Evolution of fluid-fluid interface in porous media as the model of gas-oil fields.
Experimental comparison of traffic flow models on traffic data
Despite their deficiencies, continuous second-order traffic flow models are still commonly used to derive discrete-time models that help traffic engineers to model and predict traffic oflow behaviour on highways. We brie fly overview the development of traffic flow theory based on continuous flow-density models of Lighthill-Whitham-Richards (LWR) type, that lead to the second-order model of Aw-Rascle. We will then concentrate on widely-adopted discrete approximation to the LWR model by Daganzo's...
Explicit Difference Approximations of Du Fort-Frankel Type of the One-Dimensional Diffusion Equation.
Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis
We study the initial-value problem for parabolic equations with time dependent coefficients and with nonlinear and nonlocal right-hand sides. Nonlocal terms appear in the unknown function and its gradient. We analyze convergence of explicit finite difference schemes by means of discrete fundamental solutions.
Explicit Finite Element Schemes for First Order Symmetric Hyperbolic Systems.
Extrapolated alternating direction implicit methods for solving the biharmonic equation in three space variables
Extrapolation Applied to Certain Discretization Methods Solving the Initial Value Problem for Hyperbolic Differential Equations.
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