43 citations · 292 across the 26 of their papers we have counts for
4 papers · 1 filter
The instability of Wilton ripples
Olga Trichtchenko, Bernard Deconinck, Jon Wilkening
Wilton ripples are a type of periodic traveling wave solution of the full water wave problem incorporating the effects of surface tension. They are characterized by a resonance phe…
A Fully Discrete Adjoint Method for Optimization of Flow Problems on Deforming Domains with Time-Periodicity Constraints
Matthew J. Zahr, Per-Olof Persson, Jon Wilkening
A variety of shooting methods for computing fully discrete time-periodic solutions of partial differential equations, including Newton-Krylov and optimization-based methods, are di…
Optimizing intermittent water supply in urban pipe distribution networks
Anna M. Lieb, Chris H. Rycroft, Jon Wilkening
In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different ti…
Eigenfunctions and the Dirichlet problem for the Classical Kimura Diffusion Operator
Charles L. Epstein, Jon Wilkening
We study the classical Kimura diffusion operator defined on the n-simplex, We give novel constructions for th…