Elliptic Marching Methods and Domain Decomposition - 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 Elliptic Marching Methods and Domain Decomposition write by Patrick J. Roache. This book was released on 1995-06-29. Elliptic Marching Methods and Domain Decomposition available in PDF, EPUB and Kindle. One of the first things a student of partial differential equations learns is that it is impossible to solve elliptic equations by spatial marching. This new book describes how to do exactly that, providing a powerful tool for solving problems in fluid dynamics, heat transfer, electrostatics, and other fields characterized by discretized partial differential equations. Elliptic Marching Methods and Domain Decomposition demonstrates how to handle numerical instabilities (i.e., limitations on the size of the problem) that appear when one tries to solve these discretized equations with marching methods. The book also shows how marching methods can be superior to multigrid and pre-conditioned conjugate gradient (PCG) methods, particularly when used in the context of multiprocessor parallel computers. Techniques for using domain decomposition together with marching methods are detailed, clearly illustrating the benefits of these techniques for applications in engineering, applied mathematics, and the physical sciences.
Oil Spill Risk Management
Oil Spill Risk Management - 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 Oil Spill Risk Management write by David E. Dietrich. This book was released on 2014-09-10. Oil Spill Risk Management available in PDF, EPUB and Kindle. This book is designed to help scientifically astute non-specialists understand basic geophysical and computational fluid dynamics concepts relating to oil spill simulations, and related modeling issues and challenges. A valuable asset to the engineer or manager working off-shore in the oil and gas industry, the authors, a team of renowned geologists and engineers, offer practical applications to mitigate any offshore spill risks, using research never before published.
Parallelism in Matrix Computations
Parallelism in Matrix Computations - 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 Parallelism in Matrix Computations write by Efstratios Gallopoulos. This book was released on 2015-07-25. Parallelism in Matrix Computations available in PDF, EPUB and Kindle. This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations. It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms. The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded ,Vandermonde ,Toeplitz ,and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike. The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.
Error Control and Adaptivity in Scientific Computing
Error Control and Adaptivity in Scientific Computing - 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 Error Control and Adaptivity in Scientific Computing write by Haydar Bulgak. This book was released on 2012-12-06. Error Control and Adaptivity in Scientific Computing available in PDF, EPUB and Kindle. One of the main ways by which we can understand complex processes is to create computerised numerical simulation models of them. Modern simulation tools are not used only by experts, however, and reliability has therefore become an important issue, meaning that it is not sufficient for a simulation package merely to print out some numbers, claiming them to be the desired results. An estimate of the associated error is also needed. The errors may derive from many sources: errors in the model, errors in discretization, rounding errors, etc. Unfortunately, this situation does not obtain for current packages and there is a great deal of room for improvement. Only if the error can be estimated is it possible to do something to reduce it. The contributions in this book cover many aspects of the subject, the main topics being error estimates and error control in numerical linear algebra algorithms (closely related to the concept of condition numbers), interval arithmetic and adaptivity for continuous models.
Domain Decomposition Methods in Science and Engineering XXII
Domain Decomposition Methods in Science and Engineering XXII - 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 Domain Decomposition Methods in Science and Engineering XXII write by Thomas Dickopf. This book was released on 2016-03-11. Domain Decomposition Methods in Science and Engineering XXII available in PDF, EPUB and Kindle. These are the proceedings of the 22nd International Conference on Domain Decomposition Methods, which was held in Lugano, Switzerland. With 172 participants from over 24 countries, this conference continued a long-standing tradition of internationally oriented meetings on Domain Decomposition Methods. The book features a well-balanced mix of established and new topics, such as the manifold theory of Schwarz Methods, Isogeometric Analysis, Discontinuous Galerkin Methods, exploitation of modern HPC architectures and industrial applications. As the conference program reflects, the growing capabilities in terms of theory and available hardware allow increasingly complex non-linear and multi-physics simulations, confirming the tremendous potential and flexibility of the domain decomposition concept.
