Reduced Basis Methods For Partial Differential Equations With Stochastic Influences
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Reduced Basis Methods For Partial Differential Equations With Stochastic Influences
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Author : Bernhard Wieland
language : de
Publisher:
Release Date : 2013
Reduced Basis Methods For Partial Differential Equations With Stochastic Influences written by Bernhard Wieland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Model Reduction And Approximation
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Author : Peter Benner
language : en
Publisher: SIAM
Release Date : 2017-07-06
Model Reduction And Approximation written by Peter Benner and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-06 with Science categories.
Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems. Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework. It is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods. It also covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).?? This book is intended for researchers interested in model reduction and approximation, particularly graduate students and young researchers.
Model Order Reduction And Applications
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Author : Michael Hinze
language : en
Publisher: Springer Nature
Release Date : 2023-06-20
Model Order Reduction And Applications written by Michael Hinze and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-20 with Mathematics categories.
This book addresses the state of the art of reduced order methods for modelling and computational reduction of complex parametrised systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in various fields. Consisting of four contributions presented at the CIME summer school, the book presents several points of view and techniques to solve demanding problems of increasing complexity. The focus is on theoretical investigation and applicative algorithm development for reduction in the complexity – the dimension, the degrees of freedom, the data – arising in these models. The book is addressed to graduate students, young researchers and people interested in the field. It is a good companion for graduate/doctoral classes.
Scientific Computing In Electrical Engineering
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Author : Andreas Bartel
language : en
Publisher: Springer
Release Date : 2016-05-09
Scientific Computing In Electrical Engineering written by Andreas Bartel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-09 with Mathematics categories.
This book is a collection of selected papers presented at the 10th International Conference on Scientific Computing in Electrical Engineering (SCEE), held in Wuppertal, Germany in 2014. The book is divided into five parts, reflecting the main directions of SCEE 2014: 1. Device Modeling, Electric Circuits and Simulation, 2. Computational Electromagnetics, 3. Coupled Problems, 4. Model Order Reduction, and 5. Uncertainty Quantification. Each part starts with a general introduction followed by the actual papers. The aim of the SCEE 2014 conference was to bring together scientists from academia and industry, mathematicians, electrical engineers, computer scientists, and physicists, with the goal of fostering intensive discussions on industrially relevant mathematical problems, with an emphasis on the modeling and numerical simulation of electronic circuits and devices, electromagnetic fields, and coupled problems. The methodological focus was on model order reduction and uncertainty quantification. this book="" will="" appeal="" to="" mathematicians="" and="" electrical="" engineers.="" it="" offers="" a="" valuable="" starting="" point="" for="" developers="" of="" algorithms="" programs="" who="" want="" learn="" about="" recent="" advances="" in="" other="" fields="" as="" well="" open="" problems="" coming="" from="" industry.="" moreover,="" be="" use="" representatives="" industry="" with="" an="" interest="" new="" program="" tools="" mathematical="" methods.
Nonlinear Functional Analysis And Its Applications
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Author : E. Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
Nonlinear Functional Analysis And Its Applications written by E. Zeidler 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 2013-12-11 with Science categories.
As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.
Computational Life Sciences Ii
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Author : Michael R. Berthold
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-21
Computational Life Sciences Ii written by Michael R. Berthold 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 2006-09-21 with Computers categories.
This book constitutes the refereed proceedings of the Second International Symposium on Computational Life Sciences, CompLife 2006. The 25 revised full papers presented were carefully reviewed and selected from 56 initial submissions. The papers are organized in topical sections on genomics, data mining, molecular simulation, molecular informatics, systems biology, biological networks/metabolism, and computational neuroscience.
Information Science For Materials Discovery And Design
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Author : Turab Lookman
language : en
Publisher: Springer
Release Date : 2015-12-12
Information Science For Materials Discovery And Design written by Turab Lookman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-12 with Technology & Engineering categories.
This book deals with an information-driven approach to plan materials discovery and design, iterative learning. The authors present contrasting but complementary approaches, such as those based on high throughput calculations, combinatorial experiments or data driven discovery, together with machine-learning methods. Similarly, statistical methods successfully applied in other fields, such as biosciences, are presented. The content spans from materials science to information science to reflect the cross-disciplinary nature of the field. A perspective is presented that offers a paradigm (codesign loop for materials design) to involve iteratively learning from experiments and calculations to develop materials with optimum properties. Such a loop requires the elements of incorporating domain materials knowledge, a database of descriptors (the genes), a surrogate or statistical model developed to predict a given property with uncertainties, performing adaptive experimental design to guide the next experiment or calculation and aspects of high throughput calculations as well as experiments. The book is about manufacturing with the aim to halving the time to discover and design new materials. Accelerating discovery relies on using large databases, computation, and mathematics in the material sciences in a manner similar to the way used to in the Human Genome Initiative. Novel approaches are therefore called to explore the enormous phase space presented by complex materials and processes. To achieve the desired performance gains, a predictive capability is needed to guide experiments and computations in the most fruitful directions by reducing not successful trials. Despite advances in computation and experimental techniques, generating vast arrays of data; without a clear way of linkage to models, the full value of data driven discovery cannot be realized. Hence, along with experimental, theoretical and computational materials science, we need to add a “fourth leg’’ to our toolkit to make the “Materials Genome'' a reality, the science of Materials Informatics.
Advances In Visualization And Optimization Techniques For Multidisciplinary Research
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Author : Dean Vucinic
language : en
Publisher: Springer Nature
Release Date : 2019-09-27
Advances In Visualization And Optimization Techniques For Multidisciplinary Research written by Dean Vucinic and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-27 with Technology & Engineering categories.
This volume presents several multidisciplinary approaches to the visual representation of data acquired from experiments. As an expansion of these approaches, it is also possible to include data examination generated by mathematical-physical modeling. Imaging Systems encompass any subject related to digital images, from fundamental requirements for a correct image acquisition to computational algorithms that make it possible to obtain relevant information for image analysis. In this context, the book presents selected contributions of a special session at the Conference on Advanced Computational Engineering and Experimenting (ACE-X) 2016.
Concise Dictionary Of Mathematics
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Author : EDITORIAL BOARD
language : en
Publisher: V&S Publishers
Release Date : 2015-06-01
Concise Dictionary Of Mathematics written by EDITORIAL BOARD and has been published by V&S Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-01 with Reference categories.
Remarkable progress continues to be made in mathematical sciences. This advancement has made inter-relationships amongst various branches within mathematics and with other branches of science highly evolving; leading to newer 'terms' being invented and getting added. These additions make mathematics a little more complex. Emerging complexity translates into more difficulties for students in grasping the problem. And what makes the comprehension problematic? It is the introduction of 'terms', their definition and how to apply them in physical, chemical, biological, biotechnology, and social sciences works. And if these terms are not adequately explained, students and other interested readers face a herculean task in understanding what the question is all about, and unless readers clearly understand the terminology, finding a solution is next to impossible. This book contains mathematical terms related to arithmetic, algebra, trigonometry, geometry, analytic geometry, differential & integral calculus and differential equations, probability, statistics, logic etc. Appendices in the form of important formulas from algebra, geometry, trigonometry, calculus, logarithms and antilogarithms have been added. A few entries contain cross references indicating where to find further applications of the topic under discussion. It is an ideal manual for mathematics complete with illustrative diagrams and formulas. Inclusion of Greek Alphabets, metric systems and other useful mathematical symbols in the book helps make the dictionary a complete mathematical reference tool.
Numerical Methods And Advanced Simulation In Biomechanics And Biological Processes
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Author : Miguel Cerrolaza
language : en
Publisher: Academic Press
Release Date : 2017-12-28
Numerical Methods And Advanced Simulation In Biomechanics And Biological Processes written by Miguel Cerrolaza and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-28 with Technology & Engineering categories.
Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes covers new and exciting modeling methods to help bioengineers tackle problems for which the Finite Element Method is not appropriate. The book covers a wide range of important subjects in the field of numerical methods applied to biomechanics, including bone biomechanics, tissue and cell mechanics, 3D printing, computer assisted surgery and fluid dynamics. Modeling strategies, technology and approaches are continuously evolving as the knowledge of biological processes increases. Both theory and applications are covered, making this an ideal book for researchers, students and R&D professionals. - Provides non-conventional analysis methods for modeling - Covers the Discrete Element Method (DEM), Particle Methods (PM), MessLess and MeshFree Methods (MLMF), Agent-Based Methods (ABM), Lattice-Boltzmann Methods (LBM) and Boundary Integral Methods (BIM) - Includes contributions from several world renowned experts in their fields - Compares pros and cons of each method to help you decide which method is most applicable to solving specific problems