Abstract
This first chapter presents the matrix-variation-of-constants formula, which is fundamental to structure-preserving integrators for multi-frequency and multidimensional oscillatory second-order differential equations in the current volume and the previous volume [23] of our monograph, since the formula makes it possible to incorporate the special structure of the multi-frequency oscillatory problems into the integrators.
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Wu, X., Liu, K., Shi, W. (2015). Matrix-Variation-of-Constants Formula. In: Structure-Preserving Algorithms for Oscillatory Differential Equations II. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48156-1_1
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DOI: https://doi.org/10.1007/978-3-662-48156-1_1
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