Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

Name: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions
Author: Xinyuan Wu

Auteur: Xinyuan Wu

Taal: Engels

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Auteur: Xinyuan Wu Bin Wang

Engels
Hardcover
9789811601460
29 september 2021
499 pagina's

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Samenvatting

The idea of structure-preserving algorithms appeared in the 1980's. The new paradigm brought many innovative changes. The new paradigm wanted to identify the long-time behaviour of the solutions or the existence of conservation laws or some other qualitative feature of the dynamics. Another area that has kept growing in importance within Geometric Numerical Integration is the study of highly-oscillatory problems: problems where the solutions are periodic or quasiperiodic and have to be studied in time intervals that include an extremely large number of periods. As is known, these equations cannot be solved efficiently using conventional methods. A further study of novel geometric integrators has become increasingly important in recent years. The objective of this monograph is to explore further geometric integrators for highly oscillatory problems that can be formulated as systems of ordinary and partial differential equations.
Facing challenging scientific computational problems, this book presents some new perspectives of the subject matter based on theoretical derivations and mathematical analysis, and provides high-performance numerical simulations. In order to show the long-time numerical behaviour of the simulation, all the integrators presented in this monograph have been tested and verified on highly oscillatory systems from a wide range of applications in the field of science and engineering. They are more efficient than existing schemes in the literature for differential equations that have highly oscillatory solutions.

This book is useful to researchers, teachers, students and engineers who are interested in Geometric Integrators and their long-time behaviour analysis for differential equations with highly oscillatory solutions.

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Taal: en
Bindwijze: Hardcover
Oorspronkelijke releasedatum: 29 september 2021
Aantal pagina's: 499

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Hoofdauteur: Xinyuan Wu
Tweede Auteur: Bin Wang
Hoofduitgeverij: Springer Verlag, Singapore

Overige kenmerken

Editie: 1st ed. 2021
Product breedte: 155 mm
Product lengte: 235 mm
Studieboek: Nee
Verpakking breedte: 155 mm
Verpakking hoogte: 235 mm
Verpakking lengte: 235 mm
Verpakkingsgewicht: 939 g

EAN

EAN: 9789811601460

Je vindt dit artikel in

Categorieën: Wetenschap & Natuur

Wetenschap algemeen

Wiskunde

Onderzoek & Informatie

Calculus & Wiskundige analyse

Informatica

Numerieke wiskunde

Boeken
Boek, ebook of luisterboek?: Boek
Taal: Engels
Beschikbaarheid: Leverbaar
Studieboek of algemeen: Studieboeken

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