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Fast Solvers for Mesh-Based Computations (Advances in Applied Mathematics), by Maciej Paszynski
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Fast Solvers for Mesh-Based Computations presents an alternative way of constructing multi-frontal direct solver algorithms for mesh-based computations. It also describes how to design and implement those algorithms.
The book’s structure follows those of the matrices, starting from tri-diagonal matrices resulting from one-dimensional mesh-based methods, through multi-diagonal or block-diagonal matrices, and ending with general sparse matrices.
Each chapter explains how to design and implement a parallel sparse direct solver specific for a particular structure of the matrix. All the solvers presented are either designed from scratch or based on previously designed and implemented solvers.
Each chapter also derives the complete JAVA or Fortran code of the parallel sparse direct solver. The exemplary JAVA codes can be used as reference for designing parallel direct solvers in more efficient languages for specific architectures of parallel machines.
The author also derives exemplary element frontal matrices for different one-, two-, or three-dimensional mesh-based computations. These matrices can be used as references for testing the developed parallel direct solvers.
Based on more than 10 years of the author’s experience in the area, this book is a valuable resource for researchers and graduate students who would like to learn how to design and implement parallel direct solvers for mesh-based computations.
- Sales Rank: #3143654 in eBooks
- Published on: 2016-01-05
- Released on: 2016-01-05
- Format: Kindle eBook
About the Author
Maciej Paszynski, PhD, Department of Computer Science, Electronics and Telecommunications, AGH University of Science and Technology, Krak�w, Poland
Most helpful customer reviews
1 of 1 people found the following review helpful.
The book has all the elements required for a reader ...
By Marcin
The book has all the elements required for a reader to successfully implement mesh-based adaptive end-to-end solution. The author's explaining ability is remarkable as are the results he claims to achieve with his software. Although quite expensive, the book is certainly worth is price and may accelerate your research by effectively fast-forwarding your knowledge to the frontiers of the adaptive computational methods field.
0 of 0 people found the following review helpful.
Great, comprehensive book on new generation multi-frontal solvers
By Piotr
I wish this book was on the market while I was trying to familiarize myself with a subject of fast, direct solvers for problems like Finite Element Method. Certainly, there are multiple papers available, but purchasing them one by one just to find out that something was missing anyway was disappointing. This is why I've given a warm welcome to this book that is comprehensive in its nature and covers practically everything that should be said in this subject. There is a multitude of examples and clear illustrations. Efficiency comparison with the traditional solvers make it also clear that this is where the future is.
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