Existence of solution a of nonlinear degenerate systems of parabolic variational inequalities
Existence of solutions to nonlinear advection-diffusion equation applied to Burgers' equation using Sinc methods
This paper has two objectives. First, we prove the existence of solutions to the general advection-diffusion equation subject to a reasonably smooth initial condition. We investigate the behavior of the solution of these problems for large values of time. Secondly, a numerical scheme using the Sinc-Galerkin method is developed to approximate the solution of a simple model of turbulence, which is a special case of the advection-diffusion equation, known as Burgers' equation. The approximate solution...
Existenzsätze mit der Linienmethode für Parabolische Probleme und periodische Lösungen von ut = f(t,x,u,ux,uxx).
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.
Explicit Runge-Kutta Formulas with Increased Stability Boundaries.
Exponentially convergent parallel discretization methods for the first order evolution equations.
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.
Extrapolation Applied to the Method of Characteristics for a first Order System of Two Partial Differential Equations. Part One : The Initial Value Problem.
Extrapolation Methods for Dynamic Partial Differential Equations.
Extrapolation to the Limit for Numerical Solutions of Hyperbolic Equations.