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Solving Numerical PDEs: Problems, Applications, Exercises
This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods for Partial Differential Equations given to undergraduate and graduate students of Politecnico di Milano (Italy), EPFL Lausanne (Switzerland), University of Bergamo (Italy) and Emory University (Atlanta, USA). It aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right trade-off between theoretical concepts and their actual use in practice. With this collection of examples and exercises we try to address this issue by illustrating "academi...
Domain Decomposition Methods in Science and Engineering XVII
Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. This volume contains selected papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering. It presents the newest domain decomposition techniques and examines their use in the modeling and simulation of complex problems.
Domain Decomposition Methods in Science and Engineering XXI
This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012. Domain decomposition is an active and interdisciplinary research discipline, focusing on the development, analysis and implementation of numerical methods for massively parallel computers. Domain decomposition methods are among the most efficient solvers for large scale applications in science and engineering. They are based on a solid theoretical foundation and shown to be scalable for many important applications. Domain decomposition techniques can also naturally take into account multiscale phenomena. This book contains the most recent results in this important field of research, both mathematically and algorithmically and allows the reader to get an overview of this exciting branch of numerical analysis and scientific computing.
Numerical Control: Part B
Numerical Control: Part B, Volume 24 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Control problems in the coefficients and the domain for linear elliptic equations, Computational approaches for extremal geometric eigenvalue problems, Non-overlapping domain decomposition in space and time for PDE-constrained optimal control problems on networks, Feedback Control of Time-dependent Nonlinear PDEs with Applications in Fluid Dynamics, Stabilization of the Navier-Stokes equations - Theoretical and numerical aspects, Reconstruction...
Ampyrium
Welcome to Ampyrium, a city of a thousand wonders! May the trading be always in your favor. Powerful magicians called the Magnum have created a massive city contained within eight walls, each with its own portal to another world. Here, eight different magical lands collide. In these streets, all of the races from those worlds come to trade, to politic, to carouse, and to murder. Merchants and royalty, thieves and assassins; caravans and envoys, armies and entourages. Everyone...and everything...can be found in Ampyrium. Every dream can be made real. Every vice is available. Every wish can be fulfilled. All you have to do is stay clear of the Magnum...and their Eyes are everywhere. Enter the streets of AMPYRIUM with your guides in tow—authors Joshua Palmatier, Juliet E. McKenna, David B. Coe, Esther Friesner, Patricia Bray, S.C. Butler, and Jason Palmatier. Eight stunning worlds await you. But beware. Don’t stray. Don’t fall behind. Don’t get lost. Because the streets of Ampyrium will swallow you whole.
Domain Decomposition Methods in Science and Engineering XXVI
These are the proceedings of the 26th International Conference on Domain Decomposition Methods in Science and Engineering, which was hosted by the Chinese University of Hong Kong and held online in December 2020. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2020.
Iterative Methods and Preconditioners for Systems of Linear Equations
Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives c...
Multilingualism, Literacy and Dyslexia
This timely book provides: current and informative guidance for practitioners involved in areas of literacy, multilingualism and dyslexia, invaluable advice on assessment and support for bilingual learners and those needing to acquire a modern foreign language, an essential text for staff development in this area, reference to innovative approaches in technology and other teaching programs beneficial to multilingual learners, advice on learning additional languages. With contributions from international practitioners and researchers, this book will provide guidance to anyone involved in literacy development, language learning and teaching
