Overview
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.
Full Product Details
Author: Maciej Paszynski
Publisher: Taylor & Francis Inc
Imprint: CRC Press Inc
Weight: 0.834kg
ISBN: 9781498754194
ISBN 10: 1498754198
Pages: 348
Publication Date: 01 December 2015
Audience:
College/higher education
,
College/higher education
,
Postgraduate, Research & Scholarly
,
Tertiary & Higher Education
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
The author describes how to design and implement efficient parallel multi-frontal direct solver algorithms for mesh-based computations. 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. The book's structure follows that 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. In each chapter JAVA or Fortran codes of the parallel sparse direct solver are listed. 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. The book represents 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. ~Nicola Mastronardi, Mathematical Reviews, 2017
The author describes how to design and implement efficient parallel multi-frontal direct solver algorithms for mesh-based computations. 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. The book's structure follows that 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. In each chapter JAVA or Fortran codes of the parallel sparse direct solver are listed. 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. The book represents 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. Nicola Mastronardi, Mathematical Reviews, 2017
Author Information
Maciej Paszynski, PhD, Department of Computer Science, Electronics and Telecommunications, AGH University of Science and Technology, Kraków, Poland
