We construct space-time Petrov–Galerkin discretizations of the heat equation on an unbounded temporal interval, either right-unbounded or left-unbounded. The discrete trial and test spaces are defined using Laguerre polynomials in time and are shown to satisfy the discrete inf-sup condition. Numerical examples are provided.

S. Bergmann, Y. Grossman, Z. Ligeti, Y. Nir and A.A. Petrov Department of Particle Physics, Weizmann Institute of Science, Rehovot 76100, Israel Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309, USA Theory Group, Fermilab, P.O. Box 500, Batavia, IL 60510, USA School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA e Department of Physics and...

Tuan Anh TRAN, Valya VASSILEVA, Petar PETROV, Losanka Petrova POPOVA* Department of Photosynthesis, Institute of Plant Physiology and Genetics, Bulgarian Academy of Sciences, Sofia, Bulgaria Department of Plant Stress Molecular Biology, Institute of Plant Physiology and Genetics, Bulgarian Academy of Sciences, Sofia, Bulgaria Department of Mineral Nutrition and Water Relations, Institute of Pla...

On-line Tracking of Fuel Cell System Impedance Using Extended Kalman Filter Andrej Debenjak*, Matej Gašperin, Janko Petrov i a,c Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia University of West Bohemia, Faculty of Electrical Engineering, RICE, Univerzitni 26, 306 14 Pilsen, Czech Republic Centre of Excellence for Low-carbon Technologies – CO NOT, Hajdrihova 19, 1000 Ljubljana, Slo...

We consider variational time integration using continuous Galerkin-Petrov methods applied to evolutionary systems of changing type. prove optimal-order convergence the error in a cGP-like norm and conclude paper with some numerical examples conclusions.

A.B. Mei, R.B. Wilson, D. Li, David G. Cahill, A. Rockett, Jens Birch, Lars Hultman, Joseph E Greene and Ivan Petrov, Elastic constants, Poisson ratios, and the elastic anisotropy of VN(001), (011), and (111) epitaxial layers grown by reactive magnetron sputter deposition, 2014, Journal of Applied Physics, (115), 21, 214908. http://dx.doi.org/10.1063/1.4881817 Copyright: American Institute of P...

We discuss the (conjugated) Bubnov–Galerkin and Petrov–Galerkin infinite element (IE) discretizations to Helmholtz equation including the use of elements of locally variable order, optimal choice of IE shape functions, calculation of Echo Area (EA), and automatic hp-adaptivity. The discussion is illustrated with 2D numerical experiments. 2005 Elsevier B.V. All rights reserved. MSC classificatio...

An abstract functional framework is developed for the dual Petrov-Galerkin formulation of the initial boundary value problems with a third-order spatial derivative. This framework is then applied to study the wellposedness and decay properties of Airy equation and KdV equation in a finite interval.

1Max-Born-Institute for Nonlinear Optics and Ultrafast Spectroscopy, 2A Max-Born-Str., D-12489 Berlin, Germany, 2Special Technologies, Ltd., 1/3 Zeljonaja gorka Str., 630060 Novosibirsk, Russia, 3Research Laboratory of Quantum Optics Technology, Novosibirsk State University, 2 Pirogova Str., 630090 Novosibirsk, Russia, 4Department of Applied Physics, Royal Institute of Technology, 10691 Stockho...

B. Neyenhuis, B. Yan, S. A. Moses, J. P. Covey, A. Chotia, A. Petrov,* S. Kotochigova, J. Ye, and D. S. Jin JILA, National Institute of Standards and Technology and University of Colorado, and Department of Physics, University of Colorado, Boulder, Colorado 80309-0440, USA Department of Physics, Temple University, Philadelphia, Pennsylvania 19122-6082, USA (Received 10 September 2012; published...