Perturbation Methods In Applied Mathematics

By A. Nagel. 2016

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Coherent structures in wall-bounded turbulence (2017, methodology): “Two accounts of the averaging method, with very different flavour, are §3 in Cole (1968) and §4 in Arnold (1983).”
Deep learning for universal linear embeddings of nonlinear dynamics (2017, background): “mental frequency that are generated by the nonlinearity (41, 42).”
Mathieu's Equation and Its Generalizations: Overview of Stability Charts and Their Features (2018, methodology): “1 Perturbation method In order to nd a general solution to Mathieus equation (1) for small , one can use the two variable expansion method [1], [25], [26].”