William K Allard, Professor and Director of Undergraduate Studies

William K Allard
Office Location:  029A Physics Bldg
Office Phone:  (919) 660-2861
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~wka

Teaching (Fall 2008):

Office Hours:

Monday, Wednesday and Friday, 1-3PM, and by appointment
Education:

Villanova University, Sc.B., June 1963
Brown University, Ph.D., June 1968
Research Interests: Scientific computing, particularly distributed computing; differential geometry; geometric measure theory; partial differential equations.

1. My main research effort will be to continue my collaboration with the Data Driven Modeling and Analysis group at LANL. This group works for the most part in the area of image processing. 2. I will continue to work as an investigator on Tom Kepler's NIH contract. My contribution is to provide analyis and parallel computing support for simulations.

Current Ph.D. Students  

Recent Publications

  1. W.K. Allard, Total variation regularization for image denoising: I. Geometric theory using total variation regularization; II Examples., SIAM Journal on Mathematical Analysis, vol. 39 no. 4 (November, 2007) [~wka]  [abs]
  2. W.K. Allard, Total variation for image denoising: II. Examples, SIAM Journal on Imaging Sciences (Submitted, 2007) [pdf]
  3. W.K. Allard, Total variation for image denoising: III. Examples, SIAM Journal on Imaging Sciences (Submitted, 2007) [pdf]
  4. William K. Allard, The reconstruction of surfaces in R3 by reflection, The Journal of Geometric Analysis, vol. 9 no. 5 (Accepted, 0) [ps]
  5. William K Allard, An Introduction to the Deferred Execution Tool, Proceedings of Ninth SIAM Annual Conference on Parallel Processing for Scientific Computing, (SIAM) March 1999
Recent Grant Support