Adaptive Multilevel And Hierarchical Computational Strategies
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Wavelets Multilevel Methods And Elliptic Pdes
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Author : M. Ainsworth
language : en
Publisher: Oxford University Press
Release Date : 1997
Wavelets Multilevel Methods And Elliptic Pdes written by M. Ainsworth and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Written at a level accessible to first-year graduate students, this book covers five major topics in numerical analysis: fast multipole methods, eigenvalue problems for differential equations, hierarchic modeling in mechanics, wavelets from filter banks, and multilevel methods. The authors are renowned experts and provide up-to-date overviews, complete with extensive bibliographies, along with new and previously unpublished material. Both students and experienced researchers will find this volume an ideal starting point for pursuing these important topics or applying the methods to their own research. The book contains proceedings from the seventh EPSRC Numerical Analysis Summer School, held in 1996.
Icase Larc Workshop On Adaptive Grid Methods
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Author :
language : en
Publisher:
Release Date : 1995
Icase Larc Workshop On Adaptive Grid Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations
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Author : Ivo Babuska
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations written by Ivo Babuska 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 Mathematics categories.
With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.
The Finite Element Method For Initial Value Problems
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2017-10-17
The Finite Element Method For Initial Value Problems written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-17 with Science categories.
Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and space-time calculus of variations are used to establish unconditional stability of space-time methods during the evolution. Space-time decoupled methods are also presented with the same rigor. Stability of space-time decoupled methods, time integration of ODEs including the finite element method in time are presented in detail with applications. Modal basis, normal mode synthesis techniques, error estimation, and a posteriori error computations for space-time coupled as well as space-time decoupled methods are presented. This book is aimed at a second-semester graduate level course in FEM.
Integrated Computational Materials Engineering Icme For Metals
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Author : Mark F. Horstemeyer
language : en
Publisher: John Wiley & Sons
Release Date : 2012-07-23
Integrated Computational Materials Engineering Icme For Metals written by Mark F. Horstemeyer 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 2012-07-23 with Science categories.
This text delivers a comprehensive overview of the methods of Integrated Computational Materials Engineering (ICME), and provides clear examples to demonstrate the multiscale modeling methodology. It walks beginners through the various aspects of modeling and simulation related to materials processing.
Practical Aspects Of Computational Chemistry
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Author : Jerzy Leszczynski
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03
Practical Aspects Of Computational Chemistry written by Jerzy Leszczynski 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 2009-10-03 with Science categories.
"Practical Aspects of Computational Chemistry" presents contributions on a range of aspects of Computational Chemistry applied to a variety of research fields. The chapters focus on recent theoretical developments which have been used to investigate structures and properties of large systems with minimal computational resources. Studies include those in the gas phase, various solvents, various aspects of computational multiscale modeling, Monte Carlo simulations, chirality, the multiple minima problem for protein folding, the nature of binding in different species and dihydrogen bonds, carbon nanotubes and hydrogen storage, adsorption and decomposition of organophosphorus compounds, X-ray crystallography, proton transfer, structure-activity relationships, a description of the REACH programs of the European Union for chemical regulatory purposes, reactions of nucleic acid bases with endogenous and exogenous reactive oxygen species and different aspects of nucleic acid bases, base pairs and base tetrads.
Numerical Mathematics And Advanced Applications
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Author : F. Brezzi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Mathematics And Advanced Applications written by F. Brezzi 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 Mathematics categories.
Scientific computing is a fast growing and fast changing area whose applications to various branches of science, engineering, medicine, economics (and others) are increasing in number and relevance every day. There are two main reasons (among others) that make scientific computing change so rapidly. One is the increasing number of different research areas beginning to make use of numerical simulation: from nanotechnology to genomics, from computer aided diagnosis and operations in medical applications (which involve often com plete simulations of parts of the human body) to economics and finance. Each new application, and each new aspect of earlier applications, draws heavily on the know how that has been acquired on other problems with similar mathematical features. It has to be pointed out that the lofty perspective of mathematics succeeds quite often in finding connections among very different phenomena, that tum out in the end to share the same mathematical and numerical structure. In tum, new applica tions contribute to the cross-fertilization by "sending back" new interpretations and suggestions which are often useful in more classical applications. All this creates a resonance effect that contributes greatly to the growth rate of the whole field.
Computational Rheology
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Author : Robert G Owens
language : en
Publisher: World Scientific
Release Date : 2002-05-29
Computational Rheology written by Robert G Owens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-29 with Mathematics categories.
Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject — problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling.Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed and up-to-date exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations.All the topics in this book are dealt with from an elementary level and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities.
Domain Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering
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Author : David E. Keyes
language : en
Publisher: SIAM
Release Date : 1995-01-01
Domain Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering written by David E. Keyes and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
This refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization. The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face this common challenge. This volume is one attempt to provide cross-disciplinary communication. Problem decomposition and the use of domain-based parallelism in computational science and engineering was the subject addressed at a workshop held at the University of Minnesota Supercomputer Institute in April 1994. The authors were subsequently able to address the relationships between their individual applications and independently developed approaches. This book is written for an interdisciplinary audience and concentrates on transferable algorithmic techniques, rather than the scientific results themselves. Cross-disciplinary editing was employed to identify jargon that needed further explanation and to ensure provision of a brief scientific background for each chapter at a tutorial level so that the physical significance of the variables is clear and correspondences between fields are visible.
Spectral Hp Element Methods For Cfd
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Author : George Karniadakis
language : en
Publisher: Oxford University Press, USA
Release Date : 1999
Spectral Hp Element Methods For Cfd written by George Karniadakis and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Finite element method categories.
This book is an essential reference for anyone interested in the use of spectral/hp element methods in fluid dynamics. It provides a comprehensive introduction to the field together with detailed examples of the methods to the incompressible and compressible Navier-Stokes equations.