A Simple Method for Compressible Multifluid Flows. - Richard Saurel; Rémi Abgrall (SIAM J. Sci. Comput., 1999)

High Order Numerical Discretization for Hamilton-Jacobi Equations on Triangular Meshes. - Steeve Augoula; Rémi Abgrall (J. Sci. Comput., 2000)

High Order Fluctuation Schemes on Triangular Meshes. - Rémi Abgrall; Philip L. Roe (J. Sci. Comput., 2003)

Numerical Discretization of Boundary Conditions for First Order Hamilton-Jacobi Equations. - Rémi Abgrall (SIAM J. Numer. Anal., 2003)

Residual Distribution Schemes for Conservation Laws via Adaptive Quadrature. - Rémi Abgrall; Timothy Barth (SIAM J. Sci. Comput., 2003)

Essentially non-oscillatory Residual Distribution schemes for hyperbolic problems. - Rémi Abgrall (J. Comput. Phys., 2006)

Asymptotic Expansion of a Multiscale Numerical Scheme for Compressible Multiphase Flow. - Rémi Abgrall; Vincent Perrier (Multiscale Model. Simul., 2006)

On the Numerical Approximation of First-Order Hamilton-Jacobi Equations. - Rémi Abgrall; Vincent Perrier (Int. J. Appl. Math. Comput. Sci., 2007)

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)

Residual Distribution Schemes on Quadrilateral Meshes. - Rémi Abgrall; F. Marpeau (J. Sci. Comput., 2007)

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems. - Pierre-Henri Maire; Rémi Abgrall; Jérôme Breil; Jean Ovadia (SIAM J. Sci. Comput., 2007)

Construction of Simple, Stable, and Convergent High Order Schemes for Steady First Order Hamilton–Jacobi Equations. - Rémi Abgrall (SIAM J. Sci. Comput., 2009)

Two-Layer Shallow Water System: A Relaxation Approach. - Rémi Abgrall; Smadar Karni (SIAM J. Sci. Comput., 2009)

A comment on the computation of non-conservative products. - Rémi Abgrall; Smadar Karni (J. Comput. Phys., 2010)

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

An Example of High Order Residual Distribution Scheme Using non-Lagrange Elements. - Rémi Abgrall; J. Trefilík (J. Sci. Comput., 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)

Preface to the special issue "High order methods for CFD problems". - Rémi Abgrall; Jianxian Qiu (J. Comput. Phys., 2011)

Preface. - Rémi Abgrall; Denise Aregba; Christophe Berthon; Manuel J. Castro; Carlos Parés (J. Sci. Comput., 2011)

A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems. - Rémi Abgrall; Pietro Marco Congedo (J. Comput. Phys., 2013)

A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids. - Pierre-Henri Maire; Rémi Abgrall; Jérôme Breil; Raphaël Loubère; Bernard Rebourcet (J. Comput. Phys., 2013)

An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques. - Rémi Abgrall; Héloïse Beaugendre; C. Dobrzynski (J. Comput. Phys., 2014)

A one-time truncate and encode multiresolution stochastic framework. - Rémi Abgrall; Pietro Marco Congedo; Gianluca Geraci (J. Comput. Phys., 2014)

Frontiers in Computational Physics: Modeling the Earth System. - Rémi Abgrall; Piotr K. Smolarkiewicz; Feng Xiao 001; Stéphane Zaleski (J. Comput. Phys., 2014)

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows. - Dinshaw S. Balsara; Michael Dumbser; Rémi Abgrall (J. Comput. Phys., 2014)

Water wave propagation in unbounded domains. Part II: Numerical methods for fractional PDEs. - G. I. Jennings; D. Prigge; S. Carney; Smadar Karni; Jeffrey B. Rauch; Rémi Abgrall (J. Comput. Phys., 2014)

Physics-compatible numerical methods. - Barry Koren; Rémi Abgrall; Pavel B. Bochev; Jason Frank; J. Blair Perot (J. Comput. Phys., 2014)

A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids. - François Vilar; Pierre-Henri Maire; Rémi Abgrall (J. Comput. Phys., 2014)

Robust Finite Volume Schemes for Two-Fluid Plasma Equations. - Rémi Abgrall; Harish Kumar 001 (J. Sci. Comput., 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)

How to Avoid Mass Matrix for Linear Hyperbolic Problems. - Rémi Abgrall; Paola Bacigaluppi; Svetlana V. Tokareva (ENUMATH, 2015)

Stochastic Discrete Equation Method (sDEM) for two-phase flows. - Rémi Abgrall; Pietro Marco Congedo; Gianluca Geraci; Maria Giovanna Rodio (J. Comput. Phys., 2015)

Linear and non-linear high order accurate residual distribution schemes for the discretization of the steady compressible Navier-Stokes equations. - Rémi Abgrall; Dante De Santis (J. Comput. Phys., 2015)

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

Robust model reduction by L1-norm minimization and approximation via dictionaries: application to nonlinear hyperbolic problems. - Rémi Abgrall; David Amsallem; Roxana Crisovan (Adv. Model. Simul. Eng. Sci., 2016)

Editorial. - Rémi Abgrall (J. Comput. Phys., 2016)

Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulation. - Kunkun Tang; Pietro Marco Congedo; Rémi Abgrall (J. Comput. Phys., 2016)

A Novel Weakly-Intrusive Non-linear Multiresolution Framework for Uncertainty Quantification in Hyperbolic Partial Differential Equations. - Gianluca Geraci; Pietro Marco Congedo; Rémi Abgrall; Gianluca Iaccarino (J. Sci. Comput., 2016)

Computational science for energy research. - Rémi Abgrall; Barry Koren (J. Comput. Phys., 2017)

High Order Schemes for Hyperbolic Problems Using Globally Continuous Approximation and Avoiding Mass Matrices. - Rémi Abgrall (J. Sci. Comput., 2017)

Construction of a p-Adaptive Continuous Residual Distribution Scheme. - Rémi Abgrall; Q. Viville; Héloïse Beaugendre; C. Dobrzynski (J. Sci. Comput., 2017)

Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties. - Rémi Abgrall; Pietro Marco Congedo; Gianluca Geraci (Math. Comput. Simul., 2017)

Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics. - Rémi Abgrall; Svetlana V. Tokareva (SIAM J. Sci. Comput., 2017)

Some Remarks About Conservation for Residual Distribution Schemes. - Rémi Abgrall (Comput. Methods Appl. Math., 2018)

Capturing near-equilibrium solutions: a comparison between high-order Discontinuous Galerkin methods and well-balanced schemes. - Maria Han Veiga; Rémi Abgrall; Romain Teyssier (CoRR, 2018)

A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes. - Rémi Abgrall (J. Comput. Phys., 2018)

High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics. - Rémi Abgrall; Paola Bacigaluppi; Svetlana V. Tokareva (Comput. Math. Appl., 2019)

A class of finite dimensional spaces and H(div) conformal elements on general polytopes. - Rémi Abgrall; Élise Le Mélédo; Philipp Öffner (CoRR, 2019)

Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes. - Rémi Abgrall; Philipp Öffner; Hendrik Ranocha (CoRR, 2019)

General polytopial H(div) conformal finite elements and their discretisation spaces. - Rémi Abgrall; Élise Le Mélédo; Philipp Öffner (CoRR, 2019)

Non-equilibrium Model for Weakly Compressible Multi-component Flows: the Hyperbolic Operator. - Barbara Re 002; Rémi Abgrall (CoRR, 2019)

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability. - Rémi Abgrall; Jan Nordström; Philipp Öffner; Svetlana V. Tokareva (CoRR, 2019)

Neural network based limiter with transfer learning. - Maria Han Veiga; Rémi Abgrall (CoRR, 2019)

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)

High Order Residual Distribution for Steady State Problems for Hyperbolic Conservation Laws. - Jianfang Lin; Rémi Abgrall; Jianxian Qiu (J. Sci. Comput., 2019)

On the simulation of multicomponent and multiphase compressible flows. - Rémi Abgrall; Paola Bacigaluppi; Barbara Re 002 (CoRR, 2020)

A combination of Residual Distribution and the Active Flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations. - Rémi Abgrall (CoRR, 2020)

Letter from the Editor: About "A linear, second-order, energy stable, fully adaptive finite-element method for phase-field modelling of wetting phenomena" by B. Aymard, U. Vaes, M. Pradras and S. Kalliadasis [J. Comput. Phys. X 2 (2019) 100010]. - Rémi Abgrall (J. Comput. Phys., 2020)

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems. - Rémi Abgrall; Jan Nordström; Philipp Öffner; Svetlana V. Tokareva (J. Sci. Comput., 2020)

Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics. - Rémi Abgrall; Konstantin Lipnikov; Nathaniel R. Morgan; Svetlana V. Tokareva (SIAM J. Sci. Comput., 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 pressure-based method for weakly compressible two-phase flows under a Baer-Nunziato type model with generic equations of state and pressure and velocity disequilibrium. - Barbara Re 002; Rémi Abgrall (CoRR, 2021)

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

Staggered Residual Distribution scheme for compressible flow. - Rémi Abgrall; Ksenya Ivanova (CoRR, 2021)

Preface. - Rémi Abgrall; Nikolaus A. Adams; Luis Chacón; Feng Xiao 001 (J. Comput. Phys., 2021)

THINC scaling method that bridges VOF and level set schemes. - Ronit Kumar; Lidong Cheng; Yunong Xiong; Bin Xie; Rémi Abgrall; Feng Xiao 001 (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)

Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum. - Rémi Abgrall; Fatemeh Nassajian Mojarrad (CoRR, 2022)

On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. - Rémi Abgrall; Mária Lukácová-Medvid'ová; Philipp Öffner (CoRR, 2022)

Extensions of Active Flux to arbitrary order of accuracy. - Rémi Abgrall; Wasilij Barsukow (CoRR, 2022)

Evaluating a distance function. - Rémi Abgrall (CoRR, 2022)

textit{A Posteriori} local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids. - François Vilar; Rémi Abgrall (CoRR, 2022)

Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization. - Rémi Abgrall; Philipp Öffner; Hendrik Ranocha (J. Comput. Phys., 2022)

High order residual distribution conservative finite difference HWENO scheme for steady state problems. - Jianfang Lin; Yupeng Ren; Rémi Abgrall; Jianxian Qiu (J. Comput. Phys., 2022)

Assessment of a Non-Conservative Four-Equation Multiphase System with Phase Transition. - Paola Bacigaluppi; Julien Carlier; Marica Pelanti; Pietro Marco Congedo; Rémi Abgrall (J. Sci. Comput., 2022)

A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. - Rémi Abgrall; Saray Busto; Michael Dumbser (Appl. Math. Comput., 2023)

A Monte-Carlo ab-initio algorithm for the multiscale simulation of compressible multiphase flows. - Marco Petrella; Rémi Abgrall; Siddhartha Mishra (CoRR, 2023)

An arbitrarily high order and asymptotic preserving kinetic scheme in compressible fluid dynamic. - Rémi Abgrall; Fatemeh Nassajian Mojarrad (CoRR, 2023)

A personal discussion on conservation, and how to formulate it. - Rémi Abgrall (CoRR, 2023)

The Active Flux method for the Euler equations on Cartesian grids. - Rémi Abgrall; Wasilij Barsukow; Christian Klingenberg (CoRR, 2023)

Active flux for triangular meshes for compressible flows problems. - Rémi Abgrall; Jianfang Lin; Yongle Liu (CoRR, 2023)

A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: II. Multi-dimensional case. - Gauthier Wissocq; Rémi Abgrall (CoRR, 2023)

A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model. - Rémi Abgrall; Pratik Rai; Florent Renac (J. Comput. Phys., 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)

"A posteriori" limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. - Paola Bacigaluppi; Rémi Abgrall; Svetlana V. Tokareva (J. Comput. Phys., 2023)

On the discrete equation model for compressible multiphase fluid flows. - Marco Petrella; Rémi Abgrall; Siddhartha Mishra (J. Comput. Phys., 2023)

A hybrid finite element-finite volume method for conservation laws. - Rémi Abgrall; Wasilij Barsukow (Appl. Math. Comput., 2023)

Correction to: Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. - Hans De Sterck; Chi-Wang Shu; Rémi Abgrall (J. Sci. Comput., 2023)

Enhancing reproducibility of research papers in SISC, JSC and JCP. - Hans De Sterck; Chi-Wang Shu; Rémi Abgrall (J. Comput. Phys., 2023)

Momentum Weighted Interpolation for unsteady weakly compressible two-phase flows on unstructured meshes. - Giuseppe Sirianni; Barbara Re 002; Rémi Abgrall; Alberto Guardone (J. Comput. Appl. Math., 2023)

An Explicit Primitive Conservative Solver for the Euler Equations with Arbitrary Equation of State. - Giuseppe Sirianni; Alberto Guardone; Barbara Re 002; Rémi Abgrall (CoRR, 2024)

Bound preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme: one-dimensional case. - Rémi Abgrall; Miaosen Jiao; Yongle Liu; Kailiang Wu (CoRR, 2024)

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions. - Gauthier Wissocq; Yongle Liu; Rémi Abgrall (CoRR, 2024)

Virtual finite element and hyperbolic problems: the PAMPA algorithm. - Rémi Abgrall; Yongle Liu; Walter Boscheri (CoRR, 2024)

A Novel and Simple Invariant-Domain-Preserving Framework for PAMPA Scheme: 1D Case. - Rémi Abgrall; Miaosen Jiao; Yongle Liu; Kailiang Wu (CoRR, 2024)

A few words about Roland Glowinski. - Rémi Abgrall; Charbel Farhat; Olivier Pironneau (J. Comput. Phys., 2024)

A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: I. One-dimensional case. - Gauthier Wissocq; Rémi Abgrall (J. Comput. Phys., 2024)

A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations. - Rémi Abgrall; Yongle Liu (SIAM J. Sci. Comput., 2024)

A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids. - François Vilar; Rémi Abgrall (SIAM J. Sci. Comput., 2024)

Staggered Schemes for Compressible Flow: A General Construction. - Rémi Abgrall (SIAM J. Sci. Comput., 2024)

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

Preface for the special issue in memory of Sergei Godunov (17/07/1929 - 15/07/2023). - Rémi Abgrall; Michael Dumbser; Pierre-Henri Maire; Ilya Peshkov; Evgeniy I. Romenski (J. Comput. Phys., 2025)

Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes. - Rémi Abgrall; Yongle Liu; Walter Boscheri (CoRR, 2025)

A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids. - Rémi Abgrall; Wasilij Barsukow; Christian Klingenberg (J. Sci. Comput., 2025)

A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes. - Rémi Abgrall; Michael Dumbser; Pierre-Henri Maire (CoRR, 2025)

A New Semi-Discrete Finite-Volume Active Flux Method for Hyperbolic Conservation Laws. - Rémi Abgrall; Alina Chertock; Alexander Kurganov; Lorenzo Micalizzi (CoRR, 2025)