A Numerical Method for Solving Strongly Nonlinear Free-Surface Waves and the Corresponding Transverse Instability Analysis:

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Qiyi Zhou ~ June 9, 2009

Dynamics of Elastic Filaments in Stokes Flow:

Suspensions of filaments in the Stokes flow regime have a wide range of applications from fiber processing to nano-cargo transport systems. In this talk a slender-body formulation for multiple filaments immersed in Stokes flow will be presented. Analysis and numerical simulation results will show how the dynamics of semi-flexible filaments could lead to non-trivial filament transport.  Effects of hydrodynamic interactions will be quantified in terms of filament separation, filament flexibility, and slenderness. Finally a brief summary on recent attempts to efficiently model multi-filament flows will be presented. This work is an on-going collaboration with Mike Shelley (Courant Institute, New York University):

Yuan N. Young ~ June 11, 2009

Monte Carlo Simulation of Credit Portfolios:

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Bo Ren ~ June 16, 2009

Mathematical Models of Combustion:

In this talk I will give an introduction into the various classes of mathematical models that are used to investigate combustion systems. Starting with a full set of equations governing chemically reacting flows, I will demonstrate how asymptotic methods are used to extract simpler models. These reduced models retain the essential physics of the combustion process, but their simplicity makes them amenable to analysis. I will also briefly describe how these models can be used to investigate problems of current interest, such as the phenomena of self-wrinkling and self-stabilizing flames.

John K. Bechtold ~ June 18, 2009

Modeling with Bi-variate Geometric Distributions:

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Jing Li ~ June 23, 2009

A Planar Hamiltonian Model for Vortex Breakdown:

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Denis L. Blackmore ~ June 25, 2009

The Activity Phase of Neurons in a Reciprocally Inhibitory Network:

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Xinxian Huang ~ June 30, 2009

Mathematical Modeling of a Tissue Engineering Bioreactor:

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Linda J. Cummings ~ July 2, 2009

Signal Propagation in Dense Granular Systems:

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Xiaoni Fang ~ July 7, 2009

Intracellular Calcium Diffusion and Synaptic Neurotransmitter Release:

Calcium plays an important signaling role in a variety of crucial physiological processes, from gene transcription to muscle contraction. Notably, calcium is also indispensable for the functioning of the nervous system, where calcium ion influx into the synapse triggers the release of neurotransmitter, enabling the transmission of electric activity between two synaptically coupled neurons. Since the resting concentration of calcium is very low inside a cell, the influx of calcium through calcium channels is very localized. This localization of calcium action is further insured by various molecular substances that bind calcium, termed calcium buffers. Thus, understanding the spatio-temporal characteristics of calcium signaling requires mathematical modeling of calcium diffusion and buffering. In this talk I will review the basics of synaptic transmission and calcium regulation inside neural (and other) cells, and will provide a basic analysis of the partial differential equations that describe buffered calcium diffusion.

Victor V. Matveev ~ July 9, 2009

Acoustic and Fluid Forces on Perturbed Spherical Objects:

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Manmeet Kaur ~ July 14, 2009

Statistical Analysis in Brain Imaging

Brain Imaging has grown rapidly in recent years and it has many important applications, such as studying brain functions and diseases related to neuron activities. In this talk, I will introduce a popular imaging technique, functional Magnetic Resonance Imaging (fMRI) as well as its related statistical analyses

Chung Chang ~ July 16, 2009

Modeling Behavior of Parameters in Nonlinear Schrödinger Solitons:

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On Contact Line Induced Instability in Flow of Hanging Fluid Films:

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Te-Sheng Lin ~ July 20, 2009

A Reduced Uni-Directional Model for the Evolution of Nonlinear Ocean Surface Waves:

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Matt Malej ~ July 21, 2009

Introduction to Fast Numerical Algorithms and Some Examples:

In this talk, I will give an introduction to analysis-based fast numerical algorithms. I will also discuss some ongoing projects including second kind integral equation formulations for boundary value problems of partial differential equations, rational approximations and their applications, and interface problems with periodic boundary conditions.

Shidong Jiang ~ July 23, 2009

Worm Propagation Modeling and Analysis Using a Stochastic Epidemic Model:

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Lianzhe Xu ~ July 28, 2009

Acceleration of an Iterative Method for the Evaluation of High-Frequency Multiple Scattering Effects:

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Yassine Boubendir ~ July 30, 2009

Mechanistic Aspects Underlying the Effects of In-Vivo like Synaptic Inputs on an Entorhinal Cortex Stellate Cell Model:

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Dongwook Kim ~ August 4, 2009

Efficient Numerical Computation of Interfacial Fluid Flow:

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Michael Siegel ~ August 6, 2009