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Oscillatory-Preserving Integrators for Nonlinear Highly Oscillatory Differential Equations
2019-05-28 10:01:03

The main theme of this talk is oscillation-preserving integrators for effectively solving nonlinear highly oscillatory systems. We begin with highly oscillatory integrals. We then present the definition of oscillation-preserving integrators for multi-frequency highly oscillatory second-order systems, and analyze the behavior of oscillation preservation for RKN-type methods.