عنوان

Geometric Numerical Integration

شابک

9783662050187

شابک

9783662050200

شماره

b407843

عنوان اصلي

Geometric Numerical Integration

نام عام مواد

[Book]

ساير اطلاعات عنواني

Structure-Preserving Algorithms for Ordinary Differential Equations /

نام نخستين پديدآور

by Ernst Hairer, Gerhard Wanner, Christian Lubich.

محل نشرو پخش و غیره

Berlin, Heidelberg :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

2002.

عنوان فروست

Springer Series in Computational Mathematics,

مشخصه جلد

31

شاپا ي ISSN فروست

0179-3632 ;

متن يادداشت

I. Examples and Numerical Experiments -- II. Numerical Integrators -- III. Order Conditions, Trees and B-Series -- IV. Conservation of First Integrals and Methods on Manifolds -- V. Symmetric Integration and Reversibility -- VI. Symplectic Integration of Hamiltonian Systems -- VII. Further Topics in Structure Preservation -- VIII. Structure-Preserving Implementation -- IX. Backward Error Analysis and Structure Preservation -- X. Hamiltonian Perturbation Theory and Symplectic Integrators -- XI Reversible Perturbation Theory and Symmetric Integrators -- XII. Dissipatively Perturbed Hamiltonian and Reversible Systems -- XIII. Highly Oscillatory Differential Equations -- XIV. Dynamics of Multistep Methods.

بدون عنوان

0

متن يادداشت

The subject of this book is numerical methods that preserve geometric properties of the flow of a differential equation: symplectic integrators for Hamiltonian systems, symmetric integrators for reversible systems, methods preserving first integrals and numerical methods on manifolds, including Lie group methods and integrators for constrained mechanical systems, and methods for problems with highly oscillatory solutions. A complete theory of symplectic and symmetric Runge-Kutta, composition, splitting, multistep and various specially designed integrators is presented, and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory and related perturbation theories. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.

شماره استاندارد بين المللي کتاب و موسيقي

9783662050200

عنوان

Springer eBooks

موضوع مستند نشده

Global analysis (Mathematics).

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Numerical analysis.

مستند نام اشخاص تاييد نشده

Hairer, Ernst.

مستند نام اشخاص تاييد نشده

Lubich, Christian.

مستند نام اشخاص تاييد نشده

Wanner, Gerhard.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301082600.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y