Credits

6 ECTS, CM 16.5h, TD 16.5h, TP 16.5h

• Partial differential equations and numerical methods
  • ECTS: 6
  • Course code: GBX7AM11 (UGA) or WMM7AM11 (INP)
  • Lecture:
    • ECTS: 3
    • Course code: GBX7AM09 (UGA)
  • Lab:
    • ECTS: 3
    • Course code: GBX7AM12 (UGA)

Instructors

• Frédérique Charles
• Eric Blayo
• Beatrice Battisti
• Ibrahim Cheddadi
• Martin Schreiber

Description

This course gives an overview of modelling using partial differential equations.

• Types of equations, conservation laws

• Finite difference methods

• Laplace equation

• Parabolic equations (diffusion)

• Hyperbolic equations (propagation)

• Nonlinear hyperbolic equations

• This course includes practical sessions.

Course Organization

3 ECTS = Lecture 16.5h + Lab 16.5h - Course Joined with Ensimag 2A 4MMMEDPS

3 ECTS = Lecture 16.5h + Lab 1.5h - MSIAM specific course (in-depth and practical session)

Assessment

• 1/2 practical
• 1/2 final written exam

Recommended prerequisites

• Basic notions of real analysis, including Taylor’s formula
• functions of several real variables
• partial derivative methods for solving first-order ordinary differential equations (linear case, variation of constants method, separable ODEs…)
• Basic notions on Fourier series and Fourier transform.