Major Course References for AMSC 698V - B. Li
AMSC 698V: Advanced Topics in Applied Mathematics, Fall, 2003
MATHEMATICAL AND COMPUTATIONAL PROBLEMS
IN MATERIALS SCIENCE
Instructor: Bo Li
Major Course References
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A.-L. Barabási and H. E. Stanley, Fractal concepts in surface
growth, Cambridge Univ. Press, 1995.
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K. Bhattacharya, Theory of martensitic microstructure and the
shape-memory effect, 2003.
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R. E. Caflisch, Mathematical problems in materials science,
Unpublished lecture notes, UCLA, 1999.
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W. E and B. Engquist, The heterogeneous multi-scale methods,
Comm. Math. Sci., 1:87-133, 2003.
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P. Fife, Dynamics of internal layers and diffusive interfaces,
SIAM, 1988.
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B. Li, Weak convergence methods for variational problems modeling
crystalline microstructure, Unpublished lecture notes, UCLA, 1998.
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S. Müller, Variational models for microstructure and phase
transitions, Lecture notes, Max-Planck Inst. for Math. in Sci.,
Leipzig, 1998.
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S. Osher and R. Fedkiw, Level set methods and dynamic implicit
surfaces, Springer, 2003.
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A. Pimpinelli and J. Villain, Physics of crystal growth, Cambridge
Univ. Press, 1998.
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J. A. Sethian, Level set methods and fast marching methods, 1999.