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Journal Articles
- 2024
[j27]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. Comput. Math. Appl. 175: 1-18 (2024)- [j26]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: 112667 (2024) - [j25]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): 66 (2024) - [j24]Stéphane Clain, Jorge Figueiredo:
Stencil and kernel optimisation for mesh-free very high-order generalised finite difference method. Math. Comput. Simul. 218: 49-78 (2024) - 2023
- [j23]Stéphane Clain, Rui M. S. Pereira, Paulo A. Pereira, Diogo Lopes:
Structural schemes for one dimension stationary equations. Appl. Math. Comput. 457: 128207 (2023) - [j22]Stéphane Clain, Gaspar José Machado, Maria Teresa Malheiro:
Compact schemes in time with applications to partial differential equations. Comput. Math. Appl. 140: 107-125 (2023) - 2021
- [j21]Maria Teresa Malheiro, Gaspar José Machado, Stéphane Clain:
An a posteriori strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations. Comput. Math. Appl. 103: 65-81 (2021) - [j20]Stéphane Clain, Diogo Lopes, Rui M. S. Pereira:
Very high-order Cartesian-grid finite difference method on arbitrary geometries. J. Comput. Phys. 434: 110217 (2021) - [j19]Ricardo Costa, João Miguel 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: 110604 (2021) - [j18]Jorge Figueiredo, Stéphane Clain:
A MOOD-MUSCL Hybrid Formulation for the Non-conservative Shallow-Water System. J. Sci. Comput. 88(1): 2 (2021) - 2018
- [j17]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): 571-607 (2018) - [j16]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): 609 (2018) - [j15]Amélia Loja, Stéphane Louis Clain, Joaquim Infante Barbosa, José Alberto Rodrigues:
Foreword to the Special Focus on Advances in Symbolic and Numeric Computation II. Math. Comput. Sci. 12(2): 107-109 (2018) - 2017
- [j14]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: 115-154 (2017) - [j13]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: 501-527 (2017) - [j12]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): 1375-1411 (2017) - 2016
- [j11]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): 568-593 (2016) - 2015
- [j10]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): 529-537 (2015) - 2014
- [j9]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): 1229-1249 (2014) - [j8]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): 1292-1311 (2014) - 2013
- [j7]Stéphane Clain:
Finite Volume Maximum Principle for Hyperbolic Scalar Problems. SIAM J. Numer. Anal. 51(1): 467-490 (2013) - 2011
- [j6]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): 4028-4050 (2011) - 2010
- [j5]Thierry Buffard, Stéphane Clain:
Monoslope and multislope MUSCL methods for unstructured meshes. J. Comput. Phys. 229(10): 3745-3776 (2010) - [j4]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): 4884-4906 (2010) - [j3]Stéphane Clain, Vivien Clauzon:
L∞ stability of the MUSCL methods. Numerische Mathematik 116(1): 31-64 (2010) - 2009
- [j2]Stéphane Clain, David Rochette:
First- and second-order finite volume methods for the one-dimensional nonconservative Euler system. J. Comput. Phys. 228(22): 8214-8248 (2009) - 2006
- [j1]David Rochette, Stéphane Clain:
Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump. J. Comput. Phys. 219(1): 104-119 (2006)
Conference and Workshop Papers
- 2015
- [c2]Pedro D. Salgueiro, Salvador Abreu, Jose Rolo, Stéphane Clain:
An interactive web-based tool for breast reduction surgery simulation. 3DUI 2015: 181-182 - 2014
- [c1]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: 87-102
Informal and Other Publications
- 2023
- [i7]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 abs/2312.07170 (2023) - 2021
- [i6]Maria Teresa Malheiro, Gaspar José Machado, Stéphane Clain:
An a posteriori strategy for adaptive schemes in time and space. CoRR abs/2101.00659 (2021) - [i5]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 abs/2101.00725 (2021) - 2020
- [i4]Diogo Lopes, António Ramires Fernandes, Stéphane Clain:
An Hybrid Method for the Estimation of the Breast Mechanical Parameters. CoRR abs/2003.07274 (2020) - [i3]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 abs/2004.04484 (2020) - [i2]Stéphane Clain, Diogo Lopes, Rui M. S. Pereira:
Very high-order Cartesian-grid finite difference method on arbitrary geometries. CoRR abs/2007.14680 (2020) - 2019
- [i1]Diogo Lopes, Stéphane Clain, António Ramires Fernandes:
Parameters identification method for breast biomechanical numerical model. CoRR abs/1901.00518 (2019)
Coauthor Index
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