Abstract
The main theme of this chapter is the error analysis for the two-step extended Runge–Kutta–Nyström-type (TSERKN) methods (2011) for the multi-frequency and multidimensional oscillatory systems \(y^{\prime \prime }+My=f(y)\), where high-frequency oscillations in the solutions are generated by the linear part My and \(\left\| M\right\| \) may be large.
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Wu, X., Liu, K., Shi, W. (2015). Error Analysis of Explicit TSERKN Methods for Highly Oscillatory Systems. In: Structure-Preserving Algorithms for Oscillatory Differential Equations II. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48156-1_8
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DOI: https://doi.org/10.1007/978-3-662-48156-1_8
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