ABSTRACT The goal of this talk is to show you a gallery of my recent works focusing on inverse problems with various applications ranging from image processing, computer graphics, and dynamic ident...

ABSTRACT Cosmic Microwave Background (CMB) is the thermal radiation remnant from the Big Bang. It is a primary source of information regarding the early universe....

ABSTRACT The goal of this talk is to present a simple proof of existence and uniqueness of the solution of the Leray problem for high viscosities and homogeneous or nonhomogeneous boundary conditio...

ABSTRACT Many interacting particle systems (IPS) are modelled as a large network of dynamical systems....

ABSTRACT Efficient and credible multi-query, real-time simulations constitute a critical enabling factor for digital twinning, and data-driven reduced-order modeling is a natural choice for achievi...

ABSTRACT The convexification method of the presenter is the single numerical method with the global convergence property for coefficient inverse problems with non-overdetermined data....

ABSTRACT Cells make fate decisions in response to dynamic environments, and multicellular structures emerge from multiscale interplays among cells and genes in space and time....

ABSTRACT The coupling method is a crucial tool in the study of Markov processes....

ABSTRACT Parameter identifications for differential equations represent a wide class of inverse problems....

ABSTRACT Liquid crystals are materials whose properties are intermediate between normal fluids and solid crystal, and have widespread use as the working substance for computer, TV and watch display...