## William K. Allard, Professor

Office:029A Physics Building; Phone: 919-660-2861; Email:wka@math.duke.edu; FAX:
919-660-2821.

### Office Hours for Fall Semester 2004

Monday, Wednesday and Friday, 11:15am-12:15pm, 2:00pm-3:00pm, and by appointment.

### Education

Sc.B. Villanova University, Ph.D. Brown University

### Teaching

Math 203, 204 - Basic Analysis I and II
Math 187 - Introduction to Mathematical Logic
Math 378 - Motion by Mean Curvature
Math 135 - Probability
Math 103.02 - Intermediate Calculus
Math 282.01 - Elliptic Partial Differential Equations
Math 107.02 - Linear Algebra and Differential Equations
Math 131 - Elementary Differential Equations
Math 114 - Applied Mathematical Analysis II
Math 123S - Geometry
Math 224 - Scientific Computing I

### Research Interests

The KDI project
Parallel computing
A spiral wave in a Luo-Rudy system
Calculus of Variations

### Recent Papers and Presentations

Differential geometry upstairs.
PDF Version; talk given in Graduate/Faculty
Seminar on January 29, 2010.
A boundary approximation alorithm for planar domains. Preprint.
PDF Version
Total variation regularization for image denoising I: Geometric
theory. To appear in SIAM Journal on Mathematical Analysis.
PDF
Version
Total variation regularization for image denoising II: Examples.
Submitted for publication.
PDF
Version
Total variation regularization for image denoising III: Examples.
PDF
Version
The Deferred Execution Tool Postscript Version
On the Performance of a Distributed Object Oriented Adaptive Mesh
Refinement Code (with John Trangenstein) Postscript Version
The reconstruction of surfaces in **R**^{3} by reflection
Postscript Version

### Other Stuff

Here is our new granddaughter!
Here are some maps to
our home.

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Department of Mathematics *
Duke University

Last modified: August 22, 2003