Výsledky vyhledávání - "Davide Torlo"

Issues with positivity-preserving Patankar-type schemes

Autor: Davide Torlo, Philipp Öffner, Hendrik Ranocha

Publikováno v: Applied Numerical Mathematics. 182:117-147

Patankar-type schemes are linearly implicit time integration methods designed to be unconditionally positivity-preserving. However, there are only little results on their stability or robustness. We suggest two approaches to analyze the performance a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a984c5e2c4a1b3f38d9499b3948f9406
https://doi.org/10.1016/j.apnum.2022.07.014

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Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes

Autor: Philipp Öffner, Davide Torlo

Publikováno v: Applied Numerical Mathematics. 153:15-34

Production-destruction systems (PDS) of ordinary differential equations (ODEs) are used to describe physical and biological reactions in nature. The considered quantities are subject to natural laws. Therefore, they preserve positivity and conservati

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https://doi.org/10.1016/j.apnum.2020.01.025

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Model order reduction strategies for weakly dispersive waves

Autor: Davide Torlo, Mario Ricchiuto

Publikováno v: Mathematics and Computers in Simulation
Mathematics and Computers in Simulation, 2023, 205, pp.997-1028. ⟨10.1016/j.matcom.2022.10.034⟩

International audience; We focus on the numerical modelling of water waves by means of depth averaged models. We consider in particular PDE systems which consist in a nonlinear hyperbolic model plus a linear dispersive perturbation involving an ellip

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https://hal.inria.fr/hal-03508460/file/2112.10608.pdf

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Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme

Autor: Davide Torlo, Remi Abgrall

In this short paper, we intend to describe one way to construct arbitrarily high order kinetic schemes on regular meshes. The method can be arbitrarily high order in space and time, run at least CFL one, is asymptotic preserving and computationally e

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https://doi.org/10.5167/uzh-217613

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High order entropy preserving ADER-DG schemes

Autor: Elena Gaburro, Philipp Öffner, Mario Ricchiuto, Davide Torlo

Publikováno v: Applied Mathematics and Computation
Applied Mathematics and Computation, 2023, 440, pp.127644. ⟨10.1016/j.amc.2022.127644⟩

International audience; In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin (ADER-DG) method. To obtain this desired result, we equip the space part of the method with entropy correction terms that balance the en

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https://doi.org/10.1016/j.amc.2022.127644

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Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping

Autor: Rémi Abgrall, Sixtine Michel, Davide Torlo, Mario Ricchiuto

Publikováno v: Journal of Scientific Computing
Journal of Scientific Computing, Springer Verlag, 2021, 89 (2), ⟨10.1007/s10915-021-01632-7⟩
Journal of Scientific Computing, 2021, 89 (2), ⟨10.1007/s10915-021-01632-7⟩

International audience; We study continuous finite element dicretizations for one dimensional hyperbolic partial differential equations. The main contribution of the paper is to provide a fully discrete spectral analysis, which is used to suggest opt

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DeC and ADER: Similarities, Differences and a Unified Framework

Autor: Maria Han Veiga, Philipp Öffner, Davide Torlo

In this paper, we demonstrate that the explicit ADER approach as it is used inter alia in [1] can be seen as a special interpretation of the deferred correction (DeC) method as introduced in [2]. By using this fact, we are able to embed ADER in a the

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Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs

Autor: Francesco Ballarin, Davide Torlo, Gianluigi Rozza

Publikováno v: SIAM/ASA Journal on Uncertainty Quantification

In this work, we propose viable and efficient strategies for stabilized parametrized advection dominated problems, with random inputs. In particular, we investigate the combination of wRB (weighted reduced basis) method for stochastic parametrized pr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfe22cc4aea735589d4ac41642fd2a8b
http://hdl.handle.net/10807/174168

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Model order reduction for parametrized nonlinear hyperbolic problems as an application to Uncertainty Quantification

Autor: Svetlana Tokareva, Davide Torlo, R Crisovan, Rémi Abgrall

In this work, we present a model order reduction (MOR) technique for hyperbolic conservation laws with applications in uncertainty quantification (UQ). The problem consists of a parametrized time dependent hyperbolic system of equations, where the pa

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