Homogenization Of Partial Differential Equations With Uncertain Input Data

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Homogenization Of Partial Differential Equations With Uncertain Input Data
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Author : Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky
language : en
Publisher:
Release Date : 2013
Homogenization Of Partial Differential Equations With Uncertain Input Data written by Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky 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.
Stochastic Partial Differential Equations For Computer Vision With Uncertain Data
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Author : Tobias Preusser
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Stochastic Partial Differential Equations For Computer Vision With Uncertain Data written by Tobias Preusser and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
In image processing and computer vision applications such as medical or scientific image data analysis, as well as in industrial scenarios, images are used as input measurement data. It is good scientific practice that proper measurements must be equipped with error and uncertainty estimates. For many applications, not only the measured values but also their errors and uncertainties, should be—and more and more frequently are—taken into account for further processing. This error and uncertainty propagation must be done for every processing step such that the final result comes with a reliable precision estimate. The goal of this book is to introduce the reader to the recent advances from the field of uncertainty quantification and error propagation for computer vision, image processing, and image analysis that are based on partial differential equations (PDEs). It presents a concept with which error propagation and sensitivity analysis can be formulated with a set of basic operations. The approach discussed in this book has the potential for application in all areas of quantitative computer vision, image processing, and image analysis. In particular, it might help medical imaging finally become a scientific discipline that is characterized by the classical paradigms of observation, measurement, and error awareness. This book is comprised of eight chapters. After an introduction to the goals of the book (Chapter 1), we present a brief review of PDEs and their numerical treatment (Chapter 2), PDE-based image processing (Chapter 3), and the numerics of stochastic PDEs (Chapter 4). We then proceed to define the concept of stochastic images (Chapter 5), describe how to accomplish image processing and computer vision with stochastic images (Chapter 6), and demonstrate the use of these principles for accomplishing sensitivity analysis (Chapter 7). Chapter 8 concludes the book and highlights new research topics for the future.
Quantification Of Uncertainty Improving Efficiency And Technology
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Author : Marta D'Elia
language : en
Publisher: Springer Nature
Release Date : 2020-07-30
Quantification Of Uncertainty Improving Efficiency And Technology written by Marta D'Elia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-30 with Mathematics categories.
This book explores four guiding themes – reduced order modelling, high dimensional problems, efficient algorithms, and applications – by reviewing recent algorithmic and mathematical advances and the development of new research directions for uncertainty quantification in the context of partial differential equations with random inputs. Highlighting the most promising approaches for (near-) future improvements in the way uncertainty quantification problems in the partial differential equation setting are solved, and gathering contributions by leading international experts, the book’s content will impact the scientific, engineering, financial, economic, environmental, social, and commercial sectors.
Uncertainty Quantification For Hyperbolic And Kinetic Equations
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Author : Shi Jin
language : en
Publisher: Springer
Release Date : 2018-03-20
Uncertainty Quantification For Hyperbolic And Kinetic Equations written by Shi Jin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-20 with Mathematics categories.
This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts.
Singular Phenomena And Scaling In Mathematical Models
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Author : Michael Griebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-18
Singular Phenomena And Scaling In Mathematical Models written by Michael Griebel 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 2013-11-18 with Computers categories.
The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book is divided into the three sections: A) Scaling limits of diffusion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena. Each section addresses the key aspects of multiple scales and model hierarchies, singularities and degeneracies, and scaling laws and self-similarity.
Proceedings Of The Joint International Conference 10th Textile Conference And 4th Conference On Engineering And Entrepreneurship
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Author : Genti Guxho
language : en
Publisher: Springer Nature
Release Date : 2024-01-09
Proceedings Of The Joint International Conference 10th Textile Conference And 4th Conference On Engineering And Entrepreneurship written by Genti Guxho and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-09 with Technology & Engineering categories.
This proceedings book encompass a wide range of significant topics within the realms of Technologies, Engineering, Management, and Production, Entrepreneurship, Materials, Textiles, Fashion, and more. The book delves into various areas of Energetics, exploring aspects such as power production, solar power, wind turbines, advanced energetics technologies, energy resource efficiency, global warming and emissions, clean and renewable energies, as well as economic development, global warming, and environmental protections. The Constructions and Transport section features discussions on numerical methods for data manipulation, construction science and technology, transport systems, modeling of transport systems, intelligent transport, traffic management and safety. The Materials segment addresses materials science and application, biopolymers and biotechnology, metallic and composite materials, metallurgical engineering, recycling, manufacturing, and processing of various materials suchas paper, plastics, rubber, glass, ceramics, and more. Management and Production topics include technology management, logistic and supply chain management, total quality management, knowledge and innovation management, financial management, marketing research and strategy, industrial marketing, operational research, project management, as well as information technology in enterprises, e-activities, and e-commerce. The book also features an extensive section dedicated to Textiles, covering textile processing and testing, technological advances in the textile industry, ecology and environment in textile production, fiber physics and textile mechanics, finishing, dyeing, and treatment techniques, modeling and simulation, smart and interactive textiles, technical and protective textiles, textile design, fashion, and garment manufacturing, innovations in textile education, as well as leather and footwear technologies.
Multiscale Simulations And Mechanics Of Biological Materials
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Author : Shaofan Li
language : en
Publisher: John Wiley & Sons
Release Date : 2013-03-19
Multiscale Simulations And Mechanics Of Biological Materials written by Shaofan Li 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 2013-03-19 with Technology & Engineering categories.
Multiscale Simulations and Mechanics of Biological Materials A compilation of recent developments in multiscale simulation and computational biomaterials written by leading specialists in the field Presenting the latest developments in multiscale mechanics and multiscale simulations, and offering a unique viewpoint on multiscale modelling of biological materials, this book outlines the latest developments in computational biological materials from atomistic and molecular scale simulation on DNA, proteins, and nano-particles, to meoscale soft matter modelling of cells, and to macroscale soft tissue and blood vessel, and bone simulations. Traditionally, computational biomaterials researchers come from biological chemistry and biomedical engineering, so this is probably the first edited book to present work from these talented computational mechanics researchers. The book has been written to honor Professor Wing Liu of Northwestern University, USA, who has made pioneering contributions in multiscale simulation and computational biomaterial in specific simulation of drag delivery at atomistic and molecular scale and computational cardiovascular fluid mechanics via immersed finite element method. Key features: Offers a unique interdisciplinary approach to multiscale biomaterial modelling aimed at both accessible introductory and advanced levels Presents a breadth of computational approaches for modelling biological materials across multiple length scales (molecular to whole-tissue scale), including solid and fluid based approaches A companion website for supplementary materials plus links to contributors’ websites (www.wiley.com/go/li/multiscale)
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2008
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Cities And Their Vital Systems
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Author : Advisory Committee on Technology and Society
language : en
Publisher: National Academies Press
Release Date : 1989
Cities And Their Vital Systems written by Advisory Committee on Technology and Society and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Social Science categories.
Cities and Their Vital Systems asks basic questions about the longevity, utility, and nature of urban infrastructures; analyzes how they grow, interact, and change; and asks how, when, and at what cost they should be replaced. Among the topics discussed are problems arising from increasing air travel and airport congestion; the adequacy of water supplies and waste treatment; the impact of new technologies on construction; urban real estate values; and the field of "telematics," the combination of computers and telecommunications that makes money machines and national newspapers possible.
Iutam Symposium On Microstructure Property Interactions In Composite Materials
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Author : R. Pyrz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Iutam Symposium On Microstructure Property Interactions In Composite Materials written by R. Pyrz 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 Technology & Engineering categories.
The IUT AM Symposium on Microstructure Property Interactions in Composite Ma- rials was held during the dates 22nd to 25th August 1994 in Rebild Bakker Conference Centre, situated in the heart of one of Denmark's most beautiful natural areas. Participation in the Symposium was reserved for invited participants, suggested by members of the Scientific Committee. The cooperation with the Scientific Committee is highly appreciated. The Symposium brought together 76 researchers from 15 countries representing a broad range of backgrounds relevant to the topic of the meeting. The participants represented the disciplines of materials science and engineering, applied mechanics, applied mathematics and scientific computations. The Symposium comprehensively addressed the analytical, numerical and experimental methods that provide an estimation of the overall, effective properties from microstructural data. The 41 contributions emphasized the significance of the microstructure morphology in understanding the nature and origin of a multitude of properties such as viscoelasticity, plasticity, strength and fracture for a variety of polymer, metal and ceramic based composite materials. Specifically, the Symposium examined and reviewed the current state of the art of micromechanical modelling, experimental investigations and morphological qu- tification of composite materials' microstructure. The volume contains 35 papers published in an alphabetic order after the name of the first author. Much to regret of the Scientific Committee some manuscripts were not submitted. The financial support of the IUT AM, the Obels Family Foundation and the Institute of Mechanical Engineering, Aalborg University, is gratefully acknowledged.