On this page you will find resources for the Brown-UPMC numerical analysis summer school.
If you have any questions, please feel free to contact Nat Trask .
Campus Map
Announcements
Please refer to this page for announcements and information relating to the program.
Schedule
We will update this section with more schedule details as they become available.
Please note the following important events:
- Week 1. July 6th - 10th :
- Week 2. July 13th - 18th :
Class Files
Presentations given during the program will be posted here.
Presentations
Resources
MATLAB
Assignments
Please send completed assignments to nathaniel_trask@brown.edu with the subject: BROWN-UPMC ASSIGNMENT assignmentNumber NAME yourName
Assignment 1 - Providence weather and the Monty hall problem
Assignment 2 - Solving the Poisson problem with finite differences
Assignment 3 - Direct solvers for linear systems of equations
Assignment 4 - Iterative solvers for linear systems of equations
Assignment 5 - Numerical solution of non-linear equations
Assignment 6 - Symplectic integrators for ODEs
Assignment 7 - Shooting methods for boundary value problems
Assignment 8 - Fundamentals of stability for numerical methods
Lecture 9 - Introduction to partial differential equations
- No exercise today - use the time after lecture to work on your projects.
Assignment 10 - Introduction to spectral collocation
Assignment 11 - Introduction to spectral Galerkin
Assignment 12 - Tying everything together! Designing a solver for unsteady PDEs