Mémoires:
R. Turpault, Modélisation, analyse numérique et simulations de phénomènes complexes pour des systèmes
hyperboliques de lois de conservation avec termes sources raides et en électrocardiologie,
Mémoire d'habilitation à diriger des recherches de l'Université de Nantes (2012),
R. Turpault, Modélisation, approximation numérique et applications du transfert radiatif en
déséquilibre spectral couplé avec l'hydrodynamique, Thèse de doctorat de l'Université Bordeaux I (2003),
Articles publiés dans des revues à comité de lecture:
1. R. Turpault, Extensions and investigations of Space-time Generalized Riemann Problems numerical schemes for linear systems of conservation laws with relaxation source terms, Numerical Methods for Partial Differential Equations, e23118, DOI: https://doi.org/10.1002/num.23118 (2024),
2. B. Bensaid, G. Poette & R. Turpault, Deterministic Neural Networks Optimization from a Continuous and Energy Point of View, Journal of Scientific Computing, 96(1) 14 (2023),
3. R. Loubère, R. Turpault & A. Bourriaud, A MOOD-like compact high order Finite Volume scheme with Adaptive-Mesh-Refinement, Applied Mathematics and Computation, 443 127792 (2023),
4. F. Blachère, C. Chalons & R. Turpault, Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes, Computers & Math. w. Applications, 87 pp 41-49 (2021),
5. A. Bourriaud, R. Loubère & R. Turpault, A priori Neural Networks versus A posteriori MOOD Loop: A high accurate 1D FV scheme testing bed, Journal of Scientific Computing, 84(2) pp 1-36 (2020),
6. Y. Coudière & R. Turpault, A domain decomposition strategy for a very high-order finite volumes scheme applied to cardiac electrophysiology , Journal of Computational Science, 37 (2019),
7. C. Chalons & R. Turpault, High-order asymptotic-preserving schemes for linear systems. Application to the Goldstein-Taylor equations, Numerical Methods for Partial Differential Equations,35(4) pp 1538-1561 (2019),
8. R. Turpault & T.-H. Nguyen Bui, A high order MOOD method for compressible Navier-Stokes equations: application to hypersonic viscous flows, Prog. Comput. Fluid Dyn., 19(6) pp 337-345 (2019),
9. S. Guisset, S. Brull, B. Dubroca & R. Turpault, An admissible asymptotic-preserving numerical scheme for the electronic M1 model in the diffusive limit, Comm. Comput. Physics, 24(5)) pp 1326-1354 (2018),
10. Y. Coudière & R. Turpault, Very high order finite volume methods for cardiac electrophysiology , Comp. Math. Appli., 74 (4) pp 684-700 (2017),
11. F. Blachère & R. Turpault, An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstructions, Computer Methods in Applied Mech. and Eng., 317 (2017) pp 836-867,
12. F. Blachère & R. Turpault, An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes, Journal of Computational Physics, 315 (2016), 98-123 [pdf],
13. C. Berthon, G. Moebs, C. Sarazin-Desbois & R. Turpault, An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes, Communications in Applied Math. And Comput. Sci., 11(1) pp 55-77 (2016) [pdf]
14. C. Berthon, B. Boutin & R. Turpault, Shock profiles for the Shallow-water Exner model, Advances in Applied Mathematics and Mechanics 7 (03) (2015), 267-294, [pdf]
15. A. Duran, F. Marche, R. Turpault & C. Berthon, Asymptotic Preserving Scheme for the Shallow Water equations with source terms on unstrucured meshes, Journal of Computational Physics 287 (2015), 184-206
16. C. Berthon, M. Frank, K. Krycki & R. Turpault, Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds, M2AS, 36(16) (2013) 2101-2116, [pdf]
17. C. Berthon, C. Sarazin & R. Turpault, Space-time GRP solvers of order k for linear advection with unrestricted time step, Journal of Scientific computing 55 (2), 268-308 [pdf]
18. C. Berthon, C. Chalons & R. Turpault, Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and non-stiff relaxation terms, Numerical Methods for Partial Differential Equations 29 (4), 1149-1172, [pdf]
19. C. Berthon, P. LeFloch & R. Turpault, Late-time/stiff relaxation asymptotic-preserving approximations of hyperbolic equations, Math. Comp. 82 (2013) pp 831-860, [pdf]
20. A. Azzouzi, Y. Coudière, R. Turpault & N. Zemzemi, A mathematical model of Purkinje-Muscle Junctions, Math. Bio. Eng Vol 8(4) (2011) pp 915-930, [pdf]
21. C. Berthon, F. Marche & R. Turpault, A numerical scheme for Shallow Water Equations with friction, Computer and Fluids 48 (2011) pp 192-201, [pdf]
22. C. Berthon, M. Frank, C. Sarazin & R. Turpault, Numerical methods for balance laws with space dependent flux: application to radiotherapy dose calculation, Comm. Comput. Physics, 10 (2011), 1184-1210,[pdf]
23. C. Berthon & R.Turpault, Asymptotic preserving HLL schemes, Numerical Methods for Partial Differential Equations, 27 (6) (2011) pp 1396-1422, [pdf]
24. R. Turpault, Properties and frequential hybridisation of the multigroup M1 model for radiative transfer, Nonlinear Analysis: Real-World Applications Vol 11 (4) (2010) 2514-2528, [pdf]
26. C. Berthon, J. Dubois, B. Dubroca, T.-H. Nguyen Bui & R. Turpault, A Free Streaming Contact Preserving Scheme for the M1 Model, Adv. Appl. Math. Mech., 3 (2010), 259-285, [pdf]
26. Y. Coudière, C. Pierre, O. Rousseau & R.Turpault, A 2D/3D Discrete Duality Finite Volume Scheme. Application to ECG simulation, Int. J. Fin. Vol. 6 No 1 (2009), [pdf]
et son preprint:
Y. Coudière, C. Pierre & R.Turpault, Solving the Fully coupled Heart and Torso Problems of Electrocardiology with 3D Discrete Duality Finite Volume Method, (2006) hal-00016825.
27. C. Berthon, J. Dubois & R. Turpault, Numerical Approximation of the M1 model, SMF Panoramas & Synthèses 28 (2009) 55-86.
28. R. Turpault, A consistant multigroup model for radiative transfer and its underlying mean opacities, J. Quant. Spectrosc. Radiat. Transfer (94; 3-4) (2005), 357-371, [pdf]
29. R. Turpault, M. Frank, B. Dubroca & A. Klar, Multigroup Half Space Moment Approximations to the Radiative Heat Transfer Equations, J. Comp. Phys. 198 (2004), 364-371, [pdf]
Notes et article pluridisciplinaire:
30. C. Berthon & R. Turpault, A numerical correction of the M1-model in the diffusive limit, DCDS-S vol 5 (3) (2012), [pdf]
31. R. Turpault, Construction d'un modèle M1-multigroupe pour les équations du transfert radiatif, C. R. Acad. Sci. Paris, Ser. I, 334 (2002), 1-6, [pdf]
32. G. Laurent, S. Saal, M. Amarouch, D. Beziau, R. Marsman, L. Faivre, J. Barc, C. Dina, G. Bertaux, O. Barthez, C. Thauvin-Robinet, P. Charron, V. Fressart, A. Maltret, E. Villain, E. Baron, J. Mérot, R. Turpault, Y. Coudière, F. Charpentier, J. Schott, G. Loussouam, A. Wilde, J. Wolf, I. Baro, F. Kyndt & V. Probst, Multifocal Ectopic Purkinje-related Premature Contractions: a new SCN5A-related cardiac channelopathy, J. Am. Coll. Cardiol. vol 60(2) (2012) pp 144-156, [pdf] [pdf-annex]
Actes de conférences internationales avec comité de relecture - mathématiques appliquées/calcul scientifique :
33. C. Berthon, G. Moebs & R. Turpault, An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes, Finite Volumes for Complex Applications VII (2014) pp 107-115,
34. C. Berthon & R. Turpault, Asymptotic-preserving schemes for unusual long-time asymptotics, Hyperbolic Problems: Theory, Numerics, Applications, Padova (2012),
35. C. Berthon & R. Turpault, Finite Volumes Asymptotic Preserving Schemes for systems of conservation laws with stiff source terms, Finite Volumes for Complex Applications VI, Prague, (2011) pp 107-116,
36. A. Azzouzi, Y. Coudière & R. Turpault, A mathematical model of the ventricular conduction system, International Conference of Numerical Analysis and Applied Mathematics, vol. 1281 (2010) pp 430-406,
37. Y. Coudière, C. Pierre & R. Turpault, A 2D/3D finite volume method used to solve the bidomain equations of electrocardiology. In Algoritmy, Conference on Scientific Computing, Slovakia, (2009),
38. Y. Coudière, C. Pierre & R.Turpault, A DDFV scheme for anisotropic and heterogeneous elliptic equations, application to a bio-mathematics problem: electrocardiogram simulation, Finite volumes for complex applications V. Problems and perspectives, (2008),
39. P. Charrier, B. Dubroca, G. Duffa & R.Turpault, An implicit preconditionned JFNK method for fully coupled radiating flows. Application to superorbital re-entry simulations, Computationnal Fluid Dynamics ISBN 978-3-540-31800-2, (2006).
40. Y. Coudière, C. Pierre & R.Turpault, A finite volume method for the coupled heart-torso bidomain model in electrocardiology, 3rd MIT conference on Computationnal Fluid and Solid Mechanics, (2005),
41. Y. Coudière, C. Pierre & R.Turpault, Stability and convergence of a finite volume method for a reaction-diffusion system of equations in electro-cardiology, Finite Volumes for Complex Applications IV, (2005), 163-172,
42. R.Turpault, A Multigroup M1 Model for Radiation Hydrodynamics and Applications, 23rd internationnal symposium on rarefied gas dynamics proceedings editors A. D. Ketsdever and E. P. Muntz, American Institute of Physics (2004).
43. R.Turpault, Numerical Solution of Radiative Transfer Problems with Finite Volumes, Finite Volumes for Complex Applications III, (2002) pp 695-702,
44. P. Charrier, B. Dubroca, L. Mieussens & R.Turpault, Discrete-velocity models for numerical simulations in transitional regime for rarefied flows and radiative transfer, (2004) IMA 135 pp 85-,
Actes de conférences internationales avec comité de relecture - physique/biologie :
45. G. Duffa, C. Sarazin & R. Turpault, Modelling and numerical issues for the determination of thermal properties of PICA-like materials, 4th International Workshop on Radiation of High Temperature Gases in Atmospheric Entry, Barcelone, (2012),
46. C. Berthon, C. Sarazin & R. Turpault, Numerical approximations of asymptotic regimes, 3rd International Workshop on Radiation of High Temperature Gases in Atmospheric Entry, Lausanne, (2010),
47. G. Laurent, S. Saal, M. Amarouch, L. Faivre, C. Thauvin-Robinet, P. Charron, P. Richard, V. Probst, E. Baron, I. Baro, J. Barc, J. Schott, J. Mérot, R. Turpault, Y. Coudière, G. Loussouam, F. Kyndt & J. Wolf, Nav1.5 voltage-hypersensitivity responsible for multifocal ectopic Purkinje tachycardia, American Heart Association, (2010),
48. P. Charrier, B. Dubroca, G. Duffa & R.Turpault, Implicit method for coupled multigroup radiating flows, AIAA-2004-2637, 34th AIAA Fluid Dynamics Conference and Exhibit, Portland, Oregon, (2004),
49. P. Charrier, B. Dubroca, G. Duffa, M. Frank, A. Klar & R.Turpault, Nonlocal transport modelling and numerical simulation for radiative transfer, 31st European Physical Society Conference on Plasmas Physics, Imperial College, London, GB, (2005),
50. P. Charrier, B. Dubroca, G. Duffa & R.Turpault, Multigroup model for radiating flows during atmospheric hypersonic re-entry, International Workshop on Radiation of High Temperature Gases in Atmospheric Entry, Lisbon, Portugal (2003), pp 103-110,
Autres :
51. M. Chhay, Y. Coudière & R. Turpault, How to compute the extracellular potential in electrocardiology from an extended monodomain model, rapport INRIA RR-7916, (2012)
52. C. Berthon, Y. Coudière & R. Turpault. Simuler, vite et bien. Têtes chercheuses, 15, Actualité et culture des sciences en Pays de la Loire, Automne 2010,
53. Y. Coudière & R. Turpault. MATAPLI, chapter Modèles et Méthodes Mathématiques en Électrocardiologie. SMAI, 2008.
