Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

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Focusing on recent advancements, this book delves into structure-preserving algorithms tailored for oscillatory differential equations, relevant across fields like astronomy and quantum mechanics. It systematically reviews innovative integrators, including exponential and energy-preserving methods, alongside time-stepping techniques. Theoretical analyses highlight the benefits of these new approaches, demonstrating their effectiveness over traditional methods. Additionally, it tackles contemporary challenges in numerical analysis, offering a comprehensive array of modern tools and techniques.