Описание: This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations.
Автор: Ahmad Shair Название: Textbook on Ordinary Differential Equations ISBN: 3319164074 ISBN-13(EAN): 9783319164076 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Micka?l D. Chekroun; Honghu Liu; Shouhong Wang Название: Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations ISBN: 3319125192 ISBN-13(EAN): 9783319125190 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs).
Автор: Alfio Quarteroni; Gianluigi Rozza Название: Reduced Order Methods for Modeling and Computational Reduction ISBN: 3319377353 ISBN-13(EAN): 9783319377353 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book details advances and developments in reduced order methods for modeling and computational reduction of complex parametrized systems held by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques.
Автор: Alfio Quarteroni; Gianluigi Rozza Название: Reduced Order Methods for Modeling and Computational Reduction ISBN: 3319020897 ISBN-13(EAN): 9783319020891 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book details advances and developments in reduced order methods for modeling and computational reduction of complex parametrized systems held by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques.
Автор: Xie Название: Differential Equations for Engineers ISBN: 1107632951 ISBN-13(EAN): 9781107632950 Издательство: Cambridge Academ Рейтинг: Цена: 9504.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Marcelo R. Ebert; Michael Reissig Название: Methods for Partial Differential Equations ISBN: 3319664557 ISBN-13(EAN): 9783319664552 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: Proceedings of the NATO Advanced Research Workshop on Frontiers of Optical Phenomena in Semiconductor Structures of Reduced Dimensions, Yountville, California, USA, July 27-31, 1992
Автор: Bernd R. Noack; Marek Morzynski; Gilead Tadmor Название: Reduced-Order Modelling for Flow Control ISBN: 3709111145 ISBN-13(EAN): 9783709111147 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on the physical and mathematical foundations of model-based turbulence control: reduced-order modelling and control design in simulations and experiments. Leading experts guide readers through the methods and cover the latest methods.
Описание: This edited monograph collects research contributions and addresses the advancement of efficient numerical procedures in the area of model order reduction (MOR) for simulation, optimization and control. The topical scope includes, but is not limited to, new out-of-the-box algorithmic solutions for scientific computing, e.g. reduced basis methods for industrial problems and MOR approaches for electrochemical processes. The target audience comprises research experts and practitioners in the field of simulation, optimization and control, but the book may also be beneficial for graduate students alike.
Автор: Subramanian R. Shankar, Balasubramaniam R. Название: The Motion of Bubbles and Drops in Reduced Gravity ISBN: 0521496055 ISBN-13(EAN): 9780521496056 Издательство: Cambridge Academ Цена: 19166.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Orbiting spacecraft provide a valuable laboratory for experiments on physical and biological systems in a reduced gravity environment. In these studies, fluid masses containing bubbles and drops are encountered routinely. This 2001 book provides a clear, thorough review of the motion of bubbles and drops in reduced gravity. The emphasis is on theoretical analysis from first principles.
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