Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations: 31 (Springer Series in Computational Mathematics) - Hardcover

Hairer, Ernst; Lubich, Christian; Wanner, Gerhard

9783540306634: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations: 31 (Springer Series in Computational Mathematics)

Hardcover

ISBN 10: 3540306633 ISBN 13: 9783540306634

Verlag: Springer, 2006

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This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. It presents a

theory of symplectic and symmetric methods, which include various specially designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

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�ber die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

VerlagSpringer
Erscheinungsdatum2006
ISBN 10 3540306633
ISBN 13 9783540306634
EinbandTapa dura
SpracheEnglisch
Auflage2
Anzahl der Seiten664
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9783642051579: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations: 31 (Springer Series in Computational Mathematics)

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Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations

Ernst Hairer

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2006

ISBN 10: 3540306633 ISBN 13: 9783540306634

Neu Hardcover

Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include 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. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches. The second edition is substantially revised and enlarged, with many improvements in the presentation and additions concerning in particular non-canonical Hamiltonian systems, highly oscillatory mechanical systems, and the dynamics of multistep methods. Artikel-Nr. 9783540306634

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