Описание: Quadrangular Sets in Projective LIne and in Moebius Space and Geometric Interpretation of the Non-Commutative Discrete Schwarzian Kadomtsev-Petviashvili Equation (Doliwa et al.).- Complexity and integrability in 4D bi-rational maps with two invariants (Gubbiotti et al.).- A non-linear relation for certain hypergeometric functions(Schmalz et al.).- An algebraically stable variety for a four-dimensional dynamical system reduced from the lattice super-KdV equation (Carstea et al.).- On the Lattice Potential KP Equation(Cao et al.).- Opers for higher states of the quantum Boussinesq model (Masoero et al.).- Nonsingular Rational Solutions to Integrable models (Gegenhasi et al.).- Stokes phenomenon arising in the confluence of the Gauss hypergeometric equation (Horrobin et al.).- Periodic trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space (Dragovi c et al.).- Analogues of Kahan's method for higher order equations of higher degree (Hone et al.).- On some explicit representations of the elliptic Painlev e equation (Noumi et al.).
Автор: Pollicott, Mark (university Of Manchester) Название: Open conformal systems and perturbations of transfer operators ISBN: 331972178X ISBN-13(EAN): 9783319721781 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1. Introduction.- 2. Singular Perturbations of Classical Original Perron-Frobenius Operators on Countable Alphabet Symbol Spaces.- 3. Symbol Escape Rates and the Survivor Set K(Un).- 4. Escape Rates for Conformal GDMSs and IFSs.- 5. Applications: Escape Rates for Multimodal Mapsand One-Dimensional Complex Dynamics.
Автор: Temme Nico M Название: Asymptotic Methods For Integrals ISBN: 9814612154 ISBN-13(EAN): 9789814612159 Издательство: World Scientific Publishing Рейтинг: Цена: 31680.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.
The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
Описание: Quadrangular Sets in Projective LIne and in Moebius Space and Geometric Interpretation of the Non-Commutative Discrete Schwarzian Kadomtsev-Petviashvili Equation (Doliwa et al.).- Complexity and integrability in 4D bi-rational maps with two invariants (Gubbiotti et al.).- A non-linear relation for certain hypergeometric functions(Schmalz et al.).- An algebraically stable variety for a four-dimensional dynamical system reduced from the lattice super-KdV equation (Carstea et al.).- On the Lattice Potential KP Equation(Cao et al.).- Opers for higher states of the quantum Boussinesq model (Masoero et al.).- Nonsingular Rational Solutions to Integrable models (Gegenhasi et al.).- Stokes phenomenon arising in the confluence of the Gauss hypergeometric equation (Horrobin et al.).- Periodic trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space (Dragovi c et al.).- Analogues of Kahan's method for higher order equations of higher degree (Hone et al.).- On some explicit representations of the elliptic Painlev e equation (Noumi et al.).
Описание: With a pedagogic format ideal for graduate students, this text includes a wealth of examples focusing on solutions in dynamical systems theory that mirror those used in Lyapunov`s first method, tackling ordinary differential equations expressed as series form.
Описание: A record of the workshop on asymptotic-induced numerical methods for partial differential equations, critical parameters and domain decomposition, held at Beaune, France. The book discusses new computational methods, recent algorithm developments and techniques in mathematical modelling.
Автор: Vasile Marinca; Nicolae Herisanu Название: The Optimal Homotopy Asymptotic Method ISBN: 331936183X ISBN-13(EAN): 9783319361833 Издательство: Springer Рейтинг: Цена: 16977.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method.
This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena.
The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between
these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics.
This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app
roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.
Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems.
Автор: M. I. Vishik Название: Asymptotic Behaviour of Solutions of Evolutionary Equations ISBN: 052142237X ISBN-13(EAN): 9780521422376 Издательство: Cambridge Academ Рейтинг: Цена: 6811.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. The lectures on which it is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes.
Автор: George Isac; S?ndor Zolt?n N?meth Название: Scalar and Asymptotic Scalar Derivatives ISBN: 0387739874 ISBN-13(EAN): 9780387739878 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents a study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. This book presents material in relation to Euclidean spaces, Hilbert spaces, Banach spaces, Riemannian manifolds, and Hadamard manifolds.
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