Elpacos applied mathematics 

                 (Former Elpacos Mathsoftware)

offers modeling by using Mathematica in various fields of applied mathematics.

Activities

Activities Head Contact Elpacos statistics & applied mathematics

Activities: Mathematica Package LaplaceAndzTransforms V 8.0. Mathematica Package GaussHamilton Hull desing of sail boats by using mathematics Modeling of walve gears for steam engines Mathematica Package LaplaceAndzTransforms V8.0 is written by Urs Graf who owns the copyright is a Mathematica Package. The Package symbolically computes Laplace transforms, inverse Laplace transforms, z-transforms, inverse z-transforms, advanced z-transforms and their inverses, Hilbert transforms. It solves differential equations, integral equations, difference equations of the discrete type and of the continuous type, all by using Laplace- and z-transforms. It offers routines for numerically computing of inverse Laplace transfroms. You need the mentioned book Applied Laplace Transforms and z-Transforms for Scientists and Engineeres for using the Package. In order to have an idea of the Package take a look at the list of commands, the contents of the book. Beside to be a textbook on Laplace and z-transforms, it is also the manual for the Package.  Owners of the book can obtain the newest update version of the Package from the author. This Package is exposed and used in the textbook of the author Applied Laplace Transforms and z-Transforms for Scientists and Engineeres, Birkhauser Verlag, Basel-Boston-Berlin, 2004, ISBN 3-7643-2427--9. Version 8.0 is an update of the Package that was delivered with the book. The book equally presents a readable exposition of the theory of Laplace- and z-transformation destinated to applied mathematicians, scientists and engineers. Mathematica Package GaussHamilton is a small Package of the author performing analytic geometry and Möbius transformations in the complex plane, vector geometry in three-dimensional space and in the two-dimensional plane. The above Packages can be obtained from the author Dr. Urs. E. Graf in electronic form. You simply send an e-mail to urs.e.graf@elpacos.ch. Hull design of sailboats by using mathematics The author has developed a method of hull design that uses  mathematics rather than the classical instruments as pencil and splines. By doing so the hull becomes numerically precisely defined and the inherent beauty of mathematics reveals itself in the beauty of  the lines of the hull. See an example. Modeling of walve gears of steam engines The classical walve gear  of Stephenson, Gooch, Walscherts-Heusinger, and Joy  used for controlling the admission and exhaust to the cylinders of a steam engine were always difficult to be computed analytically. By using the methods of analytiy geometry together with the power of Mathematica the author has  modeled  various walve gears.  The resulting  software  is  a useful tool  in the process of design and regulation  of a steam engine.

 

Head

Activities Head Contact  Elpacos statistics & applied mathematics

Urs E. Graf, Dr ès Sciences EPFL E-mail: urs.e.graf@elpacos.ch Biography Born 26the March 1943 at Schaffhausen, Switzerland Apprenticeship as a precision mechanic Studies of mathematics and physics at the universities of Zurich and Bonn, diploma degree in mathematics 1970 Ph.D. (Dr. ès sc.) in mathematics at the Swiss Federal Institute of Technology Lausanne. Thesis No 232 (1975): " Die Anwendung asymptotischer Darstellungen von Parameterintegralen auf eine Klasse von nichtlinearen Schwingungsproblemen". Professor of mathematics at the University of Applied Sciences of Berne (BFH-TI), since 1976 Invited Scholar of the University of Washington, Seattle USA, 1986-87 Vice-principal of the BFH-TI, since 1992 Invited Scholar of Wolfram Research Urbana-Champaign 2001 Retirement from the BFH-TI, September 2007. Realized Projects: Application de la transformation de Laplace au problème de la diffusion du carbone dans l'acier, Bienne 1994 Mathematica Package Laplace- and z-Transforms, Bienne 1996 Modélisation d'oscillateurs éléctroniques non linéaires, Bienne 1999 Applied Laplace Transforms and z-Transforms for Scientists and Engineers, A Computational Approach using a Mathematica Package, Birkhauser Basel, 2004, see Contents of the book. Software Mathematica Package LaplaceAndzTransforms V.7.0, see Commands of the Package.. Introduction to Hyperfunctions and Their Integral Transforms, Birkhäuser Basel, 2010. Modelisaton de la distribution Stephenson de la machine à vapeur Maffei 576 pour le compte de Trivapor Neuchâtel, 2012.