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Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion, Habib Ammari, Yves Capdeboscq, Hyeonbae Kang


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Автор: Habib Ammari, Yves Capdeboscq, Hyeonbae Kang
Название:  Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion
ISBN: 9780821869291
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 0821869299
Обложка/Формат: Paperback
Страницы: 144
Вес: 0.00 кг.
Дата издания: 30.09.2012
Серия: Contemporary mathematics
Язык: English
Иллюстрации: Illustrations
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Applied mathematics
Подзаголовок: From modelling, to mathematical analysis, to inversion
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Поставляется из: Англии
Описание: This volume contains the proceedings of the conference “Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion, held June 28-July 1, 2011, at the University of Oxford.<br><br> The mathematical analysis of PDE modelling materials, or tissues, presenting multiple scales has been an active area of research for more than 40 years. The study of the corresponding imaging, or reconstruction, problem is a more recent one. If the material parameters of the PDE present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyse, or compute. Similar difficulties occur in time dependent equations in high frequency regimes. Over the last decade the analysis of the inversion problem at moderate frequencies, the rigourous derivation of asymptotics at high frequencies, and the regularity properties of solutions of elliptic PDE in highly heterogeneous media have received a lot of attention.<br><br> The focus of this volume is on recent progress towards a complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies. The volume also includes contributions on the inverse problem, both on its analysis and on numerical reconstructions. It offers the reader a good overview of current research and direction for further pursuit on multiscale problems, both in PDE and in signal processing, and in the analysis of the equations or the computation of their solutions. Special attention is devoted to new models and problems coming from physics leading to innovative imaging methods.

Mathematical Foundations of Imaging, Tomography and Wavefield Inversion

Автор: Devaney
Название: Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
ISBN: 052111974X ISBN-13(EAN): 9780521119740
Издательство: Cambridge Academ
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Цена: 55970.00 T
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Описание: Combining theory with numerous MATLAB based examples, this text provides a clear and systematic treatment of the mathematical and physical foundations of imaging and wavefield inversion. Key areas of discussion include Green function and the concept of field time reversal. It will appeal to graduate students and researchers alike.

Full Seismic Waveform Modelling and Inversion

Автор: Andreas Fichtner
Название: Full Seismic Waveform Modelling and Inversion
ISBN: 364226607X ISBN-13(EAN): 9783642266072
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book develops and describes state of the art methodologies covering all aspects of full waveform tomography. It provides a variety of case studies on all scales from local to global based on a large number of examples involving real data.

Imaging, Multi-scale and High Contrast Partial Differential Equations

Автор: Habib Ammari, Yves Capdeboscq, Hyeonbae Kang, Imbo Sim
Название: Imaging, Multi-scale and High Contrast Partial Differential Equations
ISBN: 1470419238 ISBN-13(EAN): 9781470419233
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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Описание: This volume contains the proceedings of the Seoul ICM 2014 Satellite Conference on Imaging, Multi-scale and High-Contrast PDEs, held in 2014. The focus of this volume is on recent progress towards complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies.

Spherical and Plane Integral Operators for PDEs: Construction, Analysis, and Applications

Автор: Karl K. Sabelfeld, Irina A. Shalimova
Название: Spherical and Plane Integral Operators for PDEs: Construction, Analysis, and Applications
ISBN: 3110315297 ISBN-13(EAN): 9783110315295
Издательство: Walter de Gruyter
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Цена: 185890.00 T
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Описание: The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.

Particle Methods For Multi-Scale And Multi-Physics

Автор: Liu Moubin Et Al
Название: Particle Methods For Multi-Scale And Multi-Physics
ISBN: 9814571695 ISBN-13(EAN): 9789814571692
Издательство: World Scientific Publishing
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Цена: 141510.00 T
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Описание: Multi-scale and multi-physics modeling is useful and important for all areas in engineering and sciences. Particle Methods for Multi-Scale and Multi-Physics systematically addresses some major particle methods for modeling multi-scale and multi-physical problems in engineering and sciences. It contains different particle methods from atomistic scales to continuum scales, with emphasis on molecular dynamics (MD), dissipative particle dynamics (DPD) and smoothed particle hydrodynamics (SPH).This book covers the theoretical background, numerical techniques and many interesting applications of the particle methods discussed in this text, especially in: micro-fluidics and bio-fluidics (e.g., micro drop dynamics, movement and suspension of macro-molecules, cell deformation and migration); environmental and geophysical flows (e.g., saturated and unsaturated flows in porous media and fractures); and free surface flows with possible interacting solid objects (e.g., wave impact, liquid sloshing, water entry and exit, oil spill and boom movement). The presented methodologies, techniques and example applications will benefit students, researchers and professionals in computational engineering and sciences.

Earthquake Statistical Analysis through Multi–state Modeling

Автор: Irene Votsi, Nikolaos Limnios, Eleftheria Papadimi
Название: Earthquake Statistical Analysis through Multi–state Modeling
ISBN: 1786301504 ISBN-13(EAN): 9781786301505
Издательство: Wiley
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Цена: 146730.00 T
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Описание: States increasingly delegate regulatory and police functions to internet intermediaries. This may lead to interference with the right to freedom of expression. In a time when these issues are of particular relevance, Intermediary liability and freedom of expression in the EU provides the reader with a framework to protect the freedom of expression in an online world.

Optimal Structural Design: Contact Problems and High-Speed Penetration

Автор: Nikolay V. Banichuk, Svetlana Yu. Ivanova
Название: Optimal Structural Design: Contact Problems and High-Speed Penetration
ISBN: 3110530805 ISBN-13(EAN): 9783110530803
Издательство: Walter de Gruyter
Цена: 123910.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.

Contents
Part I: Quasi-statics of contact interaction
Optimal contact pressure and optimal punch shape
Influence of forces applied outside contact region
Shape optimization of punch moving with friction
Optimization in contact problems under incomplete data
Application of probabilistic data
Minimization of material wear
Multiobjective optimization of contact pressure, wear of material, and energy dissipation

Part II: High-speed penetration into deformable medium
Optimization of impactor shape
Strikers of nonaxisymmetric optimal shape
Multiobjective optimization of rigid shell
Optimization of truncated rotating strikers
Penetration into solid medium under strength constraints
Some problems of global multipurpose structural optimization
Analytical and numerical estimations of optimal parameters of layered slab
Striker shape optimization using condition of minimal ballistic limit velocity for layered slabs

Part III: Appendices
Nonadditive functionals and extremum conditions
Multivariant estimation of functionals and their sensitivity
Basic ideas of multicriteria optimization
Evolutionary algorithm of global optimization


Stochastic PDEs and Dynamics

Автор: Boling Guo, Hongjun Gao, Xueke Pu
Название: Stochastic PDEs and Dynamics
ISBN: 3110495104 ISBN-13(EAN): 9783110495102
Издательство: Walter de Gruyter
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Цена: 123910.00 T
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Описание: This book explains mathematical theories of a collection of stochastic partial differential equations and their dynamical behaviors. Based on probability and stochastic process, the authors discuss stochastic integrals, Ito formula and Ornstein-Uhlenbeck processes, and introduce theoretical framework for random attractors. With rigorous mathematical deduction, the book is an essential reference to mathematicians and physicists in nonlinear science. Contents: PreliminariesThe stochastic integral and It formulaOU processes and SDEsRandom attractorsApplicationsBibliographyIndex

An Introduction to Computational Stochastic PDEs

Автор: Lord
Название: An Introduction to Computational Stochastic PDEs
ISBN: 0521728525 ISBN-13(EAN): 9780521728522
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.

An Introduction to Computational Stochastic PDEs

Автор: Lord
Название: An Introduction to Computational Stochastic PDEs
ISBN: 0521899907 ISBN-13(EAN): 9780521899901
Издательство: Cambridge Academ
Рейтинг:
Цена: 121440.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.

Splines And Compartment Models: An Introduction

Автор: Biebler Karl-Ernst & Wodny Michael
Название: Splines And Compartment Models: An Introduction
ISBN: 9814522228 ISBN-13(EAN): 9789814522229
Издательство: World Scientific Publishing
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Цена: 116160.00 T
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Описание: This book presents methods of mathematical modeling from two points of view. Splines provide a general approach while compartment models serve as examples for context related to modeling. The preconditions and characteristics of the developed mathematical models as well as the conditions surrounding data collection and model fit are taken into account. The substantial statements of this book are mathematically proven. The results are ready for application with examples and related program codes given.In this book, splines are algebraically developed such that the reader or user can easily understand and vary the numerical construction of the different kinds of spline functions. The classical compartment models of the pharmacokinetics are systematically analyzed and connected with lifetime distributions. As such, parameter estimation and model fit can be treated statistically with a varied minimum chi-square method. This method is applicable for single kinetics and also allows the calculation of average kinetics.

Biomat 2012 - International Symposium On Mathematical And Computational Biology

Автор: Mondaini Rubem P
Название: Biomat 2012 - International Symposium On Mathematical And Computational Biology
ISBN: 9814520810 ISBN-13(EAN): 9789814520812
Издательство: World Scientific Publishing
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Цена: 126720.00 T
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Описание: This is a book of a series on interdisciplinary topics of the Biological and Mathematical Sciences. The chapters correspond to selected papers on special research themes, which were presented at BIOMAT 2012 International Symposium on Mathematical and Computational Biology, in Tempe, Arizona, USA, November 6-10.This book contains state-of-the art articles on special research topics on mathematical biology, biological physics and mathematical modeling of biosystems; comprehensive reviews on interdisciplinary areas written by prominent leaders of scientific research groups. The treatment is both pedagogical and advanced in order to motivate research students as well as to fulfill the requirements of professional practitioners.


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