Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPIby Robert E. White
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white.
This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox.
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As a student I had the fortune of taking a course under Dr R.E. White in which he used his pre-published version of this book. It was easy to follow with sound examples that added to my understanding of the material. It takes a very hands-on approach to teaching the concepts of Computational Mathematics. If you have any familiarity with Matlab, then the book is perfect for someone trying to learn on their own. It is also structured well enough for a great introductory course on the subject.