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math.NA2024
Analyticity and Stable Computation of Dirichlet-Neumann Operators for Laplace's Equation under Quasiperiodic Boundary Conditions in Two and Three Dimensions
David P. Nicholls, Jon Wilkening, Xinyu Zhao
Dirichlet-Neumann Operators (DNOs) are important to the formulation, analysis, and simulation of many crucial models found in engineering and the sciences. For instance, these oper…
physics.flu-dyn2024
The semi-analytic theory and computation of finite-depth standing water waves
Ahmad Abassi, Jon Wilkening
We propose a Stokes expansion ansatz for finite-depth standing water waves in two dimensions and devise a recursive algorithm to compute the expansion coefficients. We implement th…