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. INDICE: Preface Part 1 – Parallel calculators, programming and algorithms 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 full matrices 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 for symmetric and positive matrices Chapter 12 – Methods with exact orthogonalization for any matrix Chapter 13 – Methods with biorthogonalization for nonsymmetrical matrices Chapter 14 – Parallelization of Krylov methods Chapter 15 – Parallel preconditioning methods Bibliography Exercises Bibliography Index
- ISBN: 978-1-84821-581-8
- Editorial: ISTE Ltd.
- Encuadernacion: Cartoné
- Fecha Publicación: 04/12/2014
- Nº Volúmenes: 1
- Idioma: Inglés