Publications and Talks

Articles

An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations

M. Ciallella, L. Micalizzi, P. Öffner and D. Torlo. (2021). "An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations. " arXiv preprint, https://arxiv.org/abs/2110.13509. PDF

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

A New Stability Approach for Positivity-preserving Patankar-type Schemes

D. Torlo, P. Öffner and H. Ranocha. (2021). "A New Stability Approach for Positivity-preserving Patankar-type Schemes. " arXiv preprint, https://arxiv.org/abs/2108.07347. PDF

Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes

R. Abgrall, E. Le Mélédo, P. Öffner and D. Torlo. (2021). "Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes. " arXiv preprint, https://arxiv.org/abs/2106.05005. PDF

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

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

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

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

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

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

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