Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes. - Mario Ricchiuto; Rémi Abgrall; Herman Deconinck (J. Comput. Phys., 2007)

Stabilized residual distribution for shallow water simulations. - Mario Ricchiuto; Andreas Bollermann (J. Comput. Phys., 2009)

Explicit Runge-Kutta residual distribution schemes for time dependent problems: Second order case. - Mario Ricchiuto; Rémi Abgrall (J. Comput. Phys., 2010)

Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes. - Rémi Abgrall; Adam Larat; Mario Ricchiuto (J. Comput. Phys., 2011)

Third order residual distribution schemes for the Navier-Stokes equations. - Nadège Villedieu; Tiago Quintino; Mario Ricchiuto; Herman Deconinck (J. Comput. Phys., 2011)

On the C-property and Generalized C-property of Residual Distribution for the Shallow Water Equations. - Mario Ricchiuto (J. Sci. Comput., 2011)

Unconditionally stable space-time discontinuous residual distribution for shallow-water flows. - D. Sármány; Matthew E. Hubbard; Mario Ricchiuto (J. Comput. Phys., 2013)

Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries. - Mario Ricchiuto; A. G. Filippini (J. Comput. Phys., 2014)

High-Order Preserving Residual Distribution Schemes for Advection-Diffusion Scalar Problems on Arbitrary Grids. - Rémi Abgrall; Dante De Santis; Mario Ricchiuto (SIAM J. Sci. Comput., 2014)

An explicit residual based approach for shallow water flows. - Mario Ricchiuto (J. Comput. Phys., 2015)

An ALE Formulation for Explicit Runge-Kutta Residual Distribution. - Luca Arpaia; Mario Ricchiuto; Rémi Abgrall (J. Sci. Comput., 2015)

Runge-Kutta Residual Distribution Schemes. - Andrzej Warzynski; Matthew E. Hubbard; Mario Ricchiuto (J. Sci. Comput., 2015)

A flexible genuinely nonlinear approach for nonlinear wave propagation, breaking and run-up. - A. G. Filippini; Maria Kazolea; Mario Ricchiuto (J. Comput. Phys., 2016)

A first-order hyperbolic system approach for dispersion. - Alireza Mazaheri; Mario Ricchiuto; Hiroaki Nishikawa (J. Comput. Phys., 2016)

A second order residual based predictor-corrector approach for time dependent pollutant transport. - Sara Pavan; Jean-Michel Hervouet; Mario Ricchiuto; Riadh Ata (J. Comput. Phys., 2016)

Discrete Asymptotic Equations for Long Wave Propagation. - Stevan Bellec; Mathieu Colin; Mario Ricchiuto (SIAM J. Numer. Anal., 2016)

The shifted boundary method for hyperbolic systems: Embedded domain computations of linear waves and shallow water flows. - Ting Song; Alex Main; Guglielmo Scovazzi; Mario Ricchiuto (J. Comput. Phys., 2018)

Adaptive moving mesh upwind scheme for the two-species chemotaxis model. - Alina Chertock; Alexander Kurganov; Mario Ricchiuto; Tong Wu 005 (Comput. Math. Appl., 2019)

High-order gradients with the shifted boundary method: An embedded enriched mixed formulation for elliptic PDEs. - Léo Nouveau; Mario Ricchiuto; Guglielmo Scovazzi (J. Comput. Phys., 2019)

Space-time residual distribution on moving meshes. - Matthew E. Hubbard; Mario Ricchiuto; D. Sármány (Comput. Math. Appl., 2020)

Well balanced residual distribution for the ALE spherical shallow water equations on moving adaptive meshes. - Luca Arpaia; Mario Ricchiuto (J. Comput. Phys., 2020)

Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods. - Mirco Ciallella; Mario Ricchiuto; Renato Paciorri; Aldo Bonfiglioli (J. Comput. Phys., 2020)

Extrapolated DIscontinuity Tracking for complex 2D shock interactions. - Mirco Ciallella; Mario Ricchiuto; Renato Paciorri; Aldo Bonfiglioli (CoRR, 2021)

h- and r- adaptation on simplicial meshes using MMG tools. - Luca Arpaia; Héloïse Beaugendre; Luca Cirrottola; Algiane Froehly; Marco Lorini; Léo Nouveau; Mario Ricchiuto (CoRR, 2021)

Hyperbolic balance laws: residual distribution, local and global fluxes. - Rémi Abgrall; Mario Ricchiuto (CoRR, 2021)

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

Adaptive deformation of 3D unstructured meshes with curved body fitted boundaries with application to unsteady compressible flows. - Luca Cirrottola; Mario Ricchiuto; Algiane Froehly; Barbara Re 002; Alberto Guardone; Giuseppe Quaranta (J. Comput. Phys., 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)

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

Fully well balanced entropy controlled DGSEM for shallow water flows: global flux quadrature and cell entropy correction. - Yogiraj Mantri; Philipp Öffner; Mario Ricchiuto (CoRR, 2022)

UnDiFi-2D: An unstructured discontinuity fitting code for 2D grids. - Lorenzo Campoli; Alessia Assonitis; Mirco Ciallella; Renato Paciorri; Aldo Bonfiglioli; Mario Ricchiuto (Comput. Phys. Commun., 2022)

Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes. - Mirco Ciallella; Elena Gaburro; Marco Lorini; Mario Ricchiuto (Appl. Math. Comput., 2023)

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

An enriched shifted boundary method to account for moving fronts. - Tiffanie Carlier; Léo Nouveau; Héloïse Beaugendre; Mathieu Colin; Mario Ricchiuto (J. Comput. Phys., 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)

Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time Reconstruction for Off-site data. - Mirco Ciallella; Stéphane Clain; Elena Gaburro; Mario Ricchiuto (Comput. Math. Appl., 2024)

Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite volume corrections. - Elena Gaburro; Walter Boscheri; Simone Chiocchetti; Mario Ricchiuto (CoRR, 2024)

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

Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form. - Hendrik Ranocha; Mario Ricchiuto (CoRR, 2024)

Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: Global flux quadrature and cell entropy correction. - Yogiraj Mantri; Philipp Öffner; Mario Ricchiuto (J. Comput. Phys., 2024)

Novel Well-Balanced Continuous Interior Penalty Stabilizations. - Lorenzo Micalizzi; Mario Ricchiuto; Rémi Abgrall (J. Sci. Comput., 2024)

Approximate well-balanced WENO finite difference schemes using a global-flux quadrature method with multi-step ODE integrator weights. - Maria Kazolea; Carlos Parés Madroñal; Mario Ricchiuto (CoRR, 2025)

A Spectral Element Solution of the Poisson Equation with Shifted Boundary Polynomial Corrections: Influence of the Surrogate to True Boundary Mapping and an Asymptotically Preserving Robin Formulation. - Jens Visbech; Allan P. Engsig-Karup; Mario Ricchiuto (J. Sci. Comput., 2025)

On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws. - Elena Gaburro; Mario Ricchiuto; Michael Dumbser (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)