mathematical and experimental modeling of physical and biological processes

ISBN-13: 9781420073379 / Angielski / Twarda / 2009 / 298 str.

H. T. Banks; H. T. Tran

Opis

Written by highly experienced instructors, this text provides readers with a fundamental understanding of how mathematics is applied to problems in science and engineering. Taking a case study approach, the authors consider problems that arise in industrial and scientific research laboratory applications. For each problem, the authors discuss why a mathematical model is needed and what is to be accomplished with the model. The book emphasizes the design of experiments that can be used to validate the development of mathematical models. In this context, both hardware and software tools are described in detail, so that the experiments can be duplicated by the interested reader.

Spis treści

Introduction: The Iterative Modeling Process. Modeling and Inverse Problems. Mathematical and Statistical Aspects of Inverse Problems. Mass Balance and Mass Transport. Heat Conduction. Structural Modeling: Force/Moments Balance. Beam Vibrational Control and Real-Time Implementation. Wave Propagation. Size-Structured Population Models. Appendices.

O autorze

H.T. Banks, H.T. Tran