Stabilized Weighted Reduced Basis Methods for Parametrized Advection Dominated Problems with Random Inputs. - Davide Torlo; Francesco Ballarin; Gianluigi Rozza (SIAM/ASA J. Uncertain. Quantification, 2018)

Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification. - Roxana Crisovan; Davide Torlo; Rémi Abgrall; Svetlana V. Tokareva (J. Comput. Appl. Math., 2019)

DeC and ADER: Similarities, Differences and an Unified Framework. - Maria Han Veiga; Philipp Öffner; Davide Torlo (CoRR, 2020)

Model Reduction for Advection Dominated Hyperbolic Problems in an ALE Framework: Offline and Online Phases. - Davide Torlo (CoRR, 2020)

High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models. - Rémi Abgrall; Davide Torlo (SIAM J. Sci. Comput., 2020)

Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes. - Rémi Abgrall; Élise Le Mélédo; Philipp Öffner; Davide Torlo (CoRR, 2021)

A New Stability Approach for Positivity-Preserving Patankar-type Schemes. - Davide Torlo; Philipp Öffner; Hendrik Ranocha (CoRR, 2021)

Analytical travelling vortex solutions of hyperbolic equations for validating very high order schemes. - Mario Ricchiuto; Davide Torlo (CoRR, 2021)

An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations. - Mirco Ciallella; Lorenzo Micalizzi; Philipp Öffner; Davide Torlo (CoRR, 2021)

Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping. - Sixtine Michel; Davide Torlo; Mario Ricchiuto; Rémi Abgrall (J. Sci. Comput., 2021)

DeC and ADER: Similarities, Differences and a Unified Framework. - Maria Han Veiga; Philipp Öffner; Davide Torlo (J. Sci. Comput., 2021)

High order entropy preserving ADER scheme. - Elena Gaburro; Philipp Öffner; Mario Ricchiuto; Davide Torlo (CoRR, 2022)

A new efficient explicit Deferred Correction framework: analysis and applications to hyperbolic PDEs and adaptivity. - Lorenzo Micalizzi; Davide Torlo (CoRR, 2022)

A necessary condition for non oscillatory and positivity preserving time-integration schemes. - Thomas Izgin; Philipp Öffner; Davide Torlo (CoRR, 2022)

Efficient iterative arbitrary high order methods: an adaptive bridge between low and high order. - Lorenzo Micalizzi; Davide Torlo; Walter Boscheri (CoRR, 2022)

High order entropy preserving ADER-DG schemes. - Elena Gaburro; Philipp Öffner; Mario Ricchiuto; Davide Torlo (Appl. Math. Comput., 2023)

Friedrichs' systems discretized with the Discontinuous Galerkin method: domain decomposable model order reduction and Graph Neural Networks approximating vanishing viscosity solutions. - Francesco Romor; Davide Torlo; Gianluigi Rozza (CoRR, 2023)

Model order reduction strategies for weakly dispersive waves. - Davide Torlo; Mario Ricchiuto (Math. Comput. Simul., 2023)

Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping. - Sixtine Michel; Davide Torlo; Mario Ricchiuto; Rémi Abgrall (J. Sci. Comput., 2023)

Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation. - Mirco Ciallella; Davide Torlo; Mario Ricchiuto (J. Sci. Comput., 2023)

An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations. - Ivan Prusak; Monica Nonino; Davide Torlo; Francesco Ballarin; Gianluigi Rozza (Comput. Math. Appl., 2023)

An optimisation-based domain-decomposition reduced order model for parameter-dependent non-stationary fluid dynamics problems. - Ivan Prusak; Davide Torlo; Monica Nonino; Gianluigi Rozza (Comput. Math. Appl., 2024)

Optimisation-Based Coupling of Finite Element Model and Reduced Order Model for Computational Fluid Dynamics. - Ivan Prusak; Davide Torlo; Monica Nonino; Gianluigi Rozza (CoRR, 2024)

A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations. - Mirco Ciallella; Lorenzo Micalizzi; Victor Michel-Dansac; Philipp Öffner; Davide Torlo (CoRR, 2024)

Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations. - Philipp Öffner; Louis Petri; Davide Torlo (CoRR, 2024)

A time-adaptive algorithm for pressure dominated flows: a heuristic estimator. - Ivan Prusak; Davide Torlo; Monica Nonino; Gianluigi Rozza (CoRR, 2024)

Structure preserving nodal continuous Finite Elements via Global Flux quadrature. - Wasilij Barsukow; Mario Ricchiuto; Davide Torlo (CoRR, 2024)

On improving the efficiency of ADER methods. - Maria Han Veiga; Lorenzo Micalizzi; Davide Torlo (Appl. Math. Comput., 2024)

Calibration-Based ALE Model Order Reduction for Hyperbolic Problems with Self-Similar Travelling Discontinuities. - Monica Nonino; Davide Torlo (J. Sci. Comput., 2024)

Friedrichs' systems discretized with the DGM: domain decomposable model order reduction and Graph Neural Networks approximating vanishing viscosity solutions. - Francesco Romor; Davide Torlo; Gianluigi Rozza (J. Comput. Phys., 2025)

The Lax-Wendroff theorem for Patankar-type methods applied to hyperbolic conservation laws. - Janina Bender; Thomas Izgin; Philipp Öffner; Davide Torlo (CoRR, 2025)

Genuinely multi-dimensional stationarity preserving global flux Finite Volume formulation for nonlinear hyperbolic PDEs. - Wasilij Barsukow; Mirco Ciallella; Mario Ricchiuto; Davide Torlo (CoRR, 2025)