Numerical Methods for PDEs and Their Applications in Biology

Ching-Shan Chou
Mathematics, The Ohio State University

(January 5, 2011 10:00 AM - 11:25 AM)

Numerical Methods for PDEs and Their Applications in Biology

Abstract

January 5: ODE: explicit scheme, accuracy, stability, convergence, Runge-Kutta, RK45

January 7: ODE: implicit scheme, ode15s

January 12: parabolic equation: diffusion, accuracy, stability

January 14: parabolic equation: diffusion-reaction

January 19: parabolic equation: stiffness

January 21: elliptic equation, finite difference, finite element

January 26: elliptic equation, linear, nonlinear, iterative scheme

January 28: elliptic equation, multigrid

February 2: hyperbolic equation

February 4: hyperbolic equation

February 9: hyperbolic equation

February 11: introduction to free interface problems and numerical techniques

February 16: guest lecture: Monte-Carlo methods

February 18: guest lecture: SODEs

March 2: mapping to a fixed domain

March 4: conformal mapping

March 9: level set method

March 11: Other techniques