Partial Differential Equations

Katerina Nik

Assistant Professor, Applied Mathematics and Computational Sciences

Partial Differential Equations free boundary problems calculus of variations Mathematical Biology Microelectromechanical fluid dynamics mean curvature flow

Professor Nik studies partial differential equations that describe phenomena in biological growth processes, fluid dynamics, and mechanical engineering.

Estimation Problems for Partial and Fractional Differential Equations - Spring 2019

Apr 18, 12:00 - 13:00

B9 L2 H1

Fractional differential equation Partial Differential Equations

We will present some new methods for source and parameters estimation for partial and fractional differential equations and illustrate the results with some simulations and real applications.

Estimation Problems for Partial and Fractional Differential Equations - Autumn 2019

Nov 21, 12:00 - 13:00

B9 L2 H1 R2322

Fractional differential equations Partial Differential Equations Estimation problems Simulations algorithms real applications

I will present an overview of our activities around estimation problems for partial and fractional differential equations. I will present the methods and the algorithms we develop for the state, source and parameters estimation and illustrate the results with some simulations and real applications.