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 R3 by reflection Postscript Version
  • Other Stuff

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

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    Last modified: August 22, 2003