Numerical Methods for PDEs and applications

Additional Info

  • ECTS credits: 6
  • University: University of Nice - Sophia Antipolis
  • Semester: 3
  • Objectives:

     

    The aim of this course is to introduce some tools in mathematical modelling and numerical simulation. In a first step, we will address finite difference methods for PDEs, with a special focus on notions like consistency, stability, numerical diffusion, numerical dispersion and convergence. Theoretical analysis of the numerical schemes will be addressed in some relevant examples. In a second step, we will present some principles and results of the variational approach for stationary models. Meanwhile, we will address element finite methods, in the 1d case and possible in higher dimension. We will code examples using the software Freefem (http://www.freefem.org)

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