Publications and Talks

Articles and Preprints

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." (2022) arXiv preprint, arXiv:2212.07783. PDF arXiv 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." (2022) arXiv preprint, arXiv:2211.14528. PDF arXiv 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. (2022). "A new efficient explicit Deferred Correction framework: analysis and applications to hyperbolic PDEs and adaptivity. " arXiv preprint, 2022. https://arxiv.org/abs/2210.02976. PDF arXiv 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. " arXiv preprint, 2022. https://arxiv.org/abs/2205.13315. PDF arXiv 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