Publications:

T.P. Schulze and P. Smereka, "An Energy Localization Principle and its Application to Fast Kinetic Monte Carlo Simulation of Heteroepitaxial Growth," Journal of the Mechanics and Physics of Solids 57 (2009) 521-538. PDF

M. Saum, T.P. Schulze and C. Ratsch, "Inverted List Kinetic Monte Carlo with Rejection applied to Directed Self-Assembly of Epitaxial Growth," Communications in Computational Physics 6 (2009) 553-564. PDF

M. Saum and T.P. Schulze, "The Role of Processing Speed in Determining Step Patterns during Directional Epitaxy," Discrete and Continuous Dynamical Systems B 11 (2009) 443-457. PDF

T.P. Schulze, "Simulation of Dendritic Growth using Kinetic Monte Carlo," Physical Review E. 78 (2008) art. no. 020601 (R) PDF

T.P. Schulze, "Efficient Kinetic Monte Carlo Simulation," Journal of Computational Physics 227 (2008) 2455-2462. PDF

P. Zoontjens, T.P. Schulze and S.C. Hendy, "Hybrid Method for Modeling Epitaxial Growth: Kinetic Monte Carlo plus Molecular Dynamics," Phys. Rev. B. 76 (2007): Art. No. 245418. PDF

W. Guo, T.P. Schulze and Weinan E, "Simulation of Impurity Diffusion in a Strained Nanowire Using Off-lattice KMC," Communications in Computational Physics. 2 (2007) 164-176. PDF

T.P. Schulze, "Morphological Instability during Directional Epitaxy," Journal of Crystal Growth 295 (2006) 188-201. PDF

D.M. Anderson and T.P. Schulze, "Linear and Nonlinear Convection in Solidifying Ternary Alloys," Journal of Fluid Mechanics 545 (2005) 213-243. PDF

T.P. Schulze and M.G. Worster, "A Time-Dependent Formulation of the Mushy Zone Free Boundary Problem," Journal of Fluid Mechanics 541 (2005) 193-202. PDF

T.P. Schulze, "A Hybrid Scheme for Simulating Epitaxial Growth," Journal of Crystal Growth 263 (2004) 605-615. PDF

T.P. Schulze, P. Smereka and Weinan E, "Coupling Kinetic Monte-Carlo and Continuum Models with Application to Epitaxial Growth," Journal of Computational Physics 189 (2003) 197-211. PDF

T.P. Schulze, "Kinetic Monte-Carlo Simulations with Minimal Searching," Phys. Rev. E 65 (2002): Art. No. 036704. PDF

T.P. Schulze and M.G. Worster, "Mushy Zones with Fully Developed Chimneys," Interactive Dynamics of Convection and Solidification, edited by P. Ehrhard Kluwer Academic Publishers (2001) 71-80. PDF

T.P. Schulze and Weinan E, "A Continuum Model for the Growth of Epitaxial Films," Journal of Crystal Growth 222 (2001) 414-425. PDF

T.P. Schulze, "A Note on Subharmonic Instabilities," Physics of Fluids 11 no. 12 (1999) 3573-3576. PDF

T.P. Schulze and R.V. Kohn, "A Geometric Model for Coarsening During Spiral-Mode Growth of Thin Films," Physica D 132 (1999) 520-542. PDF

T.P. Schulze and M.G. Worster, "Weak Convection, Liquid Inclusions and the Formation of Chimneys in Mushy Layers," Journal of Fluid Mechanics 388 (1999) 197-215. PDF

T.P. Schulze and M.G. Worster, "A Numerical Investigation of Steady Convection in Mushy Layers During the Directional Solidification of Binary Alloys," Journal of Fluid Mechanics 356 (1998) 199-220. PDF

T.P. Schulze and S.H. Davis, "Shear Stabilization of a Solidifying Front: Weakly Nonlinear Analysis in a Long-Wave Limit," Physics of Fluids 8 no. 9 (1996) 2319-2336. PDF

S.H. Davis and T.P. Schulze, "Effects of Flow on Morphological Stability During Directional Solidification," Metallurgical and Materials Trans. A---Physical Metallurgy and Material Science 27 no. 3 (1996) 583-593. PDF

T.P. Schulze and S.H. Davis, "Shear Stabilization of Morphological Instability During Directional Solidification," Journal of Crystal Growth 149 (1995) 253-265. PDF

T.P. Schulze and S.H. Davis, "The Influence of Oscillatory and Steady Shears on Interfacial Stability During Directional Solidification," Journal of Crystal Growth 143 (1994) 317-333. PDF


Volumes Edited:

T.P. Schulze, X. Feng, V. Alexiades and T. Tang, editors, "Multiscale Modeling and Simulation in Materials Science," Proceedings of the 2007 John H. Barrett Memorial Lectures, Journal of Scientific Computing, 37 no. 1 / Oct. 2008.

Xiabing Feng and Tim P. Schulze, editors, "Recent Advances in Numerical Methods for Partial Differential Equations and Applications," Proceedings of the 2001 John H. Barrett Memorial Lectures, Trends in Computational Mathematics, May 10-12, 2001, The University of Tennessee.