Postgraduate Studies Courses Hydraulic & Environmental Engineering for Sustainable Infrastructures
Applied Mathematics
Instructor: Petropoulou Eugenia
Course code: R16113
e-class: https://eclass.upatras.gr/courses/CIV1555/
Course content:

  • Dimensional analysis.
  • Curvilinear coordinate systems.
  • Nonlinear systems of ordinary differential equations (equilibrium points, stability theory).
  • Perturbation methods and boundary layer analysis.
  • Wave solutions of partial differential equations (travelling waves, standing waves, shock waves, solitons).
  • Green functions.
  • Implementation of the theoretical and approximate methods relevant to the the abovemen-tioned topics, using symbolic packages (e.g. Mathematica or MUPAD of Matlab).
  • Applications to civil engineering problems, such as nonlinear oscillations problems, problems in fluid mechanics, etc.


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