Multiscale Problems And Methods In Numerical Simulations

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Multiscale Problems And Methods In Numerical Simulations
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Author : James H. Bramble
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-22
Multiscale Problems And Methods In Numerical Simulations written by James H. Bramble 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 2003-10-22 with Mathematics categories.
This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. This covers the presence of multiple relevant "scales" in a physical phenomenon; the detection and representation of "structures", localized in space or in frequency, in the solution of a mathematical model; the decomposition of a function into "details" that can be organized and accessed in decreasing order of importance; and the iterative solution of systems of linear algebraic equations using "multilevel" decompositions of finite dimensional spaces.
Multiscale Problems And Methods In Numerical Simulations
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Author :
language : en
Publisher:
Release Date : 2003
Multiscale Problems And Methods In Numerical Simulations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Dynamic Multilevel Methods And The Numerical Simulation Of Turbulence
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Author : Thierry Dubois
language : en
Publisher: Cambridge University Press
Release Date : 1999-01-13
Dynamic Multilevel Methods And The Numerical Simulation Of Turbulence written by Thierry Dubois and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-13 with Mathematics categories.
This book describes the implementation of multilevel methods in a dynamical context, with application to the numerical simulation of turbulent flows. The general ideas for the algorithms presented stem from dynamical systems theory and are based on the decomposition of the unknown function into two or more arrays corresponding to different scales in the Fourier space. This timely monograph should appeal to graduate students and researchers alike, providing a background for applied mathematicians as well as engineers.
Multi Scale Phenomena In Complex Fluids Modeling Analysis And Numerical Simulations
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Author : Chun Liu
language : en
Publisher: World Scientific
Release Date : 2009-06-12
Multi Scale Phenomena In Complex Fluids Modeling Analysis And Numerical Simulations written by Chun Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-12 with Science categories.
Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of mini-courses from “Shanghai Summer School on Analysis and Numerics in Modern Sciences”, which was held in 2004 and 2006 at Fudan University, Shanghai, China.This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids.
Multiscale Methods In Science And Engineering
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Author : Björn Engquist
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Multiscale Methods In Science And Engineering written by Björn Engquist 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 2006-03-30 with Technology & Engineering categories.
Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.
Handbook Of Software Solutions For Icme
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Author : Georg J. Schmitz
language : en
Publisher: John Wiley & Sons
Release Date : 2016-09-20
Handbook Of Software Solutions For Icme written by Georg J. Schmitz and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-20 with Technology & Engineering categories.
As one of the results of an ambitious project, this handbook provides a well-structured directory of globally available software tools in the area of Integrated Computational Materials Engineering (ICME). The compilation covers models, software tools, and numerical methods allowing describing electronic, atomistic, and mesoscopic phenomena, which in their combination determine the microstructure and the properties of materials. It reaches out to simulations of component manufacture comprising primary shaping, forming, joining, coating, heat treatment, and machining processes. Models and tools addressing the in-service behavior like fatigue, corrosion, and eventually recycling complete the compilation. An introductory overview is provided for each of these different modelling areas highlighting the relevant phenomena and also discussing the current state for the different simulation approaches. A must-have for researchers, application engineers, and simulation software providers seeking a holistic overview about the current state of the art in a huge variety of modelling topics. This handbook equally serves as a reference manual for academic and commercial software developers and providers, for industrial users of simulation software, and for decision makers seeking to optimize their production by simulations. In view of its sound introductions into the different fields of materials physics, materials chemistry, materials engineering and materials processing it also serves as a tutorial for students in the emerging discipline of ICME, which requires a broad view on things and at least a basic education in adjacent fields.
Lectures On Topological Fluid Mechanics
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Author : Mitchell A. Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-05
Lectures On Topological Fluid Mechanics written by Mitchell A. Berger 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 2009-05-05 with Language Arts & Disciplines categories.
This volume contains a wide-ranging collection of valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics to DNA tangles and knotted DNAs in sedimentation.
Noncommutative Geometry
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Author : Alain Connes
language : en
Publisher: Springer
Release Date : 2003-12-15
Noncommutative Geometry written by Alain Connes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-15 with Mathematics categories.
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
The Global Theory Of Minimal Surfaces In Flat Spaces
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Author : William Meeks
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-03-25
The Global Theory Of Minimal Surfaces In Flat Spaces written by William Meeks 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 2002-03-25 with Education categories.
In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.
Quantum Cohomology
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Author : K. Behrend
language : en
Publisher: Springer
Release Date : 2004-10-12
Quantum Cohomology written by K. Behrend and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-12 with Mathematics categories.
The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-geometric point of view, to the symplectic approach, including recent developments of string-branes theories and q-hypergeometric functions.