## Numerical modeling

#### MAP 502: A project on numerical modeling done in twos

### Winter 2017 / 2018 at Ecole Polytechnique

#### ♦Lecture notes:

Lecture notes (Nov 12, 2017 - final version)Lecture notes (Jul 30, 2017)

#### ♦Projects (subject to possible small updates) :

Projects (Sep 6, 2017)#### ♦Overview:

This course is devoted to an introduction to numerical modeling and project work done in groups of two/three. The aim is to give a flavor of scientific computing; namely mathematical modeling of physical, technical, etc. processes, development and analysis of numerical algorithms, and their implementation on a computer.#### ♦Time and place:

- Time: Monday, 8.30 - 12.45
- Place: PC 41 at Ecole Polytechnique

#### ♦Contents:

- Introduction to numerical modeling and differential equations
- Numerical methods for ODEs (IVP)
- Numerical methods for PDEs (BVP)
- Solution of the heat equation (IBVP)
- Newton's method for nonlinear problems

#### ♦Short bibliography:

- Please see Chapter 1 of the *.pdf version of the lecture notes.

#### ♦Evaluation:

- Exam in terms of a presentation : Dec 11, 2017
- In the final evaluation, the results of the project work will be presented in a short presentation including a short written report (approx. 10 pages)

#### ♦Contact:

- Thomas Wick: thomas.wick@cmap.polytechnique.fr

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