William K Allard, Professor

Contact Info:

Office Location:	029A Physics Building
Office Phone:	(919) 660-2861
Email Address:
Web Page:	http://www.math.duke.edu/~wka

Teaching (Fall 2008):

• MATH 187.01, INTRO TO MATH LOGIC Synopsis

  Physics 235, TuTh 01:15 PM-02:30 PM

• MATH 203.01, BASIC ANALYSIS I Synopsis

  Physics 235, TuTh 02:50 PM-04:05 PM

Office Hours:

Tuesday and Thursday, 10am to noon 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   (Former Students)

Recent Publications   (More 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

• Multiscale Integrative Immunology for Adjuvant Multiscale Integrative Immunology for Adjuvant Development, National Institutes of Health, N01-AI-50019, 2005/10-2010/10.      
• LANL Subcontract, DOE, 12885-001-05, 2005/04-2008/03.