PUBLICATIONS

T. P. Schulze, "An Extensive-Form Fictitious Play Algorithm with Local Best Decision Updates" under review

D. M. Anderson, T. P. Schulze, and B. N. Wahl, "Not Playing with a Full Deck?", Recreational Mathematics Magazine, 11(18), pp. 51-64 (2024) PDF

M. Abramson, H. J. Coleman, P. J. Simmonds, T. P. Schulze, and C. Ratsch, "Kinetic Monte Carlo Simulations of Quantum Dot Self-Assembly," Journal of Crystal Growth 126846 (2022) PDF

‍J. Hicks and T. P. Schulze, “Examining Saddle Point Searches in the Context of Off-Lattice Kinetic Monte Carlo,” Communications In Computational Physics 30 (2021) pp. 749 - 770 PDF

‍T. Krumwiede, K. D. Dinh, C. Ratsch, and T. P. Schulze, "The Influence of Edge Energy on Step Flow Instability for Crystals with Bravais Versus Non-Bravais Lattice Structures," Commun. Comput. Phys., DOI: 10.4208/cicp.OA-2018-0312 Vol 27, N 1 (2020) pp. 70 - 86 PDF

T. Krumwiede and T. P. Schulze, "On the Edge Energy of Graphene" PDF

H. M. Ruzaygat and T. P. Schulze, "A Rejection Scheme for Off-Lattice Kinetic Monte Carlo Simulation," Journal of Chemical Theory and Computation 14 (1) (2018) pp. 48 - 54 PDF

T. Krumwiede and T. P. Schulze, "Dendritic Growth Shapes in Kinetic Monte Carlo Models," Modeling and Simulation in Materials Science and Engineering 25 (2017) Art. no. 025009 PDF

K. L. Golenbiewski and T. P. Schulze, "Analysis of an Energy Localization Approximation Applied to Three-Dimensional Kinetic Monte Carlo Simulations of Heteroepitaxial Growth," Journal of the Mechanics and Physics of Solids 95 (2016) pp. 708 - 718 PDF
 
D. Schebarchov, T. P. Schulze, and S. C. Hendy, "Degenerate Ising Model for Atomistic Simulation of Crystal-melt Interfaces," Journal of Chemical Physics 140 (2014) Art. no. 074704 PDF

H. Boateng, T. P. Schulze, and P. Smereka, "Approximating Off-Lattice Kinetic Monte Carlo," SIAM Journal of Multiscale Modeling & Simulation 12 (2014) pp. 181 - 199 PDF

W. Chen, H. Chen, H. Lan, P. Cui, T. P. Schulze, W. Zhu, and Z. Zhang, "Suppression of Grain Boundaries in Graphene Growth on Superstructured Mn-Cu (111) Surface," Physical Review Letters 109 (2012) Art. no. 265507 DOI
   
T. P. Schulze and P. Smereka, "Kinetic Monte Carlo Simulation of Heteroepitaxial Growth: Wetting Layers, Quantum Dots, Capping, and NanoRings," Phys Rev B 86 (2012) Art. no. 235313 PDF

N. R. Gewecke and T. P. Schulze, "Solid-Mush Interface Conditions for Mushy Layers," Journal of Fluid Mechanics 689 (2011) pp. 357 - 375 PDF

N. R. Gewecke and T. P. Schulze, "The Rapid Advance and Slow Retreat of a Mushy Zone," Journal of Fluid Mechanics 674 (2011) pp. 227 - 243 PDF

T. P. Schulze and P. Smereka, "Simulation of Three-Dimensional Strained Heteroepitaxial Growth using Kinetic Monte Carlo," Communications in Computational Physics 10 (#5) (2011) pp. 1089 - 1112 PDF

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) pp. 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) pp. 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) pp. 443 - 457 PDF

T. P. Schulze, "Simulation of Dendritic Growth into an Undercooled Melt using Kinetic Monte Carlo," Physical Review E 78 (2008) Art. no. 020601 PDF

T. P. Schulze, "Efficient Kinetic Monte Carlo Simulation," Journal of Computational Physics 227 (2008) pp. 2455 -  462 PDF

P. Zoontjens, T. P. Schulze and S. C. Hendy, "A Hybrid Kinetic Monte Carlo-Molecular Dynamics Method for Modeling Epitaxial Growth," 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) pp. 164 - 176 PDF

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

D. M. Anderson and T. P. Schulze, "Linear and Nonlinear Convection in Solidifying Ternary Alloys," Journal of Fluid Mechanics 545 (2005) pp. 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) pp. 193 - 202 PDF

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

T. P. Schulze, P. Smereka and W. E, "Coupling Kinetic Monte-Carlo and Continuum Models with Application to Epitaxial Growth," Journal of Computational Physics 189 (2003) pp. 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) pp. 71 - 80 PDF

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

T. P. Schulze, "A Note on Subharmonic Instabilities," Physics of Fluids 11 no. 12 (1999) pp. 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) pp. 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) pp. 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) pp. 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) pp. 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) pp. 583 - 593 PDF

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

X. Feng and T. 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