Continuum Modeling In The Physical Sciences (monographs On Mathematical Modeling And Computation)
by Jaap Molenaar /
2007 / English / PDF
13.9 MB Download
Mathematical modeling 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 modeling 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, fiber
spinning, water waves, and waveguide optics.
Mathematical modeling 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 modeling 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, fiber
spinning, water waves, and waveguide optics.