Multilevel Projection Methods for Partial Differential Equations, Stephen F. McCormick
Автор: Stephen F. McCormick Название: Multilevel Adaptive Methods for Partial Differential Equations ISBN: 0898712475 ISBN-13(EAN): 9780898712476 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 59350.00 T Наличие на складе: Невозможна поставка. Описание: A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy.
Автор: Gerhard Zumbusch Название: Parallel Multilevel Methods ISBN: 3519004518 ISBN-13(EAN): 9783519004516 Издательство: Springer Рейтинг: Цена: 35390.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Numerical simulation promises new insight in science and engineering. In ad- dition to the traditional ways to perform research in science, that is laboratory experiments and theoretical work, a third way is being established: numerical simulation. It is based on both mathematical models and experiments con- ducted on a computer. The discipline of scientific computing combines all aspects of numerical simulation. The typical approach in scientific computing includes modelling, numerics and simulation, see Figure l. Quite a lot of phenomena in science and engineering can be modelled by partial differential equations (PDEs). In order to produce accurate results, complex models and high resolution simulations are needed. While it is easy to increase the precision of a simulation, the computational cost of doing so is often prohibitive. Highly efficient simulation methods are needed to overcome this problem. This includes three building blocks for computational efficiency, discretisation, solver and computer. Adaptive mesh refinement, high order and sparse grid methods lead to discretisations of partial differential equations with a low number of degrees of freedom. Multilevel iterative solvers decrease the amount of work per degree of freedom for the solution of discretised equation systems. Massively parallel computers increase the computational power available for a single simulation.
Автор: Ken Hayami Название: A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals ISBN: 3540550003 ISBN-13(EAN): 9783540550006 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph proposes a numerical integration method for nearly singular integrals over general curved surfaces, arising in three-dimensional boundary element analysis. The method is also applied to weakly singular and hypersingular integrals. A knowledge of calculus is assumed.
Автор: Todor Stoilov Название: Noniterative Coordination in Multilevel Systems ISBN: 9401064954 ISBN-13(EAN): 9789401064958 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Multilevel decision theory arises to resolve the contradiction between increasing requirements towards the process of design, synthesis, control and management of complex systems and the limitation of the power of technical, control, computer and other executive devices, which have to perform actions and to satisfy requirements in real time.
Автор: Randall LeVeque Название: Finite Difference Methods for Ordinary and Partial Differential Equations ISBN: 0898716292 ISBN-13(EAN): 9780898716290 Издательство: Mare Nostrum (Eurospan) Рейтинг: 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: Schоnlieb Название: Partial Differential Equation Methods for Image Inpainting ISBN: 1107001005 ISBN-13(EAN): 9781107001008 Издательство: Cambridge Academ Рейтинг: Цена: 81300.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Mejdi Aza?ez; Henda El Fekih; Jan S. Hesthaven Название: Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 ISBN: 3319378589 ISBN-13(EAN): 9783319378589 Издательство: Springer Рейтинг: Цена: 135090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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 (2012), and provides an overview of the depth and breath of the activities within this important research area.
Автор: DuBois Thierry, Temam Roger, Jauberteau Frangois Название: Dynamic Multilevel Methods and the Numerical Simulation of Turbulence ISBN: 0521621658 ISBN-13(EAN): 9780521621656 Издательство: Cambridge Academ Цена: 101370.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This 1999 book describes the implementation of multilevel methods for the numerical simulation of turbulent flows. The implementation issues are discussed and simulations of the flows are presented and analysed. The methods have been applied in the context of the direct numerical simulation and are therefore compared to such simulations.
Автор: Giorgos Michel Название: Multilevel Statistical Models ISBN: 1681174464 ISBN-13(EAN): 9781681174464 Издательство: Gazelle Book Services Рейтинг: Цена: 217350.00 T Наличие на складе: Невозможна поставка. Описание: Through the social, medical and other sciences the importance of understanding complex hierarchical data structures is well understood. Multilevel modelling is now the accepted statistical technique for handling such data and is widely available in computer software packages. A thorough understanding of these techniques is therefore important for all those working in these areas. Multilevel models (also hierarchical linear models, nested models, mixed models, random coefficient, random-effects models, random parameter models, or split-plot designs) are statistical models of parameters that vary at more than one level. An example could be a model of student performance that contains measures for individual students as well as measures for classrooms within which the students are grouped. These models can be seen as generalizations of linear models (in particular, linear regression), although they can also extend to non-linear models. These models became much more popular after sufficient computing power and software became available. Multilevel models are particularly appropriate for research designs where data for participants are organized at more than one level (i.e., nested data). Multilevel models can be used on data with many levels, although 2-level models are the most common and the rest of this article deals only with these. The dependent variable must be examined at the lowest level of analysis. The book Multilevel Statistical Models brings these techniques together, starting from basic ideas and illustrating how more complex models are derived. This book is a comprehensive tool for postgraduate courses. This book will be beneficial for applied statisticians in the social sciences, economics, biological and medical disciplines.
Автор: Gelman Название: Data analysis using regression and multilevel/hierarchical models ISBN: 052168689X ISBN-13(EAN): 9780521686891 Издательство: Cambridge Academ Рейтинг: Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Data Analysis Using Regression and Multilevel/Hierarchical Models, first published in 2007, is a comprehensive manual for the applied researcher who wants to perform data analysis using linear and nonlinear regression and multilevel models. It introduces and demonstrates a variety of models and instructs the reader in how to fit these models using freely available software packages.
Автор: Marcelo R. Ebert; Michael Reissig Название: Methods for Partial Differential Equations ISBN: 3319664557 ISBN-13(EAN): 9783319664552 Издательство: Springer Рейтинг: Цена: 79190.00 T 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.
Казахстан, 010000 г. Астана, проспект Туран 43/5, НП2 (офис 2) ТОО "Логобук" Тел:+7 707 857-29-98 ,+7(7172) 65-23-70 www.logobook.kz
