Imaging, Multi-scale and High Contrast Partial Differential Equations, Habib Ammari, Yves Capdeboscq, Hyeonbae Kang, Imbo Sim

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 63360.00 T
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 53850.00 T
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Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

Автор: Randall LeVeque
Название: Finite Difference Methods for Ordinary and Partial Differential Equations
ISBN: 0898716292 ISBN-13(EAN): 9780898716290
Издательство: Mare Nostrum (Eurospan)
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Цена: 67710.00 T
Наличие на складе: Нет в наличии.
Описание: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. Exercises and student projects are available on the book’s webpage, along with Matlab mfiles for implementing methods. Readers will gain an understanding of the essential ideas that underlie the development, analysis, and practical use of finite difference methods as well as the key concepts of stability theory, their relation to one another, and their practical implications. The author provides a foundation from which students can approach more advanced topics.

Автор: Nikos I. Kavallaris; Takashi Suzuki
Название: Non-Local Partial Differential Equations for Engineering and Biology
ISBN: 3319679422 ISBN-13(EAN): 9783319679426
Издательство: Springer
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Цена: 107130.00 T
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Описание: This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools.

Автор: Schоnlieb
Название: Partial Differential Equation Methods for Image Inpainting
ISBN: 1107001005 ISBN-13(EAN): 9781107001008
Издательство: Cambridge Academ
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Цена: 81300.00 T
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Описание: This book is concerned with digital image processing techniques that use partial differential equations (PDEs) for the task of image 'inpainting', an artistic term for virtual image restoration or interpolation, whereby missing or occluded parts in images are completed based on information provided by intact parts. Computer graphic designers, artists and photographers have long used manual inpainting to restore damaged paintings or manipulate photographs. Today, mathematicians apply powerful methods based on PDEs to automate this task. This book introduces the mathematical concept of PDEs for virtual image restoration. It gives the full picture, from the first modelling steps originating in Gestalt theory and arts restoration to the analysis of resulting PDE models, numerical realisation and real-world application. This broad approach also gives insight into functional analysis, variational calculus, optimisation and numerical analysis and will appeal to researchers and graduate students in mathematics with an interest in image processing and mathematical analysis.

Автор: Jan S. Hesthaven; Einar M. R?nquist
Название: Spectral and High Order Methods for Partial Differential Equations
ISBN: 3642265758 ISBN-13(EAN): 9783642265754
Издательство: Springer
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Цена: 139750.00 T
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Описание: The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area.

Автор: Marco L. Bittencourt; Ney A. Dumont; Jan S. Hesth
Название: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
ISBN: 3319658697 ISBN-13(EAN): 9783319658698
Издательство: Springer
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Цена: 186330.00 T
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Описание: This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area.

Автор: Robert M. Kirby; Martin Berzins; Jan S. Hesthaven
Название: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014
ISBN: 3319197991 ISBN-13(EAN): 9783319197999
Издательство: Springer
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Цена: 149060.00 T
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Описание: The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2014), and provides an overview of the depth and breadth of the activities within this important research area.

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 46570.00 T
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Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.

Автор: Habib Ammari, Yves Capdeboscq, Hyeonbae Kang
Название: Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion
ISBN: 0821869299 ISBN-13(EAN): 9780821869291
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
Наличие на складе: Невозможна поставка.
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.

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 88690.00 T
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.

Автор: Marcelo R. Ebert; Michael Reissig
Название: Methods for Partial Differential Equations
ISBN: 3319664557 ISBN-13(EAN): 9783319664552
Издательство: Springer
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Цена: 79190.00 T
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Описание: This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the “research project for beginners” proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area.The book is organized in five parts:In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation.Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models.Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results.Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.