O. Koch Institute for Analysis and Scientific Computing (E101), Vienna University of Technology, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria Received 6 February, 2009; accepted in revised form 20 December, 2011 Abstract: We discuss the numerical approximation of the solution to the multi- configuration time-dependent Hartree-Fock (MCTDHF) equations in quantum dynamics. The associated equations of motion, […]

aInstitute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstrasse 8-10/E101, A-1040 Wien, Austria bWolfgang Pauli Institute, Oskar Morgenstern-Platz 1, A-1090 Wien, Austria cDepartment of Mathematics and Computer Science, University of Basel, Spiegelgasse 1, 4051 Basel, Switzerland dInstitute of Mathematics, University of the Philippines Diliman, Quezon City,Philippines, 1101 Abstract: The Matlab package bvpsuite 2.0 is

V.N. Kovalnogov1,2, T.V. Karpukhina2, M.S. Boyarkin2 1Group of Numerical and Applied Mathematics on Urgent Problems of Energy and Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, Severny Venets Street 32, 432027 Ulyanovsk, Russian Federation 2Department of Heat-and-Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, Severny Venets Street 32, 432027 Ulyanovsk, Russian

C. Dagnino , V. Demichelis Department of Mathematics, Faculty of Scienze Matematiche Fisiche e Naturali, University of Torino, 10100 Torino, Italy Received 30 January, 2009; accepted in revised form 13 October, 2011 Abstract: We propose a new quadrature rule for Cauchy principal value integrals based on quadratic spline quasi-interpolants which have an optimal approximation order

J. Morais2 Freiberg University of Mining and Technology, Institute of Applied Analysis, Prueferstr. 9, 09596 Freiberg, Germany Received 26 November, 2010; accepted in revised form 28 July, 2011 Abstract: During the past few years considerable attention has been given to the role played by monogenic functions in approximation theory. The main goal of the present

Karline Soetaert Centre for Estuarine and Marine Ecology, Netherlands Institute of Ecology, 4401 NT Yerseke, The Netherlands Thomas Petzoldt Institut fur Hydrobiologie Technische Universitat Dresden 01062 Dresden, Germany Received 21 February, 2011; accepted in revised form 11 March, 2011 Abstract: The open-source problem solving software R [1] has become one of the most widely used

Keywords: Linear Multistep Methods, Boundary Value Methods, Conditioning, Vandermonde matrix, Bernstein polynomials, Bjork-Pereyra algorithm Abstract: The numerical solution of Boundary Value Problems usually requires the use of an adaptive mesh selection strategy. For this reason, when a Linear Multistep Method is considered, a dynamic computation of its coeffcients is necessary. This leads to solve linear

Date of Online Publication: 14/04/2007 Keywords: Computer-aided control system design, linear matrix equations, numerical algorithms, numerical linear algebra, Lyapunov equations, Sylvester equations Authors: Peter Benner, Vasile Sima, Martin Slowik Pages: 11-34 We discuss solvers for Sylvester, Lyapunov, and Stein equations that are available in the SLICOT Library (Subroutine Library In COntrol Theory). These solvers offer

Date of Online Publication: 02/11/2010 Keywords: Edge detection, discontinuities, wavelets, polyharmonic splines. Abstract: In this paper we consider the problem of detecting, from a finite discrete set of points, the curves across which a two-dimensional function is discontinuous. We propose a strategy based on wavelets which allows to discriminate the edge points from points in

Date of Online Publication: 27/10/2007 Keywords: Traveling Salesman Problem, Parallel algorithm, Metaheuristics, Optimization Authors: Wojciech Bozejko, Mieczyslaw Wodecki Pages: 129-137 In this paper we present a evolutionary algorithm for solving traveling salesman problem (TSP). It deals with testing feasible solutions which are local minima. This method is based on the following observation: if there are