CNCS Center for Nonlinear and Complex Systems
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John Trangenstein, Professor of Mathematics

John Trangenstein
Contact Info:
Office Location:  029C Physics
Office Phone:  (919) 660-2824
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~johnt

Teaching (Fall 2013):

  • MATH 561.01, SCIENTIFIC COMPUTING Synopsis
    Physics 119, TuTh 08:30 AM-09:45 AM
Education:

Ph.D., Applied Mathematics, 1975, Cornell University B.S., Mathematics, 1972, University of Chicago
Specialties:

Applied Math
Nonlinear Dynamics
Geophysics
Heart, Electrophysiology
Research Interests: Adaptive mesh refinement, Multigrid preconditioners

  • Adaptive mesh refinement for flow in porous media
  • Adaptive mesh refinement for reaction-diffusion problems

Current Ph.D. Students   (Former Students)

  • Matt Bowen  
Postdocs Mentored

  • Chisup Kim (2001/09-2003/05)  
  • Hwanho Kim (1999/09-1999/12)  
  • Zhuoxin Bi (1999/08-2002/07)  
  • Ilya Mishev (1996/09-1997/05)  
Recent Publications   (More Publications)

  1. J. Trangenstein, Numerical Solution of Hyperbolic Partial Differential Equations (May, 2008), Cambridge University Press, ISBN 052187727X (http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521877275.)  [abs]
  2. with John A. Trangenstein and Chisup Kim, Operator Splitting and Adaptive Mesh Refinement for the Luo-Rudy I Model, Journal of Computational Physics, vol. 196 (2004), pp. 645-679, Elsevier  [abs]
  3. Trangenstein, John A. and Bi, Zhuoxin, Multi-Scale Iterative Techniques and Adaptive Mesh Refinement for Miscible Displacement Simulation, Proceedings - SPE Symposium on Improved Oil Recovery (2002), pp. 924 - 936, Tulsa, OK, United States  [abs]
  4. Zhuoxin Bi, David Higdon, Herbert Lee and J. Trangenstein, Upscaling Tensorial Permeability Fields Based on {G}Gaussian Markov Random Field Models and the Hybrid Mixed Finite Element Method, SPE Journal (Submitted, 2002) [ps]
  5. J. Trangenstein and Zhuoxin Bi, Multi-Scale Iterative Techniques and Adaptive Mesh Refinement for Flow in Porous Media, Advances in Water Resources, vol. 25 (2002), pp. 1175--1213 [ps]