Jon Wilkening

Primary Research Area: 
Applied Mathematics
Additional Research Areas: 
Mathematical Analysis
Research Interests: 
Applied mathematics, Numerical methods, Partial Differential Equations
Contact Information
1051 Evans Hall
wilken [at] math [dot] berkeley [dot] edu
Selected Publications: 
  1. C. H. Rycroft and J. Wilkening, Computation of three-dimensional standing water waves, J. Comput. Phys., 255 (2013) 612-638.
  2. J. Wilkening and J. Yu, Overdetermined shooting methods for computing standing water waves with spectral accuracy, Comput. Sci. Disc. 5 (2012) 014017.
  3. M. O. Williams, J. Wilkening, E. Shlizerman and J. N. Kutz, Continuation of periodic solutions in the waveguide array mode-locked laser, Physica D, 240/22 (2011), pp. 1791-1804.
  4. Jon Wilkening, Breakdown of self-similarity at the crests of large amplitude standing water waves, Phys. Rev. Lett, 107 (2011) 184501.
  5. Wilkening, Jon and Hosoi, A. E. (2008). Shape optimization of a sheet swimming over a thin liquid layer. J. Fluid Mech. 601 25-61. [MR] [GS?]
  6. Wilkening, Jon and Borucki, Len and Sethian, J. A. (2004). Analysis of stress-driven grain boundary diffusion. SIAM J. Appl. Math. 64 No.6, 1839-1863 (electronic). [MR] [GS?]