Benjamin Boutin

Maître de Conférences HDR à l'Université de Rennes

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Institut de Recherche Mathématique de Rennes (IRMAR)

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Publications

A stiffly stable semi-discrete scheme for the damped wave equation on the half-line using SBP and SAT techniques

Thi Hoai Thuong Nguyen , Benjamin Boutin

ESAIM: Mathematical Modelling and Numerical Analysis, 2025, 59 (5), pp.2557-2581. ⟨10.1051/m2an/2025069⟩

Article dans une revue hal-04794205v2

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

Uniformly higher order accurate schemes for dynamics of charged particles under fast oscillating magnetic fields

Megala Anandan , Benjamin Boutin , Nicolas Crouseilles

IMA Journal of Numerical Analysis, 2025, 048, pp.1-26

Article dans une revue hal-04773938v1

High order asymptotic preserving scheme for diffusive scaled linear kinetic equations with general initial conditions

Megala Anandan , Benjamin Boutin , Nicolas Crouseilles

ESAIM: Mathematical Modelling and Numerical Analysis, 2024, 58 (3), pp.1107-1135. ⟨10.1051/m2an/2024028⟩

Article dans une revue hal-04626594v1

High order asymptotic preserving scheme for linear kinetic equations with diffusive scaling

Megala Anandan , Benjamin Boutin , Nicolas Crouseilles

ESAIM: Mathematical Modelling and Numerical Analysis, 2024, 58 (3), pp.1107-1135

Article dans une revue hal-04103000v1

Modified Lawson methods for Vlasov equations

Benjamin Boutin , Anaïs Crestetto , Nicolas Crouseilles , Josselin Massot

SIAM Journal on Scientific Computing, 2024, 46 (3), pp.A1574-A1598. ⟨10.1137/22M154301X⟩

Article dans une revue hal-03911409v1

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

High order numerical schemes for transport equations on bounded domains

Benjamin Boutin , T.H.T. Nguyen , Abraham Sylla , Sébastien Tran-Tien , Jean-François Coulombel

ESAIM: Proceedings and Surveys, 2021, 70, pp.84-106. ⟨10.1051/proc/202107006⟩

Article dans une revue hal-02395068v1

Coupling techniques for nonlinear hyperbolic equations. II. Resonant interfaces with internal structure

Benjamin Boutin , Frédéric Coquel , Philippe G. Lefloch

Networks and Heterogeneous Media, 2021, 16 (2), pp.283-315. ⟨10.3934/nhm.2021007⟩

Article dans une revue hal-02962629v1

The basal level of gene expression associated with chromatin loosening shapes Waddington landscapes and controls cell differentiation

Gilles Flouriot , Charly Jehanno , Yann Le Page , Pascale Le Goff , Benjamin Boutin et al.

Journal of Molecular Biology, 2020, 432 (7), pp.2253-2270. ⟨10.1016/j.jmb.2020.02.016⟩

Article dans une revue hal-02109253v1

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

Stability of finite difference schemes for hyperbolic initial boundary value problems: numerical boundary layers

Benjamin Boutin , Jean-François Coulombel

Numerical Mathematics: Theory, Methods and Applications, 2017, 10 (3), pp.489-519. ⟨10.4208/nmtma.2017.m1525⟩

Article dans une revue hal-01114666v2

Some remarks about flows of Hilbert-Schmidt operators

Benjamin Boutin , Nicolas Raymond

Journal of Evolution Equations, 2017, 17 (2), pp.805-826. ⟨10.1007/s00028-016-0337-3⟩

Article dans une revue hal-01232530v2

The accuracy of biochemical interactions is ensured by endothermic stepwise kinetics

Denis Michel , Benjamin Boutin , Philippe Ruelle

Progress in Biophysics and Molecular Biology, 2016, 121 (1), pp.35-44. ⟨10.1016/j.pbiomolbio.2016.02.001⟩

Article dans une revue hal-01274234v1

Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi-component laws

Benjamin Boutin , Frédéric Coquel , Philippe G. LeFloch

Mathematics of Computation, 2015, 84 (294), pp.1663-1702. ⟨10.1090/S0025-5718-2015-02933-0⟩

Article dans une revue hal-00703885v1

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

Coupling techniques for nonlinear hyperbolic equations. III. Well-balanced approximation of thick interfaces

Benjamin Boutin , Frédéric Coquel , Philippe G. LeFloch

SIAM Journal on Numerical Analysis, 2013, 51 (2), pp.1108-1133. ⟨10.1137/120865768⟩

Article dans une revue hal-00697431v1

A second order anti-diffusive Lagrange-remap scheme for two-component flows

Marie Billaud Friess , Benjamin Boutin , Filipa Caetano , Gloria Faccanoni , Samuel Kokh et al.

ESAIM: Proceedings, 2011, 32, pp.149-162. ⟨10.1051/proc/2011018⟩

Article dans une revue hal-00708605v1

Extension of ALE methodology to unstructured conical meshes

Benjamin Boutin , Erwan Deriaz , Philippe Hoch , Pierre Navaro

ESAIM: Proceedings, 2011, 32, pp.32-55. ⟨10.1051/proc/2011011⟩

Article dans une revue hal-00777271v1

Coupling techniques for nonlinear hyperbolic equations. I. Self-similar diffusion for thin interfaces

Benjamin Boutin , Frédéric Coquel , Philippe G. LeFloch

Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2011, 141, pp.921-956. ⟨10.1017/S0308210510001459⟩

Article dans une revue hal-00564176v1

Existence result for the coupling problem of two scalar conservation laws with Riemann initial data

Benjamin Boutin , Christophe Chalons , Pierre-Arnaud Raviart

Mathematical Models and Methods in Applied Sciences, 2010, 20 (10), pp.1859--1898. ⟨10.1142/S0218202510004817⟩

Article dans une revue hal-00871839v1

Fluid-particles flows: a thin spray model with energy exchanges

Laurent Boudin , Benjamin Boutin , Bruno Fornet , Thierry Goudon , Pauline Lafitte et al.

ESAIM: Proceedings, 2009, CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, 28, pp.195-210. ⟨10.1051/proc/2009047⟩

Article dans une revue inria-00543156v1

Convergent and conservative schemes for nonclassical solutions based on kinetic relations

Benjamin Boutin , Christophe Chalons , Frédéric Lagoutière , Philippe G. LeFloch

Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2008, 10 (3), pp.399--421. ⟨10.4171/IFB/195⟩

Article dans une revue hal-00457583v1

Diagonalisation asymptotique d'opérateurs de Hilbert-Schmidt

Benjamin Boutin , Nicolas Raymond

43e Congrès National d'Analyse Numérique (CANUM 2016), May 2016, Obernai, France

Poster de conférence hal-01310908v1

A stiffly stable fully discrete scheme for the damped wave equation using discrete transparent boundary condition

Benjamin Boutin , Thi Hoai Thuong Nguyen , Nicolas Seguin

2020

Pré-publication, Document de travail hal-02566911v1

Étude mathématique et numérique d'équations hyperboliques non-linéaires : couplage de modèles et chocs non classiques.

Benjamin Boutin

Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2009. Français. ⟨NNT : ⟩

Thèse tel-00437289v2

Finite difference methods for hyperbolic problems with boundaries: stability and multiscale analysis

Benjamin Boutin

Numerical Analysis [math.NA]. Université de Rennes, 2023

HDR tel-04157587v1

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