Fehlerabschätzungen für das Galerkinverfahren zur Lösung von Evolutionsgleichungen.
Fictitious domain technique for the calculation of time-periodic solutions of scattering problem.
Fifth-order numerical methods for heat equation subject to a boundary integral specification.
Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains
Finite difference approximations for a class of nonlocal parabolic equations.
Finite difference approximations for nonlinear first order partial differential equations.
Finite difference approximations for partial differential equations with rapidly oscillating coefficients
Finite difference discretization of the Kuramoto-Sivashinsky equation.
Finite difference discretization with variable mesh of the Schrodinger equation in a variable domain
Finite difference method for hyperbolic equations with the nonlocal integral condition.
Finite difference method for the parabolic problem with delta function
Finite difference operators from moving least squares interpolation
In a foregoing paper [Sonar, ESAIM: M2AN39 (2005) 883–908] we analyzed the Interpolating Moving Least Squares (IMLS) method due to Lancaster and Šalkauskas with respect to its approximation powers and derived finite difference expressions for the derivatives. In this sequel we follow a completely different approach to the IMLS method given by Kunle [Dissertation (2001)]. As a typical problem with IMLS method we address the question of getting admissible results at the boundary by introducing “ghost...
Finite Difference Schemes on Nonuniform Meshes for Parabolic Problems With Generalized Solutions
Finite element analyis of exponentially fitted Lumped schemes for time-dependent convection-diffusion problems.
Finite element discretization of the Kuramoto-Sivashinsky equation
We analyze semidiscrete and second-order in time fully discrete finite element methods for the Kuramoto-Sivashinsky equation.
Finite element solution of the fundamental equations of semiconductor devices. II
In part I of the paper (see Zlámal [13]) finite element solutions of the nonstationary semiconductor equations were constructed. Two fully discrete schemes were proposed. One was nonlinear, the other partly linear. In this part of the paper we justify the nonlinear scheme. We consider the case of basic boundary conditions and of constant mobilities and prove that the scheme is unconditionally stable. Further, we show that the approximate solution, extended to the whole time interval as a piecewise...
Finite volume methods for the valuation of American options
We consider the use of finite volume methods for the approximation of a parabolic variational inequality arising in financial mathematics. We show, under some regularity conditions, the convergence of the upwind implicit finite volume scheme to a weak solution of the variational inequality in a bounded domain. Some results, obtained in comparison with other methods on two dimensional cases, show that finite volume schemes can be accurate and efficient.
Finite-volume level set method and its adaptive version in completing subjective contours
In this paper we deal with a problem of segmentation (including missing boundary completion) and subjective contour creation. For the corresponding models we apply the semi-implicit finite volume numerical schemes leading to methods which are robust, efficient and stable without any restriction to a time step. The finite volume discretization enables to use the spatial adaptivity and thus improve significantly the computational time. The computational results related to image segmentation with partly...
Fluid flow in collapsible elastic tubes: a three-dimensional numerical model.
Fourth-order partial differential equations for effective image denoising.