requests with varying parameters. Reduced basis (RB) methods are increasingly popular methods to solve such parametrized problems. The currently existing RB-methods for time-dependent problems use identical dimensionality N of the reduced model for all timesteps. This may be suboptimal, as different

ABSTRACT This research is concerned with the idea of reducing a large time-dependent problem, such as one obtained from a Finite-Element discretization, down to a more manageable size while preserving the most important physical behavior of the solution. This reduction process is motivated

In order to control the spatial error in the finite element solution of a time-dependent partial differential equation we consider an estimate based upon the error in approximating the time derivative of the dependent variable. It is argued that this is the natural property of the spatial part

We study the application of the coherent-state path integral as a numerical tool for wave-packet propagation. The numerical evaluation of path integrals is reduced to a matrix-vector multiplication scheme. Together with a split-operator technique we apply our method to a time-dependent double

in order to preserve spectral accuracy. In the timediscretization scheme the diffusive term is treated implicitly. The matching of the elemental subsolutions is performed by using the boundary Green's functions. To avoid the global coupling and data transfer, inherent in the implicitness of the time

Abstract not found

Available online at www.sciencedirect.com computers &

In this paper a Local Defect Correction technique for time-dependent problems is presented. The method is suitable for solving Partial Differ-ential Equations characterized by a high activity, which is mainly located, at each time, in a small part of the physical domain. The problem is solved

]. We formulate each methods and present their advantages to spe-cial time-dependent harmonic oscillator problems. An decisive and com-prehensive comparison on the Magnus expansion with Suzuki’s method on some problems are given. Here classical and also quantum mechan-ical can be treated to present

We present an efficient implicit time stepping method for Discontinuous Galerkin discretizations of the compressible Navier-Stokes equations on unstructured meshes. The Local Discontinuous Galerkin method is used for the discretization of the viscous terms. For unstructured meshes, the Local