Gabriella Puppo

,

CoRR, 2024

A monolithic first-order BSSNOK formulation of the Einstein-Euler equations and its solution with path-conservative finite difference CWENO schemes.

[BibT_eX]

[DOI]

Michael Dumbser

,

Olindo Zanotti

,

CoRR, 2024

Non-local traffic flow models with time delay: well-posedness and numerical approximation.

[BibT_eX]

[DOI]

Ilaria Ciaramaglia

,

Paola Goatin

,

CoRR, 2024

Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials.

[BibT_eX]

[DOI]

,

,

SIAM J. Sci. Comput., October, 2023

Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow.

[BibT_eX]

[DOI]

Matteo Piu

,

Michael Herty

,

Mária Lukácová-Medvid'ová

SIAM J. Appl. Math., October, 2023

An all Mach number finite volume method for isentropic two-phase flow.

[BibT_eX]

[DOI]

,

,

J. Num. Math., September, 2023

Quinpi: Integrating stiff hyperbolic systems with implicit high order finite volume schemes.

[BibT_eX]

[DOI]

,

,

CoRR, 2023

Stability analysis of microscopic models for traffic flow with lane changing.

[BibT_eX]

[DOI]

Matteo Piu

,

Networks Heterog. Media, 2022

Angle dependence in coupling conditions for shallow water equations at channel junctions.

[BibT_eX]

[DOI]

Maya Briani

,

,

Magali Ribot

Comput. Math. Appl., 2022

Angle dependence in coupling conditions for shallow water equations at canal junctions.

[BibT_eX]

[DOI]

Maya Briani

,

,

Magali Ribot

CoRR, 2021

One- and multi-dimensional CWENOZ reconstructions for implementing boundary conditions without ghost cells.

[BibT_eX]

[DOI]

,

Elena Travaglia

,

CoRR, 2021

Quinpi: integrating conservation laws with CWENO implicit methods.

[BibT_eX]

[DOI]

,

,

CoRR, 2021

An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity.

[BibT_eX]

[DOI]

,

,

Christian Klingenberg

J. Comput. Phys., 2020

From kinetic to macroscopic models and back.

[BibT_eX]

[DOI]

Michael Herty

,

,

CoRR, 2020

Semi-Conservative Finite Volume Schemes for Conservation Laws.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2019

Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity.

[BibT_eX]

[DOI]

Christian Klingenberg

,

,

SIAM J. Sci. Comput., 2019

An Asymptotic-Preserving All-Speed Scheme for Fluid Dynamics and Nonlinear Elasticity.

[BibT_eX]

[DOI]

Emanuela Abbate

,

,

SIAM J. Sci. Comput., 2019

BGK Polyatomic Model for Rarefied Flows.

[BibT_eX]

[DOI]

Florian Bernard

,

,

J. Sci. Comput., 2019

An all speed second order IMEX relaxation scheme for the Euler equations.

[BibT_eX]

[DOI]

,

Markus Zenk

,

,

Christian Klingenberg

CoRR, 2019

CWENO: Uniformly accurate reconstructions for balance laws.

[BibT_eX]

[DOI]

,

,

,

Math. Comput., 2018

Multivalued Fundamental Diagrams of Traffic Flow in the Kinetic Fokker-Planck Limit.

[BibT_eX]

[DOI]

,

,

,

Multiscale Model. Simul., 2017

An all-speed relaxation scheme for gases and compressible materials.

[BibT_eX]

[DOI]

Emanuela Abbate

,

,

J. Comput. Phys., 2017

Well-Balanced High Order 1D Schemes on Non-uniform Grids and Entropy Residuals.

[BibT_eX]

[DOI]

,

J. Sci. Comput., 2016

Accurate Asymptotic Preserving Boundary Conditions for Kinetic Equations on Cartesian Grids.

[BibT_eX]

[DOI]

Florian Bernard

,

,

J. Sci. Comput., 2015

Central Schemes for Nonconservative Hyperbolic Systems.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2012

Microscopically implicit-macroscopically explicit schemes for the BGK equation.

[BibT_eX]

[DOI]

Sandra Pieraccini

,

J. Comput. Phys., 2012

A hybrid method for hydrodynamic-kinetic flow - Part II - Coupling of hydrodynamic and kinetic models.

[BibT_eX]

[DOI]

Alessandro Alaia

,

J. Comput. Phys., 2012

A hybrid method for hydrodynamic-kinetic flow Part I: A particle-grid method for reducing stochastic noise in kinetic regimes.

[BibT_eX]

[DOI]

Alessandro Alaia

,

J. Comput. Phys., 2011

High-Order Relaxation Schemes for Nonlinear Degenerate Diffusion Problems.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., 2007

Implicit-Explicit Schemes for BGK Kinetic Equations.

[BibT_eX]

[DOI]

Sandra Pieraccini

,

J. Sci. Comput., 2007

Staggered Finite Difference Schemes for Conservation Laws.

[BibT_eX]

[DOI]

,

J. Sci. Comput., 2006

Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows.

[BibT_eX]

[DOI]

,

,

,

J. Comput. Phys., 2006

Central Runge-Kutta Schemes for Conservation Laws.

[BibT_eX]

[DOI]

Lorenzo Pareschi

,

,

SIAM J. Sci. Comput., 2005

Numerical Entropy Production for Central Schemes.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2004

A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws.

[BibT_eX]

[DOI]

Doron Levy

,

,

SIAM J. Sci. Comput., 2002

Numerical Entropy Production on Shocks and Smooth Transitions.

[BibT_eX]

[DOI]

J. Sci. Comput., 2002

Compact Central WENO Schemes for Multidimensional Conservation Laws.

[BibT_eX]

[DOI]

Doron Levy

,

,

SIAM J. Sci. Comput., 2000

A Vortex-Grid Method for Prandtl's Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1999

High-Order Central Schemes for Hyperbolic Systems of Conservation Laws.

[BibT_eX]

[DOI]

Franca Bianco

,

,

SIAM J. Sci. Comput., 1999

Bubble Stabilization of Spectral Methods: The Multidimensional Case.

[BibT_eX]

[DOI]