Numerical Analysis

Research Group:

Mathematical Analysis, Modelling, and Applications, mathLab

Theory and practice of Finite Element Methods

This is a shared course between the SISSA PhD track
on Mathematical Analysis, Modeling, and Applications
(math.sissa.it) and the Master in High Performance Computing
(www.mhpc.it). It is a course that follows two parallel lines:
theory of finite element methods (graduate students level, ~20 hours) and
practice of finite element methods (mhpc students levels, ~20 hours).

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Adaptive Cubic Regularisation Methods for Nonconvex Optimisation with Machine Learning Applications

Read more about Adaptive Cubic Regularisation Methods for Nonconvex Optimisation with Machine Learning Applications

Model Reduction for Advection Dominated Hyperbolic Problems in an ALE Framework: Offline and Online Phases

Read more about Model Reduction for Advection Dominated Hyperbolic Problems in an ALE Framework: Offline and Online Phases

A survey of reduced order methods for turbulence treatment of the Navier–Stokes equations: projection based methods and data-driven techniques

Read more about A survey of reduced order methods for turbulence treatment of the Navier–Stokes equations: projection based methods and data-driven techniques

Segregated methods for Reduced Order Models applied to the Navier-Stokes problem in a finite volume environment

Read more about Segregated methods for Reduced Order Models applied to the Navier-Stokes problem in a finite volume environment

A Massively Parallel, Geometric Multigrid Method for Stokes Applications

Read more about A Massively Parallel, Geometric Multigrid Method for Stokes Applications

Numerical modeling of earthquake ground motion

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Advanced Programming

The course aims to provide advanced knowledge of both theoretical and practical programming in C++11 and Python3, with particular regard to the principles of object-oriented programming and best practices of software development.

Syllabus:

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Multilevel solver for discontinuous viscosity Stokes problem

Read more about Multilevel solver for discontinuous viscosity Stokes problem

Introduction to HDG methods for time dependent drift diffusion problems

Read more about Introduction to HDG methods for time dependent drift diffusion problems

Recent publications

G.P. Leonardi; G. Saracco,

Rigidity and trace properties...
R. Marchello; A. Colombi; L. Preziosi; C. Giverso,

A non local model for cell mig...
I. Prusak; D. Torlo; M. Nonino; G. Rozza,

Optimisation–Based Coupling of...
M. Berti; A. Maspero; P. Ventura,

Benjamin-Feir Instability of S...

Mathematics