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Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations : Mathematics and Statistics (R0) - Xinyuan Wu

Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

By: Xinyuan Wu, Bin Wang

eText | 19 April 2018

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The main theme of this book is recent progress in structure-preserving algorithms for solving initial value problems of oscillatory differential equations arising in a variety of research areas, such as astronomy, theoretical physics, electronics, quantum mechanics and engineering. It systematically describes the latest advances in the development of structure-preserving integrators for oscillatory differential equations, such as structure-preserving exponential integrators, functionally fitted energy-preserving integrators, exponential Fourier collocation methods, trigonometric collocation methods, and symmetric and arbitrarily high-order time-stepping methods. Most of the material presented here is drawn from the recent literature. Theoretical analysis of the newly developed schemes shows their advantages in the context of structure preservation. All the new methods introduced in this book are proven to be highly effective compared with the well-known codes in the scientific literature. This book also addresses challenging problems at the forefront of modern numerical analysis and presents a wide range of modern tools and techniques.

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Non-FictionMathematicsApplied MathematicsMathematical ModellingEngineering & TechnologyTechnology in GeneralEngineering in GeneralReference, Information & Interdisciplinary SubjectsResearch & InformationInformation theoryCybernetics & Systems TheoryLibrary & Info Sciences
Library & Information ServicesMaths for Engineers

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Paperback

Published: 26th January 2019

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