Mathematical Modeling in Science and Engineering

A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.

A powerful, unified approach to mathematical and computationalmodeling in science and engineeringMathematical and computational modeling makes it possible topredict the behavior of a broad range of systems across a broadrange of disciplines. This text guides students and professionalsthrough the axiomatic approach, a powerful method that will enablethem to easily master the principle types of mathematical andcomputational models used in engineering and science. Readers willdiscover that this axiomatic approach not only enables them tosystematically construct effective models, it also enables them toapply these models to any macroscopic physical system.Mathematical Modeling in Science and Engineering focuseson models in which the processes to be modeled are expressed assystems of partial differential equations. It begins with anintroductory discussion of the axiomatic formulation of basicmodels, setting the foundation for further topics such as:* Mechanics of classical and non-classical continuous systems* Solute transport by a free fluid* Flow of a fluid in a porous medium* Multiphase systems* Enhanced oil recovery* Fluid mechanicsThroughout the text, diagrams are provided to help readersvisualize and better understand complex mathematical concepts. Aset of exercises at the end of each chapter enables readers to puttheir new modeling skills into practice. There is also abibliography in each chapter to facilitate further investigation ofindividual topics.Mathematical Modeling in Science and Engineering is idealfor both students and professionals across the many disciplines ofscience and engineering that depend on mathematical andcomputational modeling to predict and understand complexsystems.