Differenzenverfahren zur Berechnung periodischer Lösungen von hyperbolischen Differentialgleichungen.
Differenzverfahren für Schwingungen mit trockener und zäher Reibung und für Regelungssysteme. -A Finite Difference Method in Forced Vibrations with Combined Viscous and Coulomb Damping and in Feedback Control
Diffpack technical summary
Diffusion and propagation problems in some ramified domains with a fractal boundary
This paper is devoted to some elliptic boundary value problems in a self-similar ramified domain of with a fractal boundary. Both the Laplace and Helmholtz equations are studied. A generalized Neumann boundary condition is imposed on the fractal boundary. Sobolev spaces on this domain are studied. In particular, extension and trace results are obtained. These results enable the investigation of the variational formulation of the above mentioned boundary value problems. Next, for homogeneous...
Diffusion électromagnétique à basse fréquence par un réseau de cylindres diélectriques. Étude numérique
Diffusion limit of the Lorentz model : asymptotic preserving schemes
This paper deals with the diffusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diffusive limit, the right discrete diffusion equation with the same value of the diffusion coefficient as in the continuous case. We are also naturally interested with a discretization which can be used with few velocity discretization...
Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes
This paper deals with the diffusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diffusive limit, the right discrete diffusion equation with the same value of the diffusion coefficient as in the continuous case. We are also naturally interested with a discretization which can be used with few velocity discretization...
Diffusion models and their accelerated solution in image and surface processing.
Diffusion Monte Carlo method: Numerical Analysis in a Simple Case
The Diffusion Monte Carlo method is devoted to the computation of electronic ground-state energies of molecules. In this paper, we focus on implementations of this method which consist in exploring the configuration space with a fixed number of random walkers evolving according to a stochastic differential equation discretized in time. We allow stochastic reconfigurations of the walkers to reduce the discrepancy between the weights that they carry. On a simple one-dimensional example, we prove...
Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model
Modeling the kinetics of a precipitation dissolution reaction occurring in a porous medium where diffusion also takes place leads to a system of two parabolic equations and one ordinary differential equation coupled with a stiff reaction term. This system is discretized by a finite volume scheme which is suitable for the approximation of the discontinuous reaction term of unknown sign. Discrete solutions are shown to exist and converge towards a weak solution of the continuous problem. Uniqueness...
Digital Nets and Sequences Constructed over Finite Rings and Their Application to Quasi-Monte Carlo Integration.
Digital simulation of analog computing differential equations with variable coefficients and nonlinear differential equations
Direct and Inverse Error Estimates for Finite Elements With Mesh Refinements.
Direct approach to mean-curvature flow with topological changes
This contribution deals with the numerical simulation of dislocation dynamics. Dislocations are described by means of the evolution of a family of closed or open smooth curves , . The curves are driven by the normal velocity which is the function of curvature and the position. The evolution law reads as: . The motion law is treated using direct approach numerically solved by two schemes, i. e., backward Euler semi-implicit and semi-discrete method of lines. Numerical stability is improved...
Direct computation of operational matrices for polynomial bases.
Direct Error Analysis for Least Squares.
Direct iterative methods for linear systems using weak splittings
Direct method for variational problems via hybrid of block-pulse and Chebyshev functions.
Direct methods for matrix Sylvester and Lyapunov equations.
Direct methods for the solution of singular integral equations with finite number of different zeros in pairwise.