F. Romor, D. Torlo and G. Rozza. "Friedrichs' systems discretized with the Discontinuous Galerkin method: domain decomposable model order reduction and Graph Neural Networks approximating vanishing viscosity solutions." (2023) arXiv preprint, arXiv:2308.03378. PDF arXiv BibTeX
Publications and Talks
Articles and Preprints
- Friedrichs’ systems discretized with the Discontinuous Galerkin method: domain decomposable model order reduction and Graph Neural Networks approximating vanishing viscosity solutions
F. Romor, D. Torlo and G. Rozza. "Friedrichs' systems discretized with the Discontinuous Galerkin method: domain decomposable model order reduction and Graph Neural Networks approximating vanishing viscosity solutions." (2023) arXiv preprint, arXiv:2308.03378. PDF arXiv BibTeX - An optimisation-based domain-decomposition reduced order model for parameter-dependent non-stationary fluid dynamics problems
I. Prusak, D. Torlo, M. Nonino and G. Rozza. "An optimisation-based domain-decomposition reduced order model for parameter-dependent non-stationary fluid dynamics problems." (2023) arXiv preprint, arXiv:2308.01733. PDF arXiv BibTeX - On improving the efficiency of ADER methods
M. Han Veiga, L. Micalizzi and D. Torlo. "On improving the efficiency of ADER methods." Applied Mathematics and Computation, 466, page 128426, 2024. PDF DOI BibTeX - Efficient iterative arbitrary high order methods: an adaptive bridge between low and high order
L. Micalizzi, D. Torlo and W. Boscheri. "Efficient iterative arbitrary high order methods: an adaptive bridge between low and high order." Commun. Appl. Math. Comput. (2023). PDF DOI BibTeX - An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations
I. Prusak, M. Nonino, D. Torlo, F. Ballarin and G. Rozza. "An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations." Computers & Mathematics with Applications, 151 (2023) 172-189. PDF DOI BibTeX - A necessary condition for non oscillatory and positivity preserving time-integration schemes
T. Izgin, P. Öffner and D. Torlo. "A necessary condition for non oscillatory and positivity preserving time-integration schemes." (2022) arXiv preprint, arXiv:2211.08905. PDF arXiv BibTeX Git - A new efficient explicit Deferred Correction framework: analysis and applications to hyperbolic PDEs and adaptivity
L. Micalizzi and D. Torlo. "A new efficient explicit Deferred Correction framework: analysis and applications to hyperbolic PDEs and adaptivity. " Commun. Appl. Math. Comput. (2023). https://doi.org/10.1007/s42967-023-00294-6. PDF DOI BibTeX - Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping
Michel, S., Torlo, D., Ricchiuto, M. and Abgrall, R.. Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping. J Sci Comput 94, 49 (2023). PDF DOI BibTeX Git - High order entropy preserving ADER-DG scheme
E. Gaburro, P. Öffner, M. Ricchiuto and D. Torlo. "High order entropy preserving ADER-DG scheme." Applied Mathematics and Computation, 440:127644, 2023. doi:10.1016/j.amc.2022.127644. PDF DOI BibTeX - Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation
M. Ciallella, D. Torlo and M. Ricchiuto. (2022). "Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation. " Journal of Scientific Computing 96, 53 (2023). https://doi.org/10.1007/s10915-023-02280-9. PDF DOI BibTeX - Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme
R. Abgrall and D. Torlo. (2022). "Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme. " Communications in Mathematical Sciences, 20, 2, 297-326. https://dx.doi.org/10.4310/CMS.2022.v20.n2.a1. PDF DOI BibTeX - Model order reduction strategies for weakly dispersive waves
D. Torlo and M. Ricchiuto. "Model order reduction strategies for weakly dispersive waves. " Mathematics and Computers in Simulation, (205), pages 997-1028, 2023. PDF DOI BibTeX - An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations
M. Ciallella, L. Micalizzi, P. Öffner and D. Torlo. (2022). "An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations. " Computers & Fluids, 247, page 105630. PDF DOI BibTeX Git - Analytical traveling vortex solutions of hyperbolic equations for validating very high order schemes
M. Ricchiuto and D. Torlo. (2021). "Analytical traveling vortex solutions of hyperbolic equations for validating very high order schemes. " arXiv preprint, https://arxiv.org/abs/2109.10183. PDF arXiv BibTeX - Issues with Positivity-Preserving Patankar-type Schemes
D. Torlo, P. Öffner and H. Ranocha. (2022). "Issues with Positivity-Preserving Patankar-type Schemes. " Applied Numerical Mathematics, 182, 117-147. PDF DOI BibTeX Git - Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes
R. Abgrall, E. Le Mélédo, P. Öffner and D. Torlo. (2022). "Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes. " The SMAI Journal of computational mathematics, Volume 8 (2022), pp. 125-160. doi:10.5802/smai-jcm.82 PDF DOI BibTeX Git - Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping
Michel, S., Torlo, D., Ricchiuto, M. and Abgrall, R.. Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping. J Sci Comput 89, 31 (2021). https://doi.org/10.1007/s10915-021-01632-7 PDF DOI BibTeX Git - DeC and ADER: Similarities, Differences and a Unified Framework
M. H. Veiga, P. Öffner, and D. Torlo. (2021). "DeC and ADER: Similarities, Differences and a Unified Framework." Journal of Scientific Computing, 87, 2 (2021). https://doi.org/10.1007/s10915-020-01397-5. PDF DOI BibTeX Git - Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes
P. Öffner and D. Torlo. (2020). "Arbitrary high-order, conservative and positivity preserving Patankar--type deferred correction schemes." Applied Numerical Mathematics, 153:15 – 34. PDF DOI BibTeX Git - High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models
R. Abgrall, and D. Torlo. (2020). "High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models." SIAM Journal on Scientific Computing, 42(3): B816--B845. PDF DOI BibTeX - Model Reduction for Advection Dominated Hyperbolic Problems in an ALE Framework: Offline and Online Phases
D. Torlo. (2020). "Model Reduction for Advection Dominated Hyperbolic Problems in an ALE Framework: Offline and Online Phases." arXiv preprint, arXiv:2003.13735. PDF arXiv BibTeX - Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification
R. Crisovan, D. Torlo, R. Abgrall, and S. Tokareva. (2019). "Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification." Journal of Computational and Applied Mathematics, 348:466 – 489. PDF DOI BibTeX - Weighted reduced order methods for parametrized partial differential equations with random inputs
Venturi, L., Torlo, D., Ballarin, F., Rozza, G. (2019). " Weighted Reduced Order Methods for Parametrized Partial Differential Equations with Random Inputs. " In: Canavero, F. (eds) Uncertainty Modeling for Engineering Applications. PoliTO Springer Series. Springer, Cham. https://doi.org/10.1007/978-3-030-04870-9_2 PDF DOI BibTeX - Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs
D. Torlo, F. Ballarin, and G. Rozza. (2018). "Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs." SIAM/ASA Journal on Uncertainty Quantification, 6(4): 1475--1502. PDF DOI BibTeX
Talks
- Arbitrary Lagrangian-Eulerian Model Reduction for Advection Dominated Problems and Some Graph Neural Network Ideas
Talk at ENUMATH 2023, Lisbon, Portugal PDF
- Saving computational costs with efficient iterative ADER methods: p-adaptivity, accuracy results and structure preserving limiters
Talk at Numhyp 2023, Bordeaux, France PDF
- Global flux WENO finite volume and other structure preserving schemes for water equations
Talk at SHARK-FV 2023, Minho, Portugal PDF
- Model Order Reduction for Advection Dominated (Hyperbolic) Problems in an ALE framework
Talk at PDE Afternoon, Vienna, Austria PDF
- “Reduced Order Models on a Variational Multi-Scale Model of Navier–Stokes
Talk at CFC, Cannes, France PDF
- A new efficient explicit Deferred Correction framework: analysis and applications to hyperbolic PDEs and adaptivity
Talk at Essentially hyperbolic problems, Ascona, Switzerland PDF
- Model order reduction for Friedrichs’ systems: a bridge between elliptic and hyperbolic problems
Talk at MORE 2022, Berlin, Germany PDF
- Arbitrary High–Order Positivity–Preserving Finite–Volume Shallow–Water scheme without Restrictions on the CFL
Talk at HONOM 2022, Braga, Portugal PDF
- Continuous Galerkin high order well-balanced discrete kinetic model for shallow water equations
Talk at Numhyp 2021, Trento, Italy PDF
- On modified Patankar schemes and oscillations: towards new stability definitions
Talk at Icosahom 2020, Vienna, Austria PDF
- ADER and DeC: Arbitrarily High Order Explicit Methods for hyperbolic PDEs and ODEs
Talk at Oberwolfach, workshop on hyperbolic balance laws, Oberwolfach, Germany PDF
- High Order Well-Balanced Discrete Kinetic Model for Shallow Water Equations
Talk at WCCM - Eccomas 2020, Paris, France PDF
- Arbitrary high-order, conservative and positive preserving Patankar-type deferred correction schemes
Talk at Icosahom 2020 MS Online, Online PDF
- Hyperbolic problems: high order methods and model order reduction
Talk at University of Zurich, Zurich, Switzerland PDF
- Model Reduction for Advection Dominated Hyperbolic Problems in an ALE Framework: Offline and Online Phases
Talk at Analysis Junior Seminars 2019-2020, Trieste, Italy PDF
- ADER and DeC: Arbitrarily High Order Explicit Time Integration Methods
Talk at SAMinar (ETH+UZH), Zurich, Switzerland PDF