Activities

Ongoing Activities:

• High performance computing: 

Development of C++ softwares for the parallel application of space-time Kronecker preconditioners for parabolic partial differential equations.

• Space-time isogeometric analysis: 

Discretization of PDEs via isogemetric space-time schemes. Well posedness , a-priori error bounds and preconditioning techniques.

Publications:

• Energy conservative isogeometric techniques for the wave equation.

Andrea Bressan, Annalisa Buffa, AK, Rafael Vázquez. arXiv:2311.18603 [math.NA]. 

• Space-Time least squares approximation for Schrödinger equation and efficient solver.

Andrea Bressan, AK, Giancarlo Sangalli, Mattia Tani. arXiv:2311.18461 [math.NA].

• Factorizations and fast diagonalization for the heat equation.

Andrea Bressan, AK, Gabriele Loli, Monica Montardini, Giancarlo Sangalli, Mattia Tani. arXiv:2403.07875 [math.NA]

Organized Activities:

• YAMC 2024. (Home)

• CompMat Spring Workshop 2024. (Home)

• Caffè Beltrami. (Home)

Workshops, conferences and schools:

• Sep  2025  - IGA2025 Isogeometric analysis congress 

• Jun  2024  - ECCOMAS 2024 European Congress on Computational Methods in Applied Sciences and Engineering.

• Feb  2024  - GNCS Group Biennial Convention.

• Sep  2023  -  YAMC23 Young Applied Mathematician Conference.

• Aug 2023  -  SIMAI congress of Società Italiana di Matematica Applicata.

• Jul   2023  -   PoWER23 Propagtion of Waves, European Researchers.

• Jun 2023   -  Summer school on advanced parallel-in-time methods.

• Mar 2022 -  CompMat Spring Workshop for "Computational Mathematics and Decision Sciences" PhD programm.

• Nov 2021 -  Summer school in advanced domain decomposition methods.

• Sep 2021  -  YAMC21 Young Applied Mathematician Conference.