Hyperbolic PDEs
MATH 509
Spring 2014



Instructor: Horng, Tzyy-Leng
Class Location: Science Hall 406
Class Time: Tue. 1-4 PM
Office Hours: Wed. 10-12 AM


Grade Distribution

 40% homeworks
30% midterm
30% final

Text Book

 Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations, Maurizio Falcone and Roberto Ferretti, SIAM, 2014.


Syllabus

1: Models and motivations.
2: Viscosity solutions of ?rst-order PDEs.
3: Elementary building blocks.
4: Convergence theory.
5: First-order approximation schemes.
6: High-order SL approximation schemes.
7: Fluid Dynamics.
8: Control and games.
9: Front propagation.