Algebraic Analysis of Differential Equations, T. Aoki; H. Majima; Y. Takei; N. Tose

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
Рейтинг:
Цена: 60180.00 T
Наличие на складе: Невозможна поставка.
Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Автор: Hairer Ernst, Wanner Gerhard
Название: Solving Ordinary Differential Equations II / Stiff and Differential-Algebraic Problems
ISBN: 3540604529 ISBN-13(EAN): 9783540604525
Издательство: Springer
Рейтинг:
Цена: 149060.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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: Steinmetz, Norbert
Название: Nevanlinna theory, normal families, and algebraic differential equations
ISBN: 331959799X ISBN-13(EAN): 9783319597997
Издательство: Springer
Рейтинг:
Цена: 55890.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations.

Following a comprehensive treatment of Nevanlinna's theory of value distribution, the author presents advances made since Hayman's work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot-Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman-Pang method of re-scaling to algebraic differential equations, and presents the Painlev -Yosida theorem, which relates Painlev transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions.

Aimed at graduate students interested in recent developments in the field and researchers working on related problems, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.

Название: Surveys in differential-algebraic equations iv
ISBN: 3319466178 ISBN-13(EAN): 9783319466170
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in
- History of DAEs
- DAE aspects of mechanical multibody systems
- Model reduction of DAEs
- Observability for DAEs
- Numerical Analysis for DAEs
The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Автор: Peter Benner; Matthias Bollh?fer; Daniel Kressner;
Название: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
ISBN: 3319152599 ISBN-13(EAN): 9783319152592
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.

Автор: Peter Benner; Matthias Bollh?fer; Daniel Kressner;
Название: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
ISBN: 3319384317 ISBN-13(EAN): 9783319384313
Издательство: Springer
Рейтинг:
Цена: 88500.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.

Автор: Weintraub, Steven
Название: Differential forms
ISBN: 0123944031 ISBN-13(EAN): 9780123944030
Издательство: Elsevier Science
Рейтинг:
Цена: 98800.00 T
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: 63360.00 T
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.

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 53850.00 T
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.

Автор: Le Dung Trang
Название: Algebraic Approach To Differential Equations
ISBN: 9814273236 ISBN-13(EAN): 9789814273237
Издательство: World Scientific Publishing
Рейтинг:
Цена: 110880.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intends to accustom differential equation specialists to algebraic methods. This book presents material from a school organized by The Abdus Salam International Centre for Theoretical Physics (ICTP), the Bibliotheca Alexandrina, and the International Centre for Pure and Applied Mathematics (CIMPA).

Автор: Galina Filipuk; Yoshishige Haraoka; S?awomir Micha
Название: Analytic, Algebraic and Geometric Aspects of Differential Equations
ISBN: 3319528416 ISBN-13(EAN): 9783319528410
Издательство: Springer
Рейтинг:
Цена: 149060.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Preface.- An introduction to Dunkl theory and its analytic aspects.- Holonomic Systems.- Sub-Riemannian geometry and hypoelliptic operators.- Asymptotic analysis and summability of formal power series.- WKB analysis and Stokes geometry of differential equations.- Transcendental Meromorphic Solutions of P34and Small Targets.- Towards the convergence of generalized power series solutions of algebraic ODEs.- Connection problem for regular holonomic systems in several variables.- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.- On Stokes phenomena for the alternate discrete PI equation.- Flat structures and algebraic solutions toPainlevй VI equation.- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory.- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations.- Reducibility of hypergeometric equations.- Parametric Borel summability of partial differential equations of irregular singular type.

Автор: Achim Ilchmann; Timo Reis
Название: Surveys in Differential-Algebraic Equations II
ISBN: 3319110497 ISBN-13(EAN): 9783319110493
Издательство: Springer
Рейтинг:
Цена: 74530.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Surveys in Differential-Algebraic Equations II