic equations of order
The parametrized algorithm for Hamiltonian matrices.
The partial inner product space method: a quick overview.
The period lengths of inversive congruential recursions
The periodic boundary value problem for some second order ordinary differential equations
The Perturbation Bounds for Eigenspaces of a Definite Matrix-Pair
The perturbed generalized proximal point algorithm
The Perturbed Generalized Tikhonov's Algorithm
We work on the research of a zero of a maximal monotone operator on a real Hilbert space. Following the recent progress made in the context of the proximal point algorithm devoted to this problem, we introduce simultaneously a variable metric and a kind of relaxation in the perturbed Tikhonov’s algorithm studied by P. Tossings. So, we are led to work in the context of the variational convergence theory.
The perturbed Tikhonov's algorithm and some of its applications
The point source function of the mixed difference problem in the half-plane
The polar form of a polynomial surface.
The problem of data assimilation for soil water movement
The soil water movement model governed by the initial-boundary value problem for a quasilinear 1-D parabolic equation with nonlinear coefficients is considered. The generalized statement of the problem is formulated. The solvability of the problem is proved in a certain class of functional spaces. The data assimilation problem for this model is analysed. The numerical results are presented.
The problem of data assimilation for soil water movement
The soil water movement model governed by the initial-boundary value problem for a quasilinear 1-D parabolic equation with nonlinear coefficients is considered. The generalized statement of the problem is formulated. The solvability of the problem is proved in a certain class of functional spaces. The data assimilation problem for this model is analysed. The numerical results are presented.
The -product approach for linear ODEs: A numerical study of the scalar case
Solving systems of non-autonomous ordinary differential equations (ODE) is a crucial and often challenging problem. Recently a new approach was introduced based on a generalization of the Volterra composition. In this work, we explain the main ideas at the core of this approach in the simpler setting of a scalar ODE. Understanding the scalar case is fundamental since the method can be straightforwardly extended to the more challenging problem of systems of ODEs. Numerical examples illustrate the...
The “progressive mixture” estimator for regression trees
The properties, inequalities and numerical approximation of modified Bessel functions.
The pseudospectral method for thermotropic primitive equation and its error estimation.
The QD-Algorithm and Multivariate Padé-Approximants.
The quantized Jacobi polynomials
The author studies a system of polynomials orthogonal at a finite set of points its weight approximating that of the orthogonal system of classical Jacobi polynomials.
The Random Product Homotopy and Deficient Polynomial Systems.