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Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and non-stiff relaxation terms

Christophe Berthon , Christophe Chalons , Rodolphe Turpault
Numerical Methods for Partial Differential Equations, 2012, vol 29 (4), pp 1149-1172. ⟨10.1002/num.21749⟩
Article dans une revue hal-00909103v1
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A domain decomposition strategy for a very high-order finite volumes scheme applied to cardiac electrophysiology

Yves Coudière , Rodolphe Turpault
Journal of computational science, 2019, 37, pp.101025. ⟨10.1016/j.jocs.2019.101025⟩
Article dans une revue hal-02327953v1

High-order asymptotic-preserving schemes for linear systems: Application to the Goldstein-Taylor equations

Rodolphe Turpault , Christophe Chalons
Numerical Methods for Partial Differential Equations, In press, ⟨10.1002/num.22363⟩
Article dans une revue hal-02043513v1
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An hybrid model for radiative transfer

Rodolphe Turpault
2008
Pré-publication, Document de travail hal-00275642v1

Discrete-velocity models for numerical simulations in transitional regime for rarefied flows and radiative transfer

Pierre Charrier , Bruno Dubroca , Luc Mieussens , Rodolphe Turpault
IMA Volumes in Mathematics and its Applications, 2003, 135, pp.85-103
Article dans une revue hal-00385475v1
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A 2D/3D Discrete Duality Finite Volume Scheme. Application to ECG simulation

Yves Coudiere , Charles Pierre , Olivier Rousseau , Rodolphe Turpault
International Journal on Finite Volumes, 2009, 6 (1), pp.1-24
Article dans une revue hal-00328251v1
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A 2D/3D Finite Volume Method used to solve the bidomain equations of electrocardiology

Yves Coudière , Charles Pierre , Rodolphe Turpault
ALGORITHMY 2009, Mar 2009, Podbanské, Slovakia. pp.1--10
Communication dans un congrès hal-00357267v1
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Modelisation, approximation numerique et applications du transfert radiatif en desequilibre spectral couple avec l'hydrodynamique

Rodolphe Turpault
Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2003. Français. ⟨NNT : ⟩
Thèse tel-00004620v1
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A Priori Neural Networks Versus A Posteriori MOOD Loop: A High Accurate 1D FV Scheme Testing Bed

Alexandre Bourriaud , Raphaël Loubère , Rodolphe Turpault
Journal of Scientific Computing, 2020, 84 (2), ⟨10.1007/s10915-020-01282-1⟩
Article dans une revue hal-03084463v1
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Solving the Fully Coupled Heart and Torso Problems of ElectroCardiology with a 3D Discrete Duality Finite Volume Method

Yves Coudière , Charles Pierre , Rodolphe Turpault
2006
Pré-publication, Document de travail hal-00016825v1

A Priori Neural Networks Versus A Posteriori MOOD Loop: A High Accurate 1D FV Scheme Testing Bed

Alexandre Bourriaud , Raphaël Loubère , Rodolphe Turpault
Journal of Scientific Computing, 2020, 84 (2), ⟨10.1007/s10915-020-01282-1⟩
Article dans une revue hal-02908280v1
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Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes

Florian Blachère , Christophe Chalons , Rodolphe Turpault
Computers & Mathematics with Applications, 2021, 87, pp.41-49. ⟨10.1016/j.camwa.2021.02.003⟩
Article dans une revue hal-03157500v1
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Shock profiles for the Shallow-water Exner models

Christophe Berthon , Benjamin Boutin , Rodolphe Turpault
Advances in Applied Mechanics, 2015, 7 (3), pp.267-294. ⟨10.4208/aamm.2013.m331⟩
Article dans une revue hal-01202866v1
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An admissible asymptotic-preserving numerical scheme for the electronic M1 model in the diffusive limit

Sébastien Guisset , Stéphane Brull , Bruno D. Dubroca , Rodolphe Turpault
Communications in Computational Physics, 2018, 24 (5), pp.1326-1354. ⟨10.4208/CICP.OA-2017-0188⟩
Article dans une revue hal-03993091v1
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Modélisation, analyse numérique et simulations de phénomènes complexes pour des systèmes hyperboliques de lois de conservation avec termes sources raides et en électrocardiologie.

Rodolphe Turpault
Analyse numérique [math.NA]. Université de Nantes, 2012
HDR tel-01382786v1
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2D/3D Discrete Duality Finite Volume (DDFV) scheme for anisotropic- heterogeneous elliptic equations, application to the electrocardiogram simulation.

Yves Coudiere , Charles Pierre , Olivier Rousseau , Rodolphe Turpault
Int. symposium on Finite Volumes for Complex Applications V, 2008, Aussois, France. pp.313-320
Communication dans un congrès hal-00189765v1
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Multifocal Ectopic Purkinje-Related Premature Contractions: A New SCN5A-Related Cardiac Channelopathy.

Gabriel Laurent , Samuel Saal , Mohamed Yassine Amarouch , Delphine M. Béziau , Roos F. J. Marsman , et al.
Journal of the American College of Cardiology, 2012, 60 (2), pp.144-56. ⟨10.1016/j.jacc.2012.02.052⟩
Article dans une revue inserm-00719034v1

A high order MOOD method for compressible Navier-Stokes equations: application to hypersonic viscous flows

Rodolphe Turpault , Thanh Ha Nguyen Bui
Progress in Computational Fluid Dynamics, 2019, 19 (6), pp.337. ⟨10.1504/PCFD.2019.103257⟩
Article dans une revue hal-02476061v1

Very high order finite volume methods for cardiac electrophysiology

Yves Coudière , Rodolphe Turpault
Computers & Mathematics with Applications, 2017, ⟨10.1016/j.camwa.2017.05.012⟩
Article dans une revue hal-01532105v1

Deterministic Neural Networks Optimization from a Continuous and Energy Point of View

Bilel Bensaid , Gaël Poëtte , Rodolphe Turpault
Journal of Scientific Computing, 2023, 96 (1), pp.14. ⟨10.1007/s10915-023-02215-4⟩
Article dans une revue hal-04107695v1
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An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes

Florian Blachère , Rodolphe Turpault
Journal of Computational Physics, 2016, ⟨10.1016/j.jcp.2016.03.045⟩
Article dans une revue hal-01293971v1
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An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction

Florian Blachère , Rodolphe Turpault
Computer Methods in Applied Mechanics and Engineering, 2017, ⟨10.1016/j.cma.2017.01.012⟩
Article dans une revue hal-01436735v1
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An Asymptotic-Preserving Scheme for Systems of Conservation Laws with Source Terms on 2D Unstructured Meshes

C Berthon , G Moebs , C Sarazin-Desbois , Rodolphe Turpault
Communications in Applied Mathematics and Computational Science, 2016, ⟨10.1007/978-3-319-05684-5_9⟩
Article dans une revue hal-01255899v1
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How to compute the extracellular potential in electrocardiology from an extended monodomain model

M. Chhay , Yves Coudière , Rodolphe Turpault
[Research Report] RR-7916, INRIA. 2012, pp.9
Rapport hal-00683386v1

An efficient scheme on wet/dry transitions for shallow water equations with friction

Fabien Marche , Christophe Berthon , Rodolphe Turpault
Computers and Fluids, 2011, 48 (1), pp.192--201. ⟨10.1016/j.compfluid.2011.04.011⟩
Article dans une revue istex hal-00799075v1