Quasi-Newton type of diagonal updating for the L-BFGS method.
Quasi-Newton's method with correction.
Résolution parallèle de problèmes aux limites non linéaires
Robust preconditioners for the matrix free truncated Newton method
New positive definite preconditioners for the matrix free truncated Newton method are given. Corresponding algorithms are described in detail. Results of numerical experiments that confirm the efficiency and robustness of the preconditioned truncated Newton method are reported.
Solving Confluent Vandermonde Systems of Hermite Type.
Solving linear systems with a Levinson-like solver.
Solving systems of two–sided (max, min)–linear equations
A finite iteration method for solving systems of (max, min)-linear equations is presented. The systems have variables on both sides of the equations. The algorithm has polynomial complexity and may be extended to wider classes of equations with a similar structure.
Some tracks in air pollution modelling and simulation.
In this article we discuss some issues related to Air Pollution modelling (as viewed by the authors): subgrid parametrization, multiphase modelling, reduction of high dimensional models and data assimilation. Numerical applications are given with POLAIR, a 3D numerical platform devoted to modelling of atmospheric trace species.
Stabilité numérique de l'algorithme de Levinson
Sur l'inversion de matrice
The Convergence rate and Complexity of Precondotioned Iterative methods based on Approximate finite Element matrix Factorization
The use of graphics card and nVidia CUDA architecture in the optimization of the heat radiation intensity
The paper focuses on the acceleration of the computer optimization of heat radiation intensity on the mould surface. The mould is warmed up by infrared heaters positioned above the mould surface, and in this way artificial leathers in the automotive industry are produced (e.g. for car dashboards). The presented heating model allows us to specify the position of infrared heaters over the mould to obtain approximately even heat radiation intensity on the whole mould surface. In this way we can obtain...
Wavelet compression of anisotropic integrodifferential operators on sparse tensor product spaces
For a class of anisotropic integrodifferential operators arising as semigroup generators of Markov processes, we present a sparse tensor product wavelet compression scheme for the Galerkin finite element discretization of the corresponding integrodifferential equations u = f on [0,1]n with possibly large n. Under certain conditions on , the scheme is of essentially optimal and dimension independent complexity (h-1| log h |2(n-1)) without corrupting the convergence or smoothness requirements...
Вычисление экспоненциальных интегралов
Об эффективности одной модификации метода Ньютона для решения системы уравнений
Сложность распознавания неприводимости системы линейных обыкновенных дифференциальных уравнений
Сложность решения систем линейных уравнений в кольцах дифференциальных операторов