Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

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Focusing on the advancements in structure-preserving algorithms, the book explores their application to oscillatory differential equations across various fields, including astronomy and quantum mechanics. It details the development of integrators such as exponential and energy-preserving methods, along with high-order time-stepping techniques. Theoretical analyses demonstrate the effectiveness of these new methods, showcasing their advantages in structure preservation. Additionally, the book tackles contemporary challenges in numerical analysis, offering a comprehensive overview of modern tools and techniques.