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Numerical analysis and scientific calculus Description

Key Elements

Code

MATH 408

Formation

M1 Mathematics

Semester

2

Credits

6

Number of Teaching Hours

36

Number of Tutoring Sessions

24

Number of Laboratory Sessions

0

This course is optional

Content

Objective

Content

• Nonlinear systems: fixed point methods (contraction fixed point, monotonic fixed point, rate of convergence). Newton methods (variants of Newton’s method, incomplete Newton, secant method, quasi Newton …). • Optimization: Definitions and review on differential calculus. Optimization without constraint. Algorithms for the optimization without constraint. • Numerical solving of differential equations: Introduction. Generalities on the one step methods. The Runge-Kutta methods. • Partial differential equations: One dimensional boundary value problems. Two dimensional elliptic problems. • The Method of finite elements.