Computational mathematics: models, methods and analysis with MATLAB and MPI
Computational science supplements the traditional laboratory and theoretical methods of scientific investigation by providing mathematical models whose solutions can be approximated by computer simulations. By adjusting a model and running more simulations, we gain insight into the application under investigation. Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explore 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 a 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 principles 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 all three—in other words, computational science. It can be used as a textbook for first-year college students, for self-study, or as a reference. It gives you the background to make numerical modeling and simulation essential parts of your toolbox for doing research.
Computational mathematics: models, methods and analysis with MATLAB and MPI PDF
Author(s): Robert E. White
Publisher: Chapman & Hall, Year: 2003
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