Numerical methods and modeling for chemical engineers

Описание

Preface
This book is an introduction to the quantitative treatment of differential equations that arise from modeling physical phenomena in the area of chemical
engineering. It evolved from a set of notes developed for courses taught at
Virginia Polytechnic Institue and State University.
An engineer working on a mathematical project is typically not interested
in sophisticated theoretical treatments, but rather in the solution of a model and
the physical insight that the solution can give. A recent and important tool in
regard to this objective is mathematical software-preprogrammed, reliable
computer subroutines for solving mathematical problems. Since numerical methods are not infallible, a "black-box" approach of using these subroutines can be
dangerous. To utilize software effectively, one must be aware of its capabilities
and especially its limitations. This implies that the user must have at least an
intuitive understanding of how the software is designed and implemented. Thus,
although the subjects covered in this book are the same as in other texts, the
treatment is different in that it emphasizes the methods implemented in commercial software. The aim is to provide an understanding of how the subroutines
work in order to help the engineer gain maximum benefit from them.
This book outlines numerical techniques for differential equations that either
illustrate a computational property of interest or are the underlying methods of
a computer software package. The intent is to provide the reader with sufficient
background to effectively utilize mathematical software. The reader is assumed
to have a basic knowledge of mathematics, and results that require extensive
mathematical literacy are stated with proper references. Those who desire to

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