Numerical methods for evolutionary PDE
Class : Monday, Wednesday, Friday at 9:00-10:30 AM
Place : Auditorium
Grading : Homework (30), midterm (30), final (40)
First class: 2 Jan 2026
Students
- Kartick Samanta (2nd Year IntPhD)
- Devansh Sonigra (3rd Year IntPhD)
- Sagar Gohri (3rd Year IntPhD)
- Jalil Khan (PostDoc)
- Poonam Rani (PostDoc)
Syllabus
Model equations, finite difference method, high order accuracy, well-posed problems, Stability and convergence, hyperbolic PDE, parabolic PDE, dispersion and dissipation properties, discontinuous solutions, Energy method, Laplace transform method, second order wave equations
Codes
References
- B. Gustafsson, Heinz-Otto Kreiss, J. Oliger: Time dependent problems and difference methods
- B. Gustafsson: High order difference methods for time dependent PDE
- J. C. Strikwerda: Finite difference schemes and PDE
- A. Tveito and R. Winther: Introduction to PDE: A computational approach
- Heinz-Otto Kreiss, J. Lorenz: Initial-Boundary value problems and the Navier-Stokes equations