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Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

Name: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions
Brand: Springer, Berlin
SKU: 9789811601491
Price: 469.11 RON
Availability: InStock

Autor: Xinyuan Wu, Bin Wang

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Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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The idea of structure-preserving algorithms appeared in the 1980's. The new paradigm brought many in...

Informații despre carte

Autor

Xinyuan Wu, Bin Wang

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2022

Pagini

499

EAN

9789811601491

Enbook ID

41475628

Editura

Springer, Berlin

Greutate

779

Dimensiuni

155 x 235 x 28

Descriere completă

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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Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

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