Parallel Scientific Computing (eBook)

Frédéric Magoules, François-Xavier Roux, Guillaume Houzeaux (Autoren)

eBook Download: PDF | EPUB

2015 | 1. Auflage
372 Seiten
John Wiley & Sons (Verlag)
978-1-118-76171-7 (ISBN)

Infos

Scientific computing has become an indispensable tool in numerous fields, such as physics, mechanics, biology,
finance and industry. For example, it enables us, thanks to efficient algorithms adapted to current computers, to
simulate, without the help of models or experimentations, the deflection of beams in bending, the sound level in a theater room or a fluid flowing around an aircraft wing.
This book presents the scientific computing techniques applied to parallel computing for the numerical simulation of large-scale problems; these problems result from systems modeled by partial differential equations. Computing concepts will be tackled via examples.
Implementation and programming techniques resulting from the finite element method will be presented for direct solvers, iterative solvers and domain decomposition methods, along with an introduction to MPI and OpenMP.

Autor

Frdéric Magoulès is Professor at LISA / MAS école Centrale Paris, France. François-Xavier Roux is Professor at University Pierre & Marie Curie - Paris 6, France.

Inhalt

Preface

Part 1 - Parallel calculators, programming andalgorithms

Chapter 1 - Calculator architectures

Chapter 2 - Parallelization and programming models

Chapter 3 - Concepts of parallel algorithmics

Bibliography

Exercises

Part 2 - Additional numerical matrix analysis

Chapter 4 - Introduction to numerical matrix analysis

Chapter 5 - Sparse matrices

Chapter 6 - Linear system resolution

Bibliography

Exercises

Part 3 - Direct resolution methods

Chapter 7 - Linear system resolution by LU methods

Chapter 8 - Parallelization of LU methods for fullmatrices

Chapter 9 - LU methods for sparse matrices

Bibliography

Exercises

Part 4 - Iterative resolution methods

Chapter 10 - Introduction to Krylov spaces

Chapter 11 - Methods with complete orthogonalization forsymmetric and positive matrices

Chapter 12 - Methods with exact orthogonalization for anymatrix

Chapter 13 - Methods with biorthogonalization fornonsymmetrical matrices

Chapter 14 - Parallelization of Krylov methods

Chapter 15 - Parallel preconditioning methods

Bibliography

Exercises

Bibliography

Index

Produkt-Details

• Erscheint lt. Verlag: 14.12.2015
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Informatik ► Weitere Themen ► Hardware
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: Computer Engineering • Computertechnik • Electrical & Electronics Engineering • Elektrotechnik u. Elektronik • Parallelverarbeitung
• ISBN-10: 1-118-76171-5 / 1118761715
• ISBN-13: 978-1-118-76171-7 / 9781118761717