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Focusing on advanced numerical techniques, this book presents structure-preserving algorithms for second-order oscillatory differential equations, relevant in fields like quantum physics and celestial mechanics. It emphasizes the importance of maintaining key structural properties such as time-reversibility and energy conservation in simulations. The text explores various methods, including RKN and AVF, and rigorously analyzes their accuracy and efficiency through numerical simulations. Additionally, it offers practical guidance for implementing these innovative algorithms.
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Structure-Preserving Algorithms for Oscillatory Differential Equations II, Xinyuan Wu, Kai Liu, Wei Shi
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- 2018
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