John A. Trangenstein, Professor Emeritus

Education

B.S. University of Chicago (1972)
Ph.D. Cornell University (1975)

Texts

• Numerical Solution of Hyperbolic Partial Differential Equations (Cambridge University Press, 2009)
  free software accompanying Numerical Solution of Hyperbolic Partial Differential Equations
• Numerical Solution of Elliptic and Parabolic Partial Differential Equations (Cambridge University Press, 2013)
  free software accompanying Numerical Solution of Elliptic and Parabolic Partial Differential Equations
• Scientific Computing Vol I: Linear and Nonlinear Equations (Springer Verlag, 2018)
• Scientific Computing Vol II: Eigenvalues and Optimization (Springer Verlag, 2018)
• Scientific Computing Vol III: Approximation and Integration (Springer Verlag, 2018)

Research Interests

• Electrical Wave Propagation in the Heart
  • Electrical Wave Propagation in the Heart
• Multi-Phase Flow in Porous Media
  • Mathematical Modeling
  • High-Resolution Difference Methods
  • Adaptive Mesh Refinement
  • Multi-level Iterative Methods
• Granular Flow
  • Front Tracking
  • Adaptive Mesh Refinement
• Localization of Molecular Dynamics within Continuum Methods
• Shock Propagation in Elastic-Plastic Solids