AbstractAccelerated by the ever-growing power of computers, computational materials science has underpinned materials modeling and simulation. Many ingredients in this field, from both electronic structure and atomistic levels, can be (re)formulated into optimization problems. Numerous optimization approaches have been constantly emerging, unleashing their exceptional efficiency, robustness, an...
AbstractIn this talk, I will demonstrate the higher order linearization approach to solve several inverse boundary value problems for nonlinear PDEs, modeling for example nonlinear optics, including nonlinear magnetic Schrodinger equation and time-dependent Schrodinger equation. Considering partial data problems, the problem will be reduced to solving for the coefficient functions from their in...