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Название: Computational mathematics: models, methods, and analysis with MATLAB and MPI
Автор: White R.E.
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 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.