Speaker:
Wenrui Hao, University of
Notre Dame
Title:
Numerical Methods for Nonlinear PDEs with Biological Applications
Abstract:
This talk will cover some recent progress on numerical methods to
solve systems of nonlinear partial differential equations
(PDEs) arising from biology and physics. This new approach,
which is used to compute multiple solutions and bifurcation of
nonlinear PDEs, makes use of polynomial systems (with thousands of
variables) arising by discretization. Examples from hyperbolic
systems, tumor growth models, and a blood clotting model will be
used to demonstrate the ideas.