Activities
Ongoing 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.
Pubblications:
Pubblications:
- 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].
- Parallelization in time by diagonalization.
Andrea Bressan, AK, Gabriele Loli, Monica Montardini, Giancarlo Sangalli, Mattia Tani. arXiv:2403.07875 [math.NA]
Workshops, conferences and schools:
Workshops, conferences and schools:
- 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.