Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump. - David Rochette; Stéphane Clain (J. Comput. Phys., 2006)

First- and second-order finite volume methods for the one-dimensional nonconservative Euler system. - Stéphane Clain; David Rochette (J. Comput. Phys., 2009)

Monoslope and multislope MUSCL methods for unstructured meshes. - Thierry Buffard; Stéphane Clain (J. Comput. Phys., 2010)

A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for axisymmetric swirling flows. - Stéphane Clain; David Rochette; Rachid Touzani (J. Comput. Phys., 2010)

L∞ stability of the MUSCL methods. - Stéphane Clain; Vivien Clauzon (Numerische Mathematik, 2010)

A high-order finite volume method for systems of conservation laws - Multi-dimensional Optimal Order Detection (MOOD). - Stéphane Clain; Steven Diot; Raphaël Loubère (J. Comput. Phys., 2011)

Finite Volume Maximum Principle for Hyperbolic Scalar Problems. - Stéphane Clain (SIAM J. Numer. Anal., 2013)

Finite Volume Scheme Based on Cell-Vertex Reconstructions for Anisotropic Diffusion Problems with Discontinuous Coefficients. - Ricardo Costa; Stéphane Clain; Gaspar José Machado (ICCSA (1), 2014)

A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher Tableau extension. - Stéphane Clain; Gaspar José Machado (Comput. Math. Appl., 2014)

New cell-vertex reconstruction for finite volume scheme: Application to the convection-diffusion-reaction equation. - Ricardo Costa; Stéphane Clain; Gaspar José Machado (Comput. Math. Appl., 2014)

An interactive web-based tool for breast reduction surgery simulation. - Pedro D. Salgueiro; Salvador Abreu; Jose Rolo; Stéphane Clain (3DUI, 2015)

A Sixth-Order Finite Volumemethod for the 1D Biharmonic Operator: Application to Intramedullary Nail Simulation. - Ricardo Costa; Gaspar José Machado; Stéphane Clain (Int. J. Appl. Math. Comput. Sci., 2015)

A well-balanced scheme for the shallow-water equations with topography. - Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher (Comput. Math. Appl., 2016)

A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes. - Ricardo Costa; Stéphane Clain; Gaspar José Machado (J. Comput. Phys., 2017)

A well-balanced scheme for the shallow-water equations with topography or Manning friction. - Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher (J. Comput. Phys., 2017)

A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier-Stokes and Euler Equations on Unstructured Meshes. - Ricardo Costa; Stéphane Clain; Gaspar José Machado; Raphaël Loubère (J. Sci. Comput., 2017)

a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. - Stéphane Clain; Raphaël Loubère; Gaspar José Machado (Adv. Comput. Math., 2018)

Erratum to: a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. - Stéphane Clain; Raphaël Loubère; Gaspar José Machado (Adv. Comput. Math., 2018)

Foreword to the Special Focus on Advances in Symbolic and Numeric Computation II. - Amélia Loja; Stéphane Louis Clain; Joaquim Infante Barbosa; José Alberto Rodrigues (Math. Comput. Sci., 2018)

Parameters identification method for breast biomechanical numerical model. - Diogo Lopes; Stéphane Clain; António Ramires Fernandes (CoRR, 2019)

An Hybrid Method for the Estimation of the Breast Mechanical Parameters. - Diogo Lopes; António Ramires Fernandes; Stéphane Clain (CoRR, 2020)

A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction. - Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher (CoRR, 2020)

An a posteriori strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations. - Maria Teresa Malheiro; Gaspar José Machado; Stéphane Clain (Comput. Math. Appl., 2021)

An a posteriori strategy for adaptive schemes in time and space. - Maria Teresa Malheiro; Gaspar José Machado; Stéphane Clain (CoRR, 2021)

a posteriori stabilized sixth-order finite volume scheme with adaptive stencil construction - Basics for the 1D steady-state hyperbolic equations. - Gaspar José Machado; Stéphane Clain; Raphaël Loubère (CoRR, 2021)

Very high-order Cartesian-grid finite difference method on arbitrary geometries. - Stéphane Clain; Diogo Lopes; Rui M. S. Pereira (J. Comput. Phys., 2021)

Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains. - Ricardo Costa; João Miguel Nóbrega; Stéphane Clain; Gaspar José Machado (J. Comput. Phys., 2021)

A MOOD-MUSCL Hybrid Formulation for the Non-conservative Shallow-Water System. - Jorge Figueiredo; Stéphane Clain (J. Sci. Comput., 2021)

Compact schemes in time with applications to partial differential equations. - Stéphane Clain; Gaspar José Machado; Maria Teresa Malheiro (Comput. Math. Appl., 2023)

Structural schemes for one dimension stationary equations. - Stéphane Clain; Rui M. S. Pereira; Paulo A. Pereira; Diogo Lopes (Appl. Math. 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)

Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations. - Stéphane Clain; Diogo Lopes; Rui M. S. Pereira; Paulo A. Pereira (J. Comput. Phys., 2024)

Stencil and kernel optimisation for mesh-free very high-order generalised finite difference method. - Stéphane Clain; Jorge Figueiredo (Math. Comput. Simul., 2024)

Very High-Order Accurate Discontinuous Galerkin Method for Curved Boundaries with Polygonal Meshes. - Milene Santos; Adérito Araújo; Sílvia Barbeiro; Stéphane Clain; Ricardo Costa; Gaspar José Machado (J. Sci. Comput., 2024)

Structural schemes for hamiltonian systems. - Stéphane Clain; Emmanuel Franck; Victor Michel-Dansac (CoRR, 2025)