Partial Difference Equations, Cheng, Sui Sun

Автор: Allaberen Ashyralyev; Pavel E. Sobolevskii
Название: New Difference Schemes for Partial Differential Equations
ISBN: 3034896220 ISBN-13(EAN): 9783034896221
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs.

Автор: Wazwaz Abdul-Majid
Название: First Course In Integral Equations, A (Second Edition)
ISBN: 9814675121 ISBN-13(EAN): 9789814675123
Издательство: World Scientific Publishing
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Цена: 42240.00 T
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Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

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: 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
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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: Sandra Pinelas and Tom?s Caraballo
Название: Differential and difference equations with applications.
ISBN: 331975646X ISBN-13(EAN): 9783319756462
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017.

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: 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: 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.

Автор: Dret, Herve Le
Название: Nonlinear elliptic partial differential equations
ISBN: 3319783890 ISBN-13(EAN): 9783319783895
Издательство: Springer
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Цена: 60550.00 T
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Описание: This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.