The Solution

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Time Parallel Methods For Accelerating The Solution Of Structural Dynamics Problems

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Author : Julien Remi Cortial
language : en
Publisher: Stanford University
Release Date : 2011

Time Parallel Methods For Accelerating The Solution Of Structural Dynamics Problems written by Julien Remi Cortial and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.

The classical approach for solving evolution Partial Differential Equations (PDEs) using a parallel computer consists in first partitioning the spatial domain and assigning each subdomain to a processor to achieve space-parallelism, then advancing the solution sequentially. However, enabling parallelism along the time dimension, despite its intrinsic difficulty, can be of paramount importance to fast computations when space-parallelism is unfeasible, cannot fully exploit a massively parallel machine or when near-real-time prediction is desired. The aforementioned objective can be achieved by applying classical domain decomposition principles to the time axis. The latter is first partitioned into time-slices to be processed independently. Starting with approximate seed information that provides a set of initial conditions, the response is then advanced in parallel in each time-slice using a standard time-stepping integrator. This decomposed solution exhibits discontinuities or jumps at the time-slice boundaries if the initial guess is not accurate. Applying a Newton-like approach to the time-dependent system, a correction function is then computed to improve the accuracy of the seed values and the process is repeated until convergence is reached. Methods based on the above concept have been successfully applied to various problems but none was found to be competitive for even for the simplest of second-order hyperbolic PDEs, a class of equations that covers the field of structural dynamics among others. To overcome this difficulty, a key idea is to improve the sequential propagator used for correcting the seed values, observing that the original evolution problem and the derived corrective one are closely related. The present work first demonstrates how this insight can be brought to fruition in the context of linear oscillators, with numerical examples featuring structural models ranging from academic to more challenging large-scale ones. An extension of this method to nonlinear equations is then developed and its concrete application to geometrically nonlinear transient dynamics is presented. Finally, it is shown how the time-reversibility property that characterizes some of the above problems can be exploited to develop a new framework that provides an increased speed-up factor.

Nanocrystal

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Author : Yoshitake Masuda
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-06-28

Nanocrystal written by Yoshitake Masuda and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Science categories.

We focused on cutting-edge science and technology of Nanocrystals in this book. "Nanocrystal" is expected to lead to the creation of new materials with revolutionary properties and functions. It will open up fresh possibilities for the solution to the environmental problems and energy problems. We wish that this book contributes to bequeath a beautiful environment and valuable resources to subsequent generations.

Unique Solutions For Strategic Games

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Author : Werner Güth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Unique Solutions For Strategic Games written by Werner Güth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

This book develops a general solution concept for strategic games which resolves strategic uncertainty completely. The concept is described by a mathematically formulated solution procedure and illustrated by applying it to many interesting examples. A long nontechnical introduction tries to survey and to discuss the more technical parts of the book. The book and especially the introduction provide firm and consistent guidance for scholars of game theory. There are many open problems which could inspire further research efforts.

Building Materials

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Author : S.K. Duggal
language : en
Publisher: Routledge
Release Date : 2017-12-04

Building Materials written by S.K. Duggal and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Technology & Engineering categories.

This text on building materials includes discussion of structural clay products, rocks and stones, wood, materials for making concrete, ferrous and non-ferrous metals, and miscellaneous materials.

The Numerical Solution Of Systems Of Polynomials Arising In Engineering And Science

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Author : Andrew J Sommese
language : en
Publisher: World Scientific
Release Date : 2005-03-21

The Numerical Solution Of Systems Of Polynomials Arising In Engineering And Science written by Andrew J Sommese and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-21 with Mathematics categories.

Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.

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Author : Dennis G. Zill
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2009-12-21

written by Dennis G. Zill and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-21 with categories.

Now with a full-color design, the new Fourth Edition of Zill's Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fourth Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. New modern applications and engaging projects makes Zill's classic text a must-have text and resource for Engineering Math students!

Journal Chemical Society London

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Author : Chemical Society (Great Britain)
language : en
Publisher:
Release Date : 1863

Journal Chemical Society London written by Chemical Society (Great Britain) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1863 with Chemistry categories.

Elementary Point Set Topology

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Author : Andre L. Yandl
language : en
Publisher: Courier Dover Publications
Release Date : 2016-05-18

Elementary Point Set Topology written by Andre L. Yandl and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-18 with Mathematics categories.

This versatile, original approach, which focuses on learning to read and write proofs, serves as both an introductory treatment and a bridge between elementary calculus and more advanced courses. 2016 edition.

Transactions Of The American Institute Of Mining Engineers

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Author : American Institute of Mining Engineers
language : en
Publisher:
Release Date : 1896

Transactions Of The American Institute Of Mining Engineers written by American Institute of Mining Engineers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Mining engineering categories.

Livestock Nutrition

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Author : Gopal Krishna
language : en
Publisher: New India Publishing Agency
Release Date : 2012-01-15

Livestock Nutrition written by Gopal Krishna and has been published by New India Publishing Agency this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-15 with Medical categories.

This book entitled "Livestock Nutrition: Analytical Techniques" lucidly explain recommended and standard methods of analysis. Latest methods of Bomb calorimetry, Isothermal, Adiabatic and Ballistic, non-protein nitrogen fractions, oxalic acid in feeds and fodders, cyanides in plants, nitrate and nitrite in forages, thioglucoside in rapeseed meal, free gossypol in cottonseed meal and aflatoxins in feed have been explained in a simple and illustrative way. Additional methods of desoxyribonuleic acid (DNA) and ribonucleic acid (RNA) analysis in animal tissues, non-esterified fatty acid, total lipids in serum or plasma Iipase, blood glucose, cholesterol and urea, biuret method for protein content in wheat, fractions of total lipids eg. cholesterol, HDL and LDL cholesterol are given in a very simple way, along with examples of calculations of results. Method of urea estimation in animal feed as an adulterant is described in detail. This book provides essential information for undergraduate and postgraduate degree students in Food Science and Technology. Animal Nutrition, Animal Products Technology, Animal Feed Technology and Foods Nutrition (F&N).