Divided differences.
Dividierte Differenzen und Monotonie von Quadraturformeln.
Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?
In this paper we present an epidemic model affecting an age-structured population. We show by numerical simulations that this demographic structure can induce persistent oscillations in the epidemic. The model is then extended to encompass a stage-structured disease within an age-dependent population. In this case as well, persistent oscillations are observed in the infected as well as in the whole population.
Docking simulations and QM/MM studies between isoniazid prodrug, catalase-peroxidase (KatG) and S315T mutant from mycobacterium tuberculosis.
Does Newton's method for set-valued maps converges uniformly in mild differentiability context?
Domain decomposition algorithms for first-order system least squares methods.
Domain decomposition algorithms for time-harmonic Maxwell equations with damping
Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.
Domain Decomposition Algorithms for Time-Harmonic Maxwell Equations with Damping
Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.
Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes.
Domain decomposition method and elastic multi-structures: the stiffened plate problem.
Domain decomposition methods and scientific computing applications
This paper reviews the basic mathematical ideas and convergence analysis of domain decomposition methods. These are parallel and scalable iterative methods for the efficient numerical solution of partial differential equations. Two examples are then presented showing the application of domain decomposition methods to large-scale numerical simulations in computational mechanics and electrocardiology.
Domain decomposition methods coupled with parareal for the transient heat equation in 1 and 2 spatial dimensions
We present a parallel solution algorithm for the transient heat equation in one and two spatial dimensions. The problem is discretized in space by the lowest-order conforming finite element method. Further, a one-step time integration scheme is used for the numerical solution of the arising system of ordinary differential equations. For the latter, the parareal method decomposing the time interval into subintervals is employed. It leads to parallel solution of smaller time-dependent problems. At...
Domain Decomposition Methods for Pseudo Spectral Approximations. Part I. Second Order Equations in one Dimension.
Domain decomposition methods for solving the Burgers equation
This article presents some results of numerical tests of solving the two-dimensional non-linear unsteady viscous Burgers equation. We have compared the known convergence and parallel performance properties of the additive Schwarz domain decomposition method with or without a coarse grid for the model Poisson problem with those obtained by experiments for the Burgers problem.
Domain Decomposition Schemes for the Stokes Equation
Domain Embedding Methods for the Stokes Equations.
Domain optimization in -axisymmetric elliptic problems by dual finite element method
An axisymmetric second order elliptic problem with mixed boundary conditions is considered. The shape of the domain has to be found so as to minimize a cost functional, which is given in terms of the cogradient of the solution. A new dual finite element method is used for approximate solutions. The existence of an optimal domain is proven and a convergence analysis presented.
Domain optimization in axisymmetric elliptic boundary value problems by finite elements
An axisymmetric second order elliptic problem with mixed boundary conditions is considered. A part of the boundary has to be found so as to minimize one of four types of cost functionals. The existence of an optimal boundary is proven and a convergence analysis for piecewise linear approximate solutions presented, using weighted Sobolev spaces.
Domain optimization in axisymmetric elliptic problems
Domains of Divergence of the USSOR Method Applied on p-Cyclic Matrices.