Major Course References for AMSC 698V - B. Li

AMSC 698V: Advanced Topics in Applied Mathematics, Fall, 2003


Instructor: Bo Li

Major Course References

  1. A.-L. Barabási and H. E. Stanley, Fractal concepts in surface growth, Cambridge Univ. Press, 1995.
  2. K. Bhattacharya, Theory of martensitic microstructure and the shape-memory effect, 2003.
  3. R. E. Caflisch, Mathematical problems in materials science, Unpublished lecture notes, UCLA, 1999.
  4. W. E and B. Engquist, The heterogeneous multi-scale methods, Comm. Math. Sci., 1:87-133, 2003.
  5. P. Fife, Dynamics of internal layers and diffusive interfaces, SIAM, 1988.
  6. B. Li, Weak convergence methods for variational problems modeling crystalline microstructure, Unpublished lecture notes, UCLA, 1998.
  7. S. Müller, Variational models for microstructure and phase transitions, Lecture notes, Max-Planck Inst. for Math. in Sci., Leipzig, 1998.
  8. S. Osher and R. Fedkiw, Level set methods and dynamic implicit surfaces, Springer, 2003.
  9. A. Pimpinelli and J. Villain, Physics of crystal growth, Cambridge Univ. Press, 1998.
  10. J. A. Sethian, Level set methods and fast marching methods, 1999.