Level Set for the Dynamics
Numerical PDE
Introduction
A study of level set methods for tracking moving interfaces and dynamic implicit surfaces, together with the numerical PDE theory (finite difference/element schemes, stability, and convergence) that underlies them. The goal is a systematic path from the continuous formulation of the level set equation to its stable, convergent numerical solution.
References
- Stanley Osher and Ronald Fedkiw, Level Set Methods and Dynamic Implicit Surfaces, Applied Mathematical Sciences Vol. 153, Springer, New York, 2003. ISBN 978-1-4684-9251-4.
- Seongjai Kim, Numerical Methods for Partial Differential Equations, Department of Mathematics and Statistics, Mississippi State University, Dec 11, 2023.
| Title | Source | View | Material |
|---|---|---|---|
| Implicit Functions & Signed Distance Functions | Osher & Fedkiw, Ch. 1-2 | View | |
| Basic Finite Differential Methods | Seongjai Kim Ch.2 | View | |
| Basic Differential Equations for the Motions | Osher & Fedkiw, Ch. 3 | View | |
| Motion Involving Mean Curvature | Osher & Fedkiw, Ch. 4 | View | |
| Hamilton-Jacobi Equations | Osher & Fedkiw, Ch. 5 | View |