Peste 4 milioane de titluri în engleză și alte limbi! Descoperă-ți noua poveste astăzi!

Problem of Integrable Discretization

Name: Problem of Integrable Discretization
Brand: Birkhauser Verlag AG
SKU: 9783764369958
Price: 990.92 RON
Availability: InStock

Hamiltonian Approach

Autor: Y. B. Suris

Limbă:

Legare: Copertă tare

Editura: Birkhauser Verlag AG

Disponibilitate: În depozitul extern

Expediem în 10-13 zile

990.92 lei

The book explores the theory of discrete integrable systems, with an emphasis on the following gener...

Informații despre carte

Autor

Y. B. Suris

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2003

Pagini

EAN

9783764369958

ISBN

3764369957

Enbook ID

01716656

Editura

Birkhauser Verlag AG

Greutate

2000

Dimensiuni

155 x 235 x 64

Descriere completă

The book explores the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property? This question (related in spirit to such a modern branch of numerical analysis as geometric integration) is treated in the book as an immanent part of the theory of integrable systems, also commonly termed as the theory of solitons.§Among several possible approaches to this theory, the Hamiltonian one is chosen as the guiding principle. A self-contained exposition of the Hamiltonian (r-matrix, or "Leningrad") approach to integrable systems is given, culminating in the formulation of a general recipe for integrable discretization of r-matrix hierarchies. After that, a detailed systematic study is carried out for the majority of known discrete integrable systems which can be considered as discretizations of integrable ordinary differential or differential-difference (lattice) equations. This study includes, in all cases, a unified treatment of the correspondent continuous integrable systems as well. The list of systems treated in the book includes, among others: Toda and Volterra lattices along with their numerous generalizations (relativistic, multi-field, Lie-algebraic, etc.), Ablowitz-Ladik hierarchy, peakons of the Camassa-Holm equation, Garnier and Neumann systems with their various relatives, many-body systems of the Calogero-Moser and Ruijsenaars-Schneider type, various integrable cases of the rigid body dynamics. Most of the results are only available from recent journal publications, many of them are new. §Thus, the book is a kind of encyclopedia on discrete integrable systems. It unifies the features of a research monograph and a handbook. It is supplied with an extensive bibliography and detailed bibliographic remarks at the end of each chapter. Largely self-contained, it will be accessible to graduate and post-graduate students as well as to researchers in the area of integrable dynamical systems. Also those involved in real numerical calculations or modelling with integrable systems will find it very helpful.

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Problem of Integrable Discretization

Hamiltonian Approach

Informații despre carte

Descriere completă

S-ar putea să te intereseze

Old Testament Pseudepigrapha

The Dangerous Pet Lover's Guide to Dragons

Head First Java

Persuasion

Adorned in Dreams

201 Positive Psychology Applications

Beyond Eden

The Will of the People: How Public Opinion Has Influenced the Supreme Court and Shaped the Meaning of the Constitution

Positive Options for Sjogren' s Syndrome

Tribes of the Iroquois Confederacy

Indian Herbal Remedies

Clienții care au cumpărat această carte au mai cumpărat și

Zu Füßen des Meisters

Theos Reise

Fatale

Nana

Die Durchsetzung der Reformpolitik in China

Das Potenzial des Epos

Getränkeservice für Hotelbar, Büffet und Restaurant

ANP in der Intensivpflege

Revue d'histoire des textes 07 - 1977

Metapher, Allegorie, Symbol

Erholung in freier Natur.