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Incorporating new topics and original material, Introduction to Finite and Spectral Element Methods Using MATLAB^(r), Second Edition enables readers to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Readers gain hands-on computational experience by using the free online FSELIB library of MATLAB^(r) functions and codes. With the book as a user guide, readers can immediately run the codes and graphically display solutions to a variety of elementary and...

This book offers a venue for rapidly learning the language of C++ by concisely revealing its grammar, syntax and main features, and by explaining the key ideas behind object oriented programming (OOP) with emphasis on scientific computing. The book reviews elemental concepts of computers and computing, describes the primary features of C++, illustrates the use of pointers and user-defined functions, analyzes the construction of classes, and discusses graphics programming based on VOGLE and OpenGL. In short, the book is a basic, concise introduction to C++ programming for everyone from...

The fractional Laplacian, also called the Riesz fractional derivative, describes an unusual diffusion process associated with random excursions. The Fractional Laplacian explores applications of the fractional Laplacian in science, engineering, and other areas where long-range interactions and conceptual or physical particle jumps resulting in an irregular diffusive or conductive flux are encountered.

• Presents the material at a level suitable for a broad audience of scientists and engineers with rudimentary background in ordinary differential...

While the extensible markup language (XML) has received a great deal of attention in web programming and software engineering, far less attention has been paid to XML in mainstream computational science and engineering. Correcting this imbalance, XML in Scientific Computing introduces XML to scientists and engineers in a way that illustrates the similarities and differences with traditional programming languages and suggests new ways of saving and sharing the results of scientific calculations.

The author discusses XML in the context of scientific computing,...

This book offers a venue for rapidly learning the language of C++ by concisely revealing its grammar, syntax and main features, and by explaining the key ideas behind object oriented programming (OOP) with emphasis on scientific computing. The book reviews elemental concepts of computers and computing, describes the primary features of C++, illustrates the use of pointers and user-defined functions, analyzes the construction of classes, and discusses graphics programming based on VOGLE and OpenGL. In short, the book is a basic, concise introduction to C++ programming for everyone from...

Spanning biological, mathematical, computational, and engineering sciences, computational biofluiddynamics addresses a diverse family of problems involving fluid flow inside and around living organisms, organs, tissue, biological cells, and other biological materials. Computational Hydrodynamics of Capsules and Biological Cells provides a comprehensive, rigorous, and current introduction to the fundamental concepts, mathematical formulation, alternative approaches, and predictions of this evolving field.

In the first several chapters on boundary-element,...