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Numerical Analysis

Applied Mathematics: an Introduction to Scientific Computing

  • Frontal Lectures (about 30h), Interleaved with Laboratories (about 30h): total 60h
  •  This course is shared between the PhD in Mathematical Analysis, Modeling, and Applications, the Master in High Performance Computing (www.mhpc.it) and the Laurea Magistrale in Matematica

 

Topics in Computational Fluid Dynamics

 

  • Introduction to CFD, examples.
  • Incompressible flows.
  • Numerical methods for potential and thermal flows
  • Numerical methods for viscous flows: steady Stokes equations
  • Discretization techniques for steady and unsteady Navier-Stokes equations.
  • Advanced optional topic (1): compressible flows.
  • Advanced optional topic (2): fluid and structure interaction.

Material will be provided during classes.

Advanced Topics in Numerical Solutions of PDEs

  • Isogeometric Analysis Techniques (LH)
  • Boundary Element Methods (LH)
  • Numerical Optimal Control of PDEs (GR)
  • Reduced Basis Methods in Computational Mechanics (GR)
  • Shape Optimization (optional)

 

Material will be provided during classes, a calendar with topics and organization will be given during the first lecture.

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