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For any questions regarding the website, please contact webmasters at webmaster.math (at) sissa.it.

Research fields

  • geometry, in particular algebraic, differential, and noncommutative geometry, also with applications to quantum field and string theory
  • mathematical analysis, in particular calculus of variations, control theory, partial and ordinary differential equations
  • mathematical modelling, in particular mechanics of solids and fluids, modelling of complex and biological systems, multiscale analysis
  • mathematical physics, in particular integrable systems and their applications, nonlinear partial differential equations, mathematical aspects of quantum physics
  • numerical analysis and scientific computing, applied to partial differential equations and to control problems

PhD and MSC courses:

Laboratories:

  • SISSA MathLab: a laboratory for mathematical modeling and scientific computing
  • SAMBA a laboratory in collaboration with the Cognitive Neuroscience Group

Area Coordinator

Faculty

Former Faculty Members

Former Professors

Visiting Professors

An Online Stabilization Method for Parametrized Viscous Flows

Ali S, Ballarin F, Rozza G. An Online Stabilization Method for Parametrized Viscous Flows. In: Reduction, Approximation, Machine Learning, Surrogates, Emulators and Simulators. Reduction, Approximation, Machine Learning, Surrogates, Emulators and Simulators. Springer, Cham; 2024. Available from: https://link.springer.com/chapter/10.1007/978-3-031-55060-7_1

Thermomechanical Modelling for Industrial Applications

Shah N, Girfoglio M, Rozza G. Thermomechanical Modelling for Industrial Applications. In: Progress in Industrial Mathematics at ECMI 2021. Progress in Industrial Mathematics at ECMI 2021. Online conference hosted by the Bergische Universität Wuppertal: Springer, Cham; 2022. Available from: https://link.springer.com/chapter/10.1007/978-3-031-11818-0_28

Numerical Solution of Partial Differential Equations with deal.II

The course "Numerical Solution of PDEs with deal.II" offers a focused exploration of solving Partial Differential Equations (PDEs) using the Finite Element Method (FEM), employing the deal.II software library. Key components of the course include an introduction to PDEs, basics of numerical methods and FEM analysis, practical training using deal.II, and hands-on projects. The course will also cover High-Performance Computing (HPC) techniques for parallelizing, optimizing, and load balancing FEM simulations for real-world applications.

Advanced Topics in Scientific Computing

This course provides a high level introduction to the numerical analysis of PDES and related high-performance computing techniques, focusing on problems in mechanics such as fluid dynamics. Students will acquire advanced understanding on Computational modelling techniques, both theoretical and practical. The course will utilise a combination of frontal lectures and live programming demonstrations using the C++ deal.ii (dealii.org) Finite Element Library.

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