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Continuum Modeling in the Physical Sciences : Monographs on Mathematical Modeling & Computation - E. van Groesen

Continuum Modeling in the Physical Sciences

By: E. van Groesen, Jaap Molenaar

Paperback | 12 July 2007

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Mathematical modelling-the ability to apply mathematical concepts and techniques to real-life systems-has expanded considerably over the last decades, making it impossible to cover all of its aspects in one course or textbook.

Continuum Modeling in the Physical Sciences provides an extensive exposition of the general principles and methods of this growing field with a focus on applications in the natural sciences. The authors present a thorough treatment of mathematical modelling from the elementary level to more advanced concepts. Most of the chapters are devoted to a discussion of central issues such as dimensional analysis, conservation principles, balance laws, constitutive relations, stability, robustness, and variational methods, and are accompanied by numerous real-life examples.

Readers will benefit from the exercises placed throughout the text and the Challenging Problems sections found at the ends of several chapters. The last chapter is devoted to elaborated case studies in polymer dynamics, fibre spinning, water waves, and wave-guide optics.

About the Author

E. van Groesen is a Professor in the Department of Applied Mathematics at the University of Twente, The Netherlands.

Jaap Molenaar is a Professor and Head of the Applied Mathematics Group, Biometris, at Wageningen University and Research Centre, The Netherlands.

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