44 citations · 147 across the 19 of their papers we have counts for
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math.NA2021
Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere
Hiroe Yamazaki, Colin J Cotter, Beth Wingate
We describe a proof-of-concept development and application of a phase averaging technique to the nonlinear rotating shallow water equations on the sphere, discretised using compati…
math.DS2021
Higher order phase averaging for highly oscillatory systems
Werner Bauer, Colin J. Cotter, Beth Wingate
We introduce a higher order phase averaging method for nonlinear oscillatory systems. Phase averaging is a technique to filter fast motions from the dynamics whilst still accountin…