Описание: The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g., in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.
Автор: Weintraub, Steven Название: Differential forms ISBN: 0123944031 ISBN-13(EAN): 9780123944030 Издательство: Elsevier Science Рейтинг: Цена: 14820.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers many examples of computations and research applications across the fields of applied mathematics, engineering, and physics. This title provides a solid theoretical basis of how to develop and apply differential forms to real research problems. It includes computational methods for graphical results essential for math modeling.
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.
Описание: This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems.
Автор: Guillermo Sapiro Название: Geometric Partial Differential Equations and Image Analysis ISBN: 0521685079 ISBN-13(EAN): 9780521685078 Издательство: Cambridge Academ Цена: 8078.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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