Analyticity and Stable Computation of Dirichlet-Neumann Operators for Laplace's Equation under Quasiperiodic Boundary Conditions in Two and Three Dimensions

Authors: Nicholls, David P., Wilkening, Jon, Zhao, Xinyu

Subject Terms: Mathematics - Numerical Analysis, 35J40, 65N35, 65N12, 76B07, G.1.8

Access URL: http://arxiv.org/abs/2410.19296

The semi-analytic theory and computation of finite-depth standing water waves

Authors: Abassi, Ahmad, Wilkening, Jon

Subject Terms: Physics - Fluid Dynamics, Mathematics - Numerical Analysis, 76B15, 35C20, 37G15, 65N22, 65N35, 68W10

Access URL: http://arxiv.org/abs/2401.00844

Spatially quasi-periodic water waves of finite depth

Authors: Wilkening, Jon, Zhao, Xinyu

Subject Terms: Physics - Fluid Dynamics, Mathematics - Numerical Analysis, 76B15, 70K43, 76M22, 65E05, 65P30

Access URL: http://arxiv.org/abs/2301.01289

Spatially quasi-periodic bifurcations from periodic traveling water waves and a method for detecting bifurcations using signed singular values

Authors: Wilkening, Jon, Zhao, Xinyu

Subject Terms: Physics - Fluid Dynamics, Mathematics - Numerical Analysis, 76B15, 70K43, 65P30, 76M22, 35C07

Access URL: http://arxiv.org/abs/2208.05954

Numerical Algorithms for Water Waves with Background Flow over Obstacles and Topography

Authors: Ambrose, David M., Camassa, Roberto, Marzuola, Jeremy L., McLaughlin, Richard M., Robinson, Quentin, Wilkening, Jon

Subject Terms: Physics - Fluid Dynamics, Mathematical Physics, Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis, 65M22, 65E05, 76B15, 35Q35, 35Q31

Access URL: http://arxiv.org/abs/2108.01786

Quasi-periodic traveling gravity-capillary waves

Authors: Wilkening, Jon, Zhao, Xinyu

Subject Terms: Physics - Fluid Dynamics, Mathematics - Numerical Analysis, 76B15, 70K43, 76M22, 65E05, 35C07

Access URL: http://arxiv.org/abs/2002.09487

Spatially quasi-periodic water waves of infinite depth

Authors: Wilkening, Jon, Zhao, Xinyu

Subject Terms: Physics - Fluid Dynamics, Mathematics - Numerical Analysis, 76B15, 70K43, 76M22, 65E05

Access URL: http://arxiv.org/abs/2001.10745

Harmonic Stability of Standing Water Waves

Authors: Wilkening, Jon

Source: ]Quarterly of Appl. Math., 78/2 (2020) 219-260

Subject Terms: Mathematics - Dynamical Systems, Nonlinear Sciences - Pattern Formation and Solitons, Physics - Fluid Dynamics, 76B15, 76B07, 37K45, 37G15, 65M70

Access URL: http://arxiv.org/abs/1903.05621

Computing the Dirichlet-Neumann Operator on a Cylinder

Authors: Qadeer, Saad, Wilkening, Jon

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/1808.00658

Rigorous Asymptotic Models of Water Waves

Authors: Cheng, C. H. Arthur, Granero-Belinchon, Rafael, Shkoller, Steve, Wilkening, Jon

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis, Physics - Fluid Dynamics, 35C20, 76B15, 65N35

Access URL: http://arxiv.org/abs/1807.00176

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Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation

Authors: Kim, Eugenia, Wilkening, Jon

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/1608.07312

A Fully Discrete Adjoint Method for Optimization of Flow Problems on Deforming Domains with Time-Periodicity Constraints

Authors: Zahr, Matthew J., Persson, Per-Olof, Wilkening, Jon

Subject Terms: Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/1512.00616

The instability of Wilton ripples

Authors: Trichtchenko, Olga, Deconinck, Bernard, Wilkening, Jon

Source: Wave Motion 66 (2016) 147-155

Subject Terms: Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/1512.01562

Optimizing intermittent water supply in urban pipe distribution networks

Authors: Lieb, Anna M., Rycroft, Chris H., Wilkening, Jon

Subject Terms: Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/1509.03024

Eigenfunctions and the Dirichlet problem for the Classical Kimura Diffusion Operator

Authors: Epstein, Charles L., Wilkening, Jon

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis, Quantitative Biology - Populations and Evolution

Access URL: http://arxiv.org/abs/1508.01482

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Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem

Authors: Wilkening, Jon, Vasan, Vishal

Subject Terms: Mathematics - Numerical Analysis, Physics - Fluid Dynamics, 65N35, 76B15, 31A10

Access URL: http://arxiv.org/abs/1406.5226

Relative-Periodic Elastic Collisions of Water Waves

Authors: Wilkening, Jon

Subject Terms: Physics - Fluid Dynamics, 76B15, 70H08, 49N20

Access URL: http://arxiv.org/abs/1405.2139

Boltzmann Equation Solver Adapted to Emergent Chemical Non-equilibrium

Authors: Birrell, Jeremiah, Wilkening, Jon, Rafelski, Johann

Source: J. Comput. Phys. 281, 896 (2015)

Subject Terms: Mathematics - Numerical Analysis, Astrophysics - Cosmology and Nongalactic Astrophysics, High Energy Physics - Phenomenology, Nuclear Theory

Access URL: http://arxiv.org/abs/1403.2019