Nicolas Seguin

72
Documents
Affiliation actuelle
  • Modélisation et simulation numérique adaptatives pour des équations ayant des structures sous-jacentes (ANGUS)

Publications

Publications

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Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy

Saroj Prasad Chhatoi , Didier Henrion , Swann Marx , Nicolas Seguin

Discrete and Continuous Dynamical Systems - Series A, 2025, 45 (11), pp.4139-4159. ⟨10.3934/dcds.2025051⟩

Article dans une revue hal-04828131v3
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Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations

Benjamin Boutin , Pierre Le Barbenchon , Nicolas Seguin

Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2025, ⟨10.5802/afst.1809⟩

Article dans une revue hal-03970775v2
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A three-phase equation of state for shock-induced phase transitions in tin

Corentin Stéphan , Hervé Jourdren , Nicolas Seguin

ESAIM: Proceedings and Surveys, 2025, 78, pp.2-36. ⟨10.1051/proc/202578002⟩

Article dans une revue hal-05254026v2
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A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws

Clément Cardoen , Swann Marx , Anthony Nouy , Nicolas Seguin

Numerische Mathematik, 2024, 156, pp.1289-1324. ⟨10.1007/s00211-024-01428-5⟩

Article dans une revue hal-04218591v3
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On the stability of totally upwind schemes for the hyperbolic initial boundary value problem

Benjamin Boutin , Pierre Le Barbenchon , Nicolas Seguin

IMA Journal of Numerical Analysis, 2023, 44 (2), pp.1211-1241. ⟨10.1093/imanum/drad040⟩

Article dans une revue (article de synthèse) hal-03732720v3
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A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary

Benjamin Boutin , Thi Hoai Thuong Nguyen , Nicolas Seguin

ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (5), pp.1569-1596. ⟨10.1051/m2an/2020010⟩

Article dans une revue hal-02136776v2
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Some mathematical properties of a barotropic multiphase flow model

Khaled Saleh , Nicolas Seguin

ESAIM: Proceedings and Surveys, 2020, 69, pp.70-78. ⟨10.1051/proc/202069070⟩

Article dans une revue hal-01921027v2
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Asymptotic preserving discretisation of a Jin–Xin model with implicit equilibrium manifold on a bounded domain

Nicolas Seguin , Magali Tournus

IMA Journal of Numerical Analysis, 2020, 40 (1), pp.530-562. ⟨10.1093/imanum/dry089⟩

Article dans une revue hal-01819256v1
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Stability of stationary solutions of singular systems of balance laws

Nicolas Seguin

Confluentes Mathematici, 2018, 10 (2), pp.93-112. ⟨10.5802/cml.52⟩

Article dans une revue hal-01587722v1
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Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle

Nina Aguillon , Frédéric Lagoutière , Nicolas Seguin

Mathematics of Computation, 2017, 86, pp.157-196 ⟨10.1090/mcom/3082⟩

Article dans une revue hal-01077311v1
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Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws

Clément Cancès , Hélène Mathis , Nicolas Seguin

SIAM Journal on Numerical Analysis, 2016, 54 (2), pp.1263-1287. ⟨10.1137/15M1029886⟩

Article dans une revue hal-00798287v3
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Dissipative formulation of initial boundary value problems for Friedrichs' systems

Clément Mifsud , Bruno Després , Nicolas Seguin

Communications in Partial Differential Equations, 2016, 41 (1), ⟨10.1080/03605302.2015.1103750⟩

Article dans une revue hal-01074542v1
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Relaxation approximation of Friedrich's systems under convex constraints

Jean-François Babadjian , Clément Mifsud , Nicolas Seguin

Networks and Heterogeneous Media, 2016, 11 (2), pp. 223 - 237. ⟨10.3934/nhm.2016.11.223⟩

Article dans une revue hal-01157484v1
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Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations

Clément Cancès , Frédéric Coquel , Edwige Godlewski , Hélène Mathis , Nicolas Seguin

Communications in Mathematical Sciences, 2016, 14 (1), pp.1-30. ⟨10.4310/CMS.2016.v14.n1.a1⟩

Article dans une revue hal-00852101v1
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Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation

Hélène Mathis , Clément Cancès , Edwige Godlewski , Nicolas Seguin

Journal of Scientific Computing, 2015, 63 (3), pp.820-861. ⟨10.1007/s10915-014-9915-0⟩

Article dans une revue hal-00782637v2
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An energy-consistent depth-averaged Euler system: derivation and properties.

Marie-Odile Bristeau , Anne Mangeney , Jacques Sainte-Marie , Nicolas Seguin

Discrete and Continuous Dynamical Systems - Series B, 2015, 20 (4), pp.28

Article dans une revue hal-01011691v2
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Two properties of two-velocity two-pressure models for two-phase flows

Frédéric Coquel , Jean-Marc Hérard , Khaled Saleh , Nicolas Seguin

Communications in Mathematical Sciences, 2014, 12 (3)

Article dans une revue hal-00788902v2
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A simple derivation of BV bounds for inhomogeneous relaxation systems

Benoît Perthame , Nicolas Seguin , Magali Tournus

Communications in Mathematical Sciences, 2014, 13 (2), pp.577-586

Article dans une revue hal-00974269v1
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A Robust Entropy-Satisfying Finite Volume Scheme for the Isentropic Baer-Nunziato Model

Frédéric Coquel , Jean-Marc Hérard , Khaled Saleh , Nicolas Seguin

ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (1), pp.165-206. ⟨10.1051/m2an/2013101⟩

Article dans une revue hal-00795568v2
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A Robust and Entropy-Satisfying Numerical Scheme for Fluid Flows in Discontinuous Nozzles

Frédéric Coquel , Khaled Saleh , Nicolas Seguin

Mathematical Models and Methods in Applied Sciences, 2014, 24 (10), pp.2043-2083. ⟨10.1142/S0218202514500158⟩

Article dans une revue hal-00795446v2
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Well-posedness for a one-dimensional fluid-particle interaction model

Boris Andreianov , Frédéric Lagoutière , Nicolas Seguin , Takéo Takahashi

SIAM Journal on Mathematical Analysis, 2014, 46 (2), ⟨10.1137/130907963⟩

Article dans une revue hal-00789315v1

A model of calcium transport along the rat nephron

Magali Tournus , Nicolas Seguin , Benoît Perthame , S. Randal Thomas , Aurélie Edwards

American Journal of Physiology, 2013, 305, pp.F979-F994. ⟨10.1152/ajprenal.00696.2012⟩

Article dans une revue hal-00871608v1
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General constrained conservation laws. Application to pedestrian flow modeling.

Christophe Chalons , Paola Goatin , Nicolas Seguin

Networks and Heterogeneous Media, 2013, 8 (2), pp.433-463

Article dans une revue hal-00713609v1
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MODELLING COMPRESSIBLE MULTIPHASE FLOWS

Frédéric Coquel , Thierry Gallouët , Philippe Helluy , Jean-Marc Hérard , Olivier Hurisse et al.

ESAIM: Proceedings, 2013, 40, pp.34-50. ⟨10.1051/proc/201340003⟩

Article dans une revue hal-01265215v1
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OSAMOAL: optimized simulations by adapted models using asymptotic limits

Anne-Céline Boulanger , Clément Cancès , Hélène Mathis , Khaled Saleh , Nicolas Seguin

ESAIM: Proceedings and Surveys, 2012, 38, pp.183-201. ⟨10.1051/proc/201238010⟩

Article dans une revue hal-00733865v1
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Relaxation of fluid systems

Frédéric Coquel , Edwige Godlewski , Nicolas Seguin

Mathematical Models and Methods in Applied Sciences, 2012, 22 (8), pp.52. ⟨10.1142/S0218202512500145⟩

Article dans une revue hal-00776822v1
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Analysis of a simplified model of the urine concentration mechanism

Magali Tournus , Aurélie Edwards , Nicolas Seguin , Benoît Perthame

Networks and Heterogeneous Media, 2012, 7 (4), pp.989-1018. ⟨10.3934/nhm.2012.7.989⟩

Article dans une revue hal-00605109v2
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Error estimate for Godunov approximation of locally constrained conservation laws

Clément Cancès , Nicolas Seguin

SIAM Journal on Numerical Analysis, 2012, 50 (6), pp.3036--3060. ⟨10.1137/110836912⟩

Article dans une revue hal-00599581v2
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A finite-volume scheme for a kidney nephron model

Aurélie Edwards , Nicolas Seguin , Magali Tournus

ESAIM: Proceedings, 2012, 35, pp.287-292. ⟨10.1051/proc/201235029⟩

Article dans une revue hal-00640061v2
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Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes [Well-posedness of a singular balance law]

Boris Andreianov , Nicolas Seguin

Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (6), pp. 1939-1964. ⟨10.3934/dcds.2012.32.1939⟩

Article dans une revue hal-00576959v1
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Finite volume schemes for constrained conservation laws

Paola Goatin , Nicolas Seguin , Boris Andreianov

Numerische Mathematik, 2010, 115 (4), pp.609-645

Article dans une revue inria-00534872v1
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Finite volume schemes for locally constrained conservation laws

Boris Andreianov , Paola Goatin , Nicolas Seguin

Numerische Mathematik, 2010, 115 (4), pp. 609-645. ⟨10.1007/s00211-009-0286-7⟩

Article dans une revue hal-00387806v1

Small solids in an inviscid fluid

Boris Andreianov , Frédéric Lagoutière , Nicolas Seguin , Takéo Takahashi

Networks and Heterogeneous Media, 2010, 5 (3), pp.385-404. ⟨10.3934/nhm.2010.5.385⟩

Article dans une revue hal-00590617v1

A simple 1D model of inviscid fluid-solid interaction

Frédéric Lagoutière , Nicolas Seguin , Takéo Takahashi

Journal of Differential Equations, 2008, 245 (11), pp.3503-3544. ⟨10.1016/j.jde.2008.03.011⟩

Article dans une revue istex hal-00590649v1

Evaluation of well-balanced bore-capturing schemes for 2D wetting and drying process

Fabien Marche , Philippe Bonneton , Pierre Fabrie , Nicolas Seguin

International Journal for Numerical Methods in Fluids, 2007, 53 (5), pp.867-894. ⟨10.1002/fld.1311⟩

Article dans une revue istex hal-00383513v1

Evaluation of well-balanced bore-capturing schemes for 2D wetting and drying processes.

P. Bonneton , Pierre Fabrie , F. Marche , Nicolas Seguin

International Journal for Numerical Methods in Fluids, 2007, 53 (5), pp.867-894

Article dans une revue hal-00295018v1
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The coupling of homogeneous models for two-phase flows

Annalisa Ambroso , Christophe Chalons , Frédéric Coquel , Edwige Godlewski , Frédéric Lagoutière et al.

International Journal on Finite Volumes, 2007, 4, pp.1--39

Article dans une revue hal-01117451v1
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Relaxation models of phase transition flows

Philippe Helluy , Nicolas Seguin

ESAIM: Mathematical Modelling and Numerical Analysis, 2006, 40 (2), pp.331-352

Article dans une revue hal-00139607v1

The Riemann problem for a simple model of phase transition.

Edwige Godlewski , Nicolas Seguin

Communications in Mathematical Sciences, 2006, 4, pp.227-247

Article dans une revue hal-00113098v1

Numerical simulations of wave breaking

Nicolas Seguin , P. Helluy , Frederic Golay , J.P. Caltagirone , P. Lubin et al.

ESAIM: Mathematical Modelling and Numerical Analysis, 2005, 39-3, pp.591-607

Article dans une revue hal-00017441v1
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Numerical simulation of wave breaking

Philippe Helluy , Frederic Golay , Jean-Paul Caltagirone , Pierre Lubin , Stephane P. Vincent et al.

ESAIM: Mathematical Modelling and Numerical Analysis, 2005, 39 (3), pp.591-607

Article dans une revue hal-00139601v1

A well-balanced numerical scheme for the approximation of the shallow-water equations with topography: the resonance phenomenon

Nicolas Seguin , A. Chinnayya , A.-Y. Leroux

International Journal on Finite Volumes, 2004, 1, pp.1-33

Article dans une revue hal-00017378v1
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Numerical modeling of two-phase flows using the two-fluid two-pressure approach

Thierry Gallouët , Jean-Marc Herard , Nicolas Seguin

Mathematical Models and Methods in Applied Sciences, 2004, 14, pp.663-700

Article dans une revue hal-00003327v1
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Some approximate Godunov schemes to compute shallow-water equations with topography

Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

Computers and Fluids, 2003, 32 (4), pp.479-513. ⟨10.1016/S0045-7930(02)00011-7⟩

Article dans une revue hal-01290889v1
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On the use of symmetrizing variables for vacuums

Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

Calcolo, 2003, 40, pp.163-194. ⟨10.1007/s10092-003-0075-0⟩

Article dans une revue istex hal-04489595v1
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Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients

Nicolas Seguin , Julien Vovelle

Mathematical Models and Methods in Applied Sciences, 2003, 13 (2), pp.221-257. ⟨10.1142/S0218202503002477⟩

Article dans une revue hal-01376535v1
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On the use of symmetrizing variables for vacuum

Thierry Gallouët , Jean-Marc Herard , Nicolas Seguin

Calcolo, 2003, vol 40, no 3, pp 163-194

Article dans une revue hal-00003439v1
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A HYBRID SCHEME TO COMPUTE CONTACT DISCONTINUITIES IN ONE-DIMENSIONAL EULER SYSTEMS

Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

ESAIM: Mathematical Modelling and Numerical Analysis, 2002, 36, pp.1133-1159. ⟨10.1051/m2an:2003009⟩

Article dans une revue hal-01291260v1
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Closure laws for a two-fluid two-pressure model

Frédéric Coquel , Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

Comptes Rendus. Mathématique, 2002, 334 (10), pp.927-932. ⟨10.1016/S1631-073X(02)02366-X⟩

Article dans une revue hal-01484345v1
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Some recent Finite Volume schemes to compute Euler equations using real gas EOS

Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

International Journal for Numerical Methods in Fluids, 2002, 39, pp.1073-1138. ⟨10.1002/fld.346⟩

Article dans une revue hal-01290885v1
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Hybrid schemes to compute contact discontinuities in Euler equations with any EOS

Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

Comptes Rendus. Mécanique, 2002, 330 (6), pp.445-450. ⟨10.1016/S1631-0721(02)01482-1⟩

Article dans une revue hal-01484349v1
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A class of two-fluid two-phase flow models

Frédéric Coquel , Jean-Marc Hérard , Khaled Saleh , Nicolas Seguin

42nd AIAA Fluid Dynamics Conference and Exhibit, Jun 2012, New Orleans, United States. ⟨10.2514/6.2012-3356⟩

Communication dans un congrès hal-01582645v1
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Upwind Finite Volume Schemes for One and Two Dimensional Euler Equations

Thierry Gallouët , Jean-Marc Hérard , Raphaèle Herbin , Jullian Nicolas , Nicolas Seguin

16th AIAA Computational Fluid Dynamics Conference, Jun 2003, Orlando, United States. ⟨10.2514/6.2003-4122⟩

Communication dans un congrès hal-01583877v1

Partial Review of Positivity Constraints in Some Two Phase Flow Models

Sébastien Clerc , Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

32nd AIAA Fluid Dynamics Conference, Jun 2002, Saint Louis, United States. ⟨10.2514/6.2002-3185⟩

Communication dans un congrès hal-01583902v1

An alternative way to deal with two-fluid models

Thierry Gallouet , Jean-Marc Hérard , Nicolas Seguin

15th AIAA Computational Fluid Dynamics Conference, Jun 2001, Anaheim, United States. ⟨10.2514/6.2001-2653⟩

Communication dans un congrès hal-05436451v1

On the use of symmetrizing variables to deal with vacuum

Thierry Gallouet , Jean-Marc Hérard , Nicolas Seguin

15th AIAA Computational Fluid Dynamics Conference, Jun 2001, Anaheim, France. ⟨10.2514/6.2001-2670⟩

Communication dans un congrès hal-05436434v1
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Étude d'équations aux dérivées partielles hyperboliques en mécanique des fluides

Nicolas Seguin

Equations aux dérivées partielles [math.AP]. Université Pierre et Marie Curie - Paris VI, 2011

HDR tel-00667830v1

True rate of convergence of some upwinding finite volume schemes for Euler equations

Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

Raphaele Herbin - Dietmar Kroner. FVCA III, Hermès Penton Science, pp.745-752, 2002, Finite Volumes for complex applications III - Problems and perspectives

Chapitre d'ouvrage hal-01581183v1

Approximation by Finite Volume schemes of a two-fluid two-pressure model for two-phase flow

Thierry Gallouët , Jean-Marc Hérard , Nicolas Seguin

Raphaele Herbin - Dietmar Kroner. FVCA III, Hermès Penton Science, pp.559-566, 2002, Finite Volumes for complex applications III - Problems and perspectives

Chapitre d'ouvrage hal-01581191v1
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Modélisation et simulation numérique des écoulements diphasiques

Nicolas Seguin

Mathematics [math]. Université de Provence - Aix-Marseille I, 2002. English. ⟨NNT : ⟩

Thèse tel-00003139v1