Ziyang Liu, Sivaramakrishnan Natarajan, et al.
VLDB
A challenging paradigm in computational sciences is the coupling of the continuum, the atomistic, and the quantum descriptions of matter for a unified dynamic treatment of a single physical problem. We described the recent achievement of such a goal. We have spanned the length scales in a concerted simulation comprising the finite-element method, classical molecular dynamics, quantum tight-binding dynamics and seamless bridges between these different physical descriptions. We illustrate and validate the methodology for rapid crack propagation in silicon.
Ziyang Liu, Sivaramakrishnan Natarajan, et al.
VLDB
Frank R. Libsch, Takatoshi Tsujimura
Active Matrix Liquid Crystal Displays Technology and Applications 1997
Hang-Yip Liu, Steffen Schulze, et al.
Proceedings of SPIE - The International Society for Optical Engineering
B. Wagle
EJOR