Jon Wilkening
Earth and Planetary Sciences · Purdue University West Lafayette
Publications
101
Citations
833
Est. group size
—
Recurring co-author estimate
Active years
24
Publishing since 2003
Jon Wilkening works on the mathematics and numerical simulation of water waves, including standing, traveling, and spatially quasiperiodic wave patterns on the ocean surface, as well as related mathematical physics problems like Dirichlet-Neumann boundary operators and diffusion processes. His work combines rigorous mathematical analysis (proving that certain wave equations have well-defined solutions) with the development of computational algorithms to simulate wave behavior. This research could interest students in applied mathematics, fluid dynamics, or scientific computing who want to study ocean wave phenomena using both theoretical and numerical tools.
Publication output has been steady over the last decade, averaging around 3 papers per year with a modest peak in 2021, and this pace has continued through 2025-2026.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Local well-posedness of spatially quasiperiodic gravity water waves in two dimensions
arXiv (Cornell University) · 2026
- Local well-posedness of spatially quasiperiodic gravity water waves in two dimensions
arXiv (Cornell University) · 2026
- Local well-posedness of spatially quasiperiodic gravity water waves in two dimensions
Advances in Mathematics · 2026
- Analyticity and Stable Computation of Dirichlet–Neumann Operators for Laplace's Equation Under Quasiperiodic Boundary Conditions in Two and Three Dimensions
Studies in Applied Mathematics · 2025
- The semi-analytic theory and computation of finite-depth standing water waves
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2025
- The semi-analytic theory and computation of finite-depth standing water waves
arXiv (Cornell University) · 2024
- Analyticity and Stable Computation of Dirichlet-Neumann Operators for Laplace's Equation under Quasiperiodic Boundary Conditions in Two and Three Dimensions
arXiv (Cornell University) · 2024
- Computing relative explosive shock sensitivity from phase-space thermodynamics
AIP conference proceedings · 2024
- A theoretical basis for an experimental shock-induced deflagration study in HMX
AIP conference proceedings · 2024
- Spatially quasi-periodic bifurcations from periodic traveling water waves and a method for detecting bifurcations using signed singular values
Journal of Computational Physics · 2023
- Spatially quasi-periodic water waves of finite depth
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2023
- Numerical algorithms for water waves with background flow over obstacles and topography
Advances in Computational Mathematics · 2022
- High Performance Equilibrium Solvers for Integrated Magnetic Fusion Simulations
2022
- Spatially Quasi-Periodic Water Waves of Infinite Depth
Journal of Nonlinear Science · 2021
- Quasi-periodic travelling gravity–capillary waves
Journal of Fluid Mechanics · 2021
- arXiv (Cornell University)×11
- Quarterly of Applied Mathematics×2
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences×2
- SIAM Journal on Applied Mathematics×2
- AIP conference proceedings×2
- S.H. Kwon
Earth and Planetary Sciences · Purdue University West Lafayette
- Ziwei Li
Earth and Planetary Sciences · The Ohio State University
- Ningchuan Zhang
Earth and Planetary Sciences · Indiana University
- Yue Liu
Physics and Astronomy · Purdue University West Lafayette
- Min Chen
Physics and Astronomy · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
Claim or correct this profile