Mathematical Modeling and Simulation

Kai Velten

ISBN 10: 3527407588 / ISBN 13: 9783527407583

Published by Wiley-VCH Verlag GmbH, DE, 2008

About this Item

Um dieses Buch zu verstehen, müssen Sie lediglich Grundkenntnisse der Integral- und Differenzialrechnung und der linearen Algebra mitbringen. Der Autor erklärt auch für Einsteiger und Studenten unterer Semester verständlich, wie man einfache mathematische Modelle formuliert, auswählt, anwendet und die Resultate kritisch analysiert. Dies wird anhand von Beispielen aus vielen Disziplinen wie Biologie, Ökologie, Wirtschaft, Medizin, Landwirtschaft, Chemie, Elektrotechnik, Prozesstechnik und Maschinenbau erläutert, wobei neben elementaren statistischen Modellen, Regressionsmethoden und neuronalen Netzen auch Modelle in Form gewöhnlicher und partieller Differentialgleichungen detailliert behandelt werden. Das Buch stützt sich ausschließlich auf Open-Source-Software. Die gesamte Buchsoftware - einschließlich 3D-CFD- und 3D-Strukturmechanik-Simulationssoftware - kann auf Grundlage einer kostenlosen, im Internet erhältlichen CAELinux-Live-DVD genutzt werden.

Seller Inventory # LU-9783527407583

Bibliographic Details

• Title: Mathematical Modeling and Simulation
• Publisher: Wiley-VCH Verlag GmbH, DE
• Publication Date: 2008
• Language: English
• ISBN 10: 3527407588
• ISBN 13: 9783527407583
• Binding: Paperback
• Condition: New
• Weight: 484 grams

About this title

Synopsis

This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail.

Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation?

The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

About the Author

Kai Velten is a professor of mathematics at the University of Applied Sciences, Wiesbaden, Germany, and a modeling and simulation consultant. Having studied mathematics, physics and economics at the Universities of Gottingen and Bonn, he worked at Braunschweig Technical University (Institute of Geoecology, 1990-93) and at Erlangen University (Institute of Applied Mathematics, 1994-95). From 1996-2000, he held a post as project manager and group leader at the Fraunhofer-ITWM in Kaiserslautern (consultant projects for the industry). His research emphasizes differential equation models and is documented in 34 scientific publications and one patent.