Description In this talk, I begin with a brief derivation of the nonlinear Schrodinger/Gross-Pitaevskii equations (NLSE/GPE) from Bose-Einstein condensates (BEC) and/or nonlinear optics. Then I will...
Description Abstract: The Poisson-Nernst-Planck equations are a system of nonlinear differential equations that describe flow of charged particles in solution. The talk is about the design of...
Event Topic Stochastic & Multiscale Modeling and Computation
Description Abstract: In this talk we describe a class of Integral Equations to compute Dirichlet-Neumann operators for the Helmholtz equation on periodic domains inspired by the recent work of Fokas...
Speaker Professor Jeffery Duan IIT Abstract Dynamical systems arising in engineering and science are often subject to random influences (“noise”). The noisy processes may be Gaussian or non-Gaussian...
Description The Drag Functional (Hydrodymamical Force acting on the Boundary) is choosen as objective functional for shape optimization of Navier-Stokes boundary. Since conjiugate gradient methods to...
Event Topic Stochastic & Multiscale Modeling and Computation
Event Topic Stochastic & Multiscale Modeling and Computation
Description The monodomain equation in computational cardiology, which describes the electrical activity of the heart, is a singularly perturbed reaction-diffusion equation. In this talk, I will...
Event Topic Stochastic & Multiscale Modeling and Computation
