John A. Trangenstein, Professor Emeritus of Mathematics and CNCS: Center for nonlinear and complex systems

John A. Trangenstein

Office Location:  24D Physics Building, Durham, NC 27708
Office Phone:  (919) 660-2824
Email Address: send me a message
Web Page:


Ph.D.Cornell University1975
B.S.The University of Chicago1972

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

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

Approximation theory • Computational complexity • Equations of motion • Equations of state • Finite differences • Finite element method • Granular flow • Granular materials • Mass transfer • Mechanics • Oil wells • Plasticity • Solids

Current Ph.D. 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

  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, JA, Multi-scale iterative techniques and adaptive mesh refinement for flow in porous media, Advances in Water Resources, vol. 25 no. 8-12 (August, 2002), pp. 1175-1213, Elsevier BV, ISSN 0309-1708 [Gateway.cgi], [doi]  [abs]
  4. 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]
  5. Bi, Z; Higdon, D; Lee, H; Trangenstein, J, Upscaling Tensorial Permeability Fields Based on {G}Gaussian Markov Random Field Models and the Hybrid Mixed Finite Element Method, Spe Journal (2002) [ps]