Analyse des équations aux dérivées partielles.
Undergraduate. Full course (theoretical and exercise lessons), École Nationale des Ponts et Chaussées, 2023
At the end of this module, students should be familiar with the main classes of partial differential equations; be familiar with the fundamental mathematical concepts needed to analysis and solve partial differential equations, in particular the leading theories of 21st century analysis, such as measure theory and distribution theory; be able to use the essential methods for solving partial differential equations (characteristic methods, series decomposition or Fourier transform); be able to implement these methods numerically for solving partial differential equations using algorithms implemented in the Python language.