Computational Mathematics

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Research in computational mathematics focuses on nonlinear differential equations and dynamical systems that arise in the physical, chemical, and biological sciences, ecology, and climate modeling and engineering. Among the equations considered are finite-dimensional dynamical systems, reaction-diffusion systems, hyperbolic conservation laws, multiscale equations ,and differential delay equations. 

Topics that are addressed for these systems include homogenization theory, the existence and stability of nonlinear waves and patterns, phase transitions, domain coarsening, model reduction, development of emulators/surrogate reduced-order models, approximation theory, and mathematical statistical theories. The CICS emphasizes the combination of computational innovation and mathematical theory. 

Faculty involved in this research area include Bei Hu, Jonathan Hauenstein, and Alan Lindsay.