PhD thesis – Marianna Lytova (20/9/2017)

Marianna successfully defended her PhD thesis:  on Modeling, analysis and simulation in nonperturbative laser-gas interaction



Research interests…

Analysis: Evolution partial differential equation, pseudo- and para-differential calculus, non-conservative quasi-linear hyperbolic systems, analysis of domain decomposition methods for quantum wave equations,  spectrum of the Dirac equation, spectral pollution.

Numerics: fast spectral methods, finite volume methods, domain decomposition methods and high performance computing, multiscale problems,  domain decomposition methods for many-body problems. Mainly for quantum and laser physics.

Laser-physics modeling & simulations:  non-perturbative nonlinear optics, laser-filamentation, Maxwell-Schroedinger-Plasma coupling, linear and circular laser-molecule interaction, ionization.

More recently I am interested in quantum computing and simulations, and how numerical analysis can contribute to develop efficient & accurate quantum algorithms.