Structure-Preserving Algorithms for Oscillatory Differential Equations II (eBook, PDF)

Structure-Preserving Algorithms for Oscillatory Differential Equations II (eBook, PDF)

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This book describes a variety of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations. Such systems arise in many branches of science and engineering, and the examples in the book include systems from quantum physics, celestial mechanics and electronics. To accurately simulate the true behavior of such systems, a numerical algorithm must preserve as much as possible their key structural properties: time-reversibility, oscillation, symplecticity, and energy and momentum conservation. The book describes novel advances in RKN methods, ...

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