John Trangenstein, Professor of Mathematics

Office Location:	029C Physics Bldg
Office Phone:	(919) 660-2824
Email Address:
Web Page:	http://www.math.duke.edu/~johnt

Teaching (Fall 2008):

• MATH 103.07, INTERMEDIATE CALCULUS Synopsis

  Physics 047, MWF 08:45 AM-09:35 AM

• MATH 107.05, LINEAR ALGEBRA & DIFF EQUATION

  Physics 047, MWF 10:20 AM-11:10 AM

Education:

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

Specialties:

Brown
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  

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

1. J. Trangenstein, Numerical Solution of Hyperbolic Partial Differential Equations (May, 2008), Cambridge University Press, ISBN 052187727X  [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]