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Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI
 
 

Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI [Hardcover]

Robert E. White (Author)
3.3 out of 5 stars  See all reviews (3 customer reviews)

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Book Description

1584883642 978-1584883647 September 17, 2003 1
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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Editorial Reviews

Review

Overall this book is not just about mathematics, not just about computing, and not just about applications, but about computational science. One interesting characteristic of this book is the writing style…another interesting thing found in this book is an abundance of MATLAB® code…this book is suitable for an undergraduate level topics course.
-Zentralblatt MATH

Product Details

  • Hardcover: 408 pages
  • Publisher: Chapman and Hall/CRC; 1 edition (September 17, 2003)
  • Language: English
  • ISBN-10: 1584883642
  • ISBN-13: 978-1584883647
  • Product Dimensions: 9.4 x 6 x 1.1 inches
  • Shipping Weight: 1.5 pounds (View shipping rates and policies)
  • Average Customer Review: 3.3 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #883,493 in Books (See Top 100 in Books)

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Average Customer Review
3.3 out of 5 stars (3 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

5 of 6 people found the following review helpful:
3.0 out of 5 stars Not really a general methods book, July 25, 2006
By 
D. Hundley (Walla Walla, WA United States) - See all my reviews
(REAL NAME)   
This review is from: Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI (Hardcover)
I picked up this book to see if it would be useful in a numerical methods course, but I found that it was much too specific - This is a book on numerical methods for PDEs, and not a general methods text. If you are interested in PDE models, then this might be a useful book for you- The authors do include some interesting applications.
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1 of 1 people found the following review helpful:
4.0 out of 5 stars Good book, a bit too specific, January 22, 2011
By 
Zach Clawson (Manteo, NC, US) - See all my reviews
This review is from: Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI (Hardcover)
This is overall a good book if you're interested in specific examples in numerical analysis and possibly using parallel processing (message passing interface methods) for such problems. If you're trying to get a more general idea about numerical analysis, try Burden.
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0 of 1 people found the following review helpful:
3.0 out of 5 stars I hope you're buying this for class, December 1, 2010
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This review is from: Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI (Hardcover)
I hope you're buying this for class. Otherwise, the book is probably not the best written on the subject. The sections are a tough read. I'm not a math major, so maybe that's why I find it so difficult, but the organization and clarity could probably be improved as well.
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Inside This Book (learn more)
First Sentence:
The first three sections introduce diffusion of heat in one direction. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
grid communicator, call mpibarrier, local dot products, payoff obstacle, heat diffusion model, explicit finite difference model, mpi beast, first order finite difference method, partial dot products, positive diagonal components, ierr integer, upper triangular solve, domain decomposition order, mpi status size, mpi subroutines, tridiagonal algorithm, command slice, optimal exercise times, endloop endloop, implicit none, new coefficient matrix, heat diffusion problem, put option contract, vector pipe, root processor
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Applied Area Consider, Curt Vogel, Introduction Consider, Steady State Theorem, Dept of Mathematical Sciences, Montana State University, North Carolina Supercomputing Center, Regularized Solution, Unstable Computation, Use Picard
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