Numerical Solution of Partial Differential Equations on Parallel Computers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Solution of Partial Differential Equations on Parallel Computers write by Are Magnus Bruaset. This book was released on 2006-03-05. Numerical Solution of Partial Differential Equations on Parallel Computers available in PDF, EPUB and Kindle. Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.
Solving Partial Differential Equations on Parallel Computers
Solving Partial Differential Equations on Parallel Computers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solving Partial Differential Equations on Parallel Computers write by Jianping Zhu. This book was released on 1994. Solving Partial Differential Equations on Parallel Computers available in PDF, EPUB and Kindle. This is an introductory book on supercomputer applications written by a researcher who is working on solving scientific and engineering application problems on parallel computers. The book is intended to quickly bring researchers and graduate students working on numerical solutions of partial differential equations with various applications into the area of parallel processing.The book starts from the basic concepts of parallel processing, like speedup, efficiency and different parallel architectures, then introduces the most frequently used algorithms for solving PDEs on parallel computers, with practical examples. Finally, it discusses more advanced topics, including different scalability metrics, parallel time stepping algorithms and new architectures and heterogeneous computing networks which have emerged in the last few years of high performance computing. Hundreds of references are also included in the book to direct interested readers to more detailed and in-depth discussions of specific topics.
Solution of Partial Differential Equations on Vector and Parallel Computers
Solution of Partial Differential Equations on Vector and Parallel Computers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solution of Partial Differential Equations on Vector and Parallel Computers write by James M. Ortega. This book was released on 1985-09-01. Solution of Partial Differential Equations on Vector and Parallel Computers available in PDF, EPUB and Kindle. Mathematics of Computing -- Parallelism.
Advanced Topics in Computational Partial Differential Equations
Advanced Topics in Computational Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advanced Topics in Computational Partial Differential Equations write by Hans Petter Langtangen. This book was released on 2012-09-22. Advanced Topics in Computational Partial Differential Equations available in PDF, EPUB and Kindle. A gentle introduction to advanced topics such as parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to ‘compute’ solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment - some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through to discretization methods, algorithms, software design, verification, and computational examples. Suitable for readers with a background in basic finite element and finite difference methods for partial differential equations.
Numerical solution of partial differential equations on parallel computers
Numerical solution of partial differential equations on parallel computers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical solution of partial differential equations on parallel computers write by Olav Dahl. This book was released on 1976. Numerical solution of partial differential equations on parallel computers available in PDF, EPUB and Kindle.
