This area involves study and research on theoretical and implementational aspects of numerical simulations: applied mathematics (functional analysis, partial differential equations, dynamical systems), numerical analysis (a- priori and a-posteriori error estimation, adaptive algorithms, stochasticity), computer science (high performance linear algebra, parallel computing), software engineering (programming in Fortran 90, C, C++ , data structures), data science, artificial intelligence and machine learning, visualization and geometry modeling, and mathematical modeling of multiscale, multiphysics problems.
Applications span across all disciplines of mechanics and related coupled, multiphysics problems: computational solid mechanics (fractures, phase transitions, plasticity, pattern formation), computational fluid mechanics and transport, subsurface (multiphase flow in porous media) and surface fluid flows, environmental modeling and remediation, computational wave propagation (elastodynamics, acoustics, electromagnetics), bioinformatics and bioengineering, and computational material science. The program is closely related to graduate programs in Engineering Mechanics and the interdisciplinary program in Computational Science, Engineering and Mathematics.
