Stéphane Clain

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 24

Top Topics

Finite Difference Method

Finite Difference

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

J. Sci. Comput.

Publications

Stéphane Clain, Jorge Figueiredo
Stencil and kernel optimisation for mesh-free very high-order generalised finite difference method. Math. Comput. Simul. 218 (2024)
Stéphane Clain, Diogo Lopes, Rui M. S. Pereira, Paulo A. Pereira
Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations. J. Comput. Phys. 498 (2024)
Milene Santos, Adérito Araújo, Sílvia Barbeiro, Stéphane Clain, Ricardo Costa, Gaspar José Machado
Very High-Order Accurate Discontinuous Galerkin Method for Curved Boundaries with Polygonal Meshes. J. Sci. Comput. 100 (3) (2024)
Mirco Ciallella, Stéphane Clain, Elena Gaburro, Mario Ricchiuto
Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time Reconstruction for Off-site data. CoRR (2023)
Stéphane Clain, Gaspar José Machado, Maria Teresa Malheiro
Compact schemes in time with applications to partial differential equations. Comput. Math. Appl. 140 (2023)
Stéphane Clain, Rui M. S. Pereira, Paulo A. Pereira, Diogo Lopes
Structural schemes for one dimension stationary equations. Appl. Math. Comput. 457 (2023)
Maria T. Malheiro, Gaspar José Machado, Stéphane Clain
strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations. Comput. Math. Appl. 103 (2021)
Gaspar José Machado, Stéphane Clain, Raphaël Loubère
a posteriori stabilized sixth-order finite volume scheme with adaptive stencil construction - Basics for the 1D steady-state hyperbolic equations. CoRR (2021)
Jorge Figueiredo, Stéphane Clain
A MOOD-MUSCL Hybrid Formulation for the Non-conservative Shallow-Water System. J. Sci. Comput. 88 (1) (2021)
Maria T. Malheiro, Gaspar José Machado, Stéphane Clain
An a posteriori strategy for adaptive schemes in time and space. CoRR (2021)
Ricardo Costa, João M. Nóbrega, Stéphane Clain, Gaspar José Machado
Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains. J. Comput. Phys. 445 (2021)
Stéphane Clain, Diogo Lopes, Rui M. S. Pereira
Very high-order Cartesian-grid finite difference method on arbitrary geometries. J. Comput. Phys. 434 (2021)
Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction. CoRR (2020)
Stéphane Clain, Diogo Lopes, Rui M. S. Pereira
Very high-order Cartesian-grid finite difference method on arbitrary geometries. CoRR (2020)
Diogo Lopes, António Ramires Fernandes, Stéphane Clain
An Hybrid Method for the Estimation of the Breast Mechanical Parameters. CoRR (2020)
Diogo Lopes, Stéphane Clain, António Ramires Fernandes
Parameters identification method for breast biomechanical numerical model. CoRR (2019)
Stéphane Clain, Raphaël Loubère, Gaspar José Machado
Erratum to: a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. Adv. Comput. Math. 44 (2) (2018)
Stéphane Clain, Raphaël Loubère, Gaspar José Machado
a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. Adv. Comput. Math. 44 (2) (2018)
Ricardo Costa, Stéphane Clain, Gaspar José Machado, Raphaël Loubère
A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier-Stokes and Euler Equations on Unstructured Meshes. J. Sci. Comput. 71 (3) (2017)
Ricardo Costa, Stéphane Clain, Gaspar José Machado
A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes. J. Comput. Phys. 349 (2017)
Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
A well-balanced scheme for the shallow-water equations with topography or Manning friction. J. Comput. Phys. 335 (2017)
Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
A well-balanced scheme for the shallow-water equations with topography. Comput. Math. Appl. 72 (3) (2016)
Pedro D. Salgueiro, Salvador Abreu, Jose Rolo, Stéphane Clain
An interactive web-based tool for breast reduction surgery simulation. 3DUI (2015)
Ricardo Costa, Gaspar José Machado, Stéphane Clain
A Sixth-Order Finite Volumemethod for the 1D Biharmonic Operator: Application to Intramedullary Nail Simulation. Int. J. Appl. Math. Comput. Sci. 25 (3) (2015)
Ricardo Costa, Stéphane Clain, Gaspar José Machado
New cell-vertex reconstruction for finite volume scheme: Application to the convection-diffusion-reaction equation. Comput. Math. Appl. 68 (10) (2014)
Ricardo Costa, Stéphane Clain, Gaspar José Machado
Finite Volume Scheme Based on Cell-Vertex Reconstructions for Anisotropic Diffusion Problems with Discontinuous Coefficients. ICCSA (1) (2014)
Stéphane Clain, Gaspar José Machado
A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher Tableau extension. Comput. Math. Appl. 68 (10) (2014)
Stéphane Clain
Finite Volume Maximum Principle for Hyperbolic Scalar Problems. SIAM J. Numer. Anal. 51 (1) (2013)
Stéphane Clain, Steven Diot, Raphaël Loubère
A high-order finite volume method for systems of conservation laws - Multi-dimensional Optimal Order Detection (MOOD). J. Comput. Phys. 230 (10) (2011)
Stéphane Clain, David Rochette, Rachid Touzani
A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for axisymmetric swirling flows. J. Comput. Phys. 229 (13) (2010)
Thierry Buffard, Stéphane Clain
Monoslope and multislope MUSCL methods for unstructured meshes. J. Comput. Phys. 229 (10) (2010)
Stéphane Clain, Vivien Clauzon
stability of the MUSCL methods. Numerische Mathematik 116 (1) (2010)
Stéphane Clain, David Rochette
First- and second-order finite volume methods for the one-dimensional nonconservative Euler system. J. Comput. Phys. 228 (22) (2009)
David Rochette, Stéphane Clain
Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump. J. Comput. Phys. 219 (1) (2006)