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 (Hydraulic Force acting on the Boundary) is chosen as the objective functional for shape optimization of the Navier-Stokes boundary. Since conjugate 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
Description Our study aims to find out under which condition a numerical method preserves the energy dissipation law of a system. in this case the system is ions transport in ions channels. We will...
Description Stochastic differential equations (SDEs) driven by non-Gaussian Levy noises have attracted much attention recently, the authors studied a scalar SDE driven by a non-Gaussian Levy motion...
Description We use immersed boundary method to incorporate the thermal noise into the model. A delta function is used to couple the fluid with the membrane. And a finite difference discretization of...
