Determination of the best constant in an inequality of Hardy, Littlewood, and Pólya.
Determination of the initial stress tensor from deformation of underground opening in excavation process
A method for the detection of the initial stress tensor is proposed. The method is based on measuring distances between pairs of points located on the wall of underground opening in the excavation process. This methods is based on solving twelve auxiliary problems in the theory of elasticity with force boundary conditions, which is done using the least squares method. The optimal location of the pairs of points on the wall of underground openings is studied. The pairs must be located so that the...
Determination of the initial stress tensor from deformation of underground opening -- theoretical background and applications
In this paper a method for the detection of initial stress tensor is proposed. The method is based on measuring distances between some pairs of points located on the wall of underground opening in the excavation process. This methods is based on the solution of eighteen auxiliary problems in the theory of elasticity with force boundary conditions. The optimal location of the pairs of points on the wall of underground work is studied. The pairs must be located so that the condition number of a certain...
Determination of the Invariant Interval for Positive Linear Operators by a Nonstationary Iterative Procedure
Determination of the number of texture segments using wavelets.
Determination of the Thickness and Composition Profiles for a Film of Binary Mixture on a Solid Substrate
We determine the steady-state structures that result from liquid-liquid demixing in a free surface film of binary liquid on a solid substrate. The considered model corresponds to the static limit of the diffuse interface theory describing the phase separation process for a binary liquid (model-H), when supplemented by boundary conditions at the free surface and taking the influence of the solid substrate into account. The resulting variational problem...
Détermination rapide d'une solution de base initiale en programmation linéaire continue
Determining the weights of a Fourier series neural network on the basis of the multidimensional discrete Fourier transform
This paper presents a method for training a Fourier series neural network on the basis of the multidimensional discrete Fourier transform. The proposed method is characterized by low computational complexity. The article shows how the method can be used for modelling dynamic systems.
Determining zeroes of increasing Lipschitz functions.
Deterministic and stochastic models of dynamics of chemical systems
Deterministic global optimization using interval constraint propagation techniques
The purpose of this article is to show the great interest of the use of propagation (or pruning) techniques, inside classical interval Branch-and-Bound algorithms. Therefore, a propagation technique based on the construction of the calculus tree is entirely explained and some properties are presented without the need of any formalism (excepted interval analysis). This approach is then validated on a real example: the optimal design of an electrical rotating machine.
Deterministic global optimization using interval constraint propagation techniques
The purpose of this article is to show the great interest of the use of propagation (or pruning) techniques, inside classical interval Branch-and-Bound algorithms. Therefore, a propagation technique based on the construction of the calculus tree is entirely explained and some properties are presented without the need of any formalism (excepted interval analysis). This approach is then validated on a real example: the optimal design of an electrical rotating machine.
Deterministic multivariate model for simulation of downstream BIVAL automatic controller in irrigation systems.
Deux algorithmes de programmation mathématique
Deux problèmes d'affectation non linéaires
Deux résultats sur certaines formules particulières du type Runge-Kutta
Development and evaluation of a stochastic simulation of cartilage bone osteogenesis.
Development and Implementation of NURBS Models of Quadratic Curves and Surfaces
This article goes into the development of NURBS models of quadratic curves and surfaces. Curves and surfaces which could be represented by one general equation (one for the curves and one for the surfaces) are addressed. The research examines the curves: ellipse, parabola and hyperbola, the surfaces: ellipsoid, paraboloid, hyperboloid, double hyperboloid, hyperbolic paraboloid and cone, and the cylinders: elliptic, parabolic and hyperbolic. Many real objects which have to be modeled in 3D applications possess...
Development of local, global, and trace estimates for the solutions of elliptic equations.
Dewetting dynamics of anisotropic particles: A level set numerical approach
We extend thresholding methods for numerical realization of mean curvature flow on obstacles to the anisotropic setting where interfacial energy depends on the orientation of the interface. This type of schemes treats the interface implicitly, which supports natural implementation of topology changes, such as merging and splitting, and makes the approach attractive for applications in material science. The main tool in the new scheme are convolution kernels developed in previous studies that approximate...