, On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation, J. Comput. Phys, vol.114, issue.1, pp.45-58, 1994.
, AHO schemes for dissipative hyperbolic systems, CANUM 2006?Congrès National d'Analyse Numérique, pp.52-66, 2008.
, Asymptotic high-order schemes for 2 × 2 dissipative hyperbolic systems, SIAM J. Numer. Anal, vol.46, issue.2, pp.869-894, 2008.
, Time asymptotic high order schemes for dissipative BGK hyperbolic systems, Numerische Mathematik, vol.14, issue.8, pp.399-431
DOI : 10.1007/s00211-015-0720-y
URL : https://hal.archives-ouvertes.fr/hal-00959508
, A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows, SIAM Journal on Scientific Computing, vol.25, issue.6, pp.2050-2065, 2004.
DOI : 10.1137/S1064827503431090
, Generalized Riemann problems in computational fluid dynamics, ser, Cambridge Monographs on Applied and Computational Mathematics, vol.11, pp.349-63, 2003.
, Robustness of MUSCL schemes for 2D unstructured meshes, J. Comput. Phys, vol.218, issue.2, pp.495-509, 2006.
, Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation terms, Numerical Methods for Partial Differential Equations, vol.25, issue.4, pp.1149-1172
DOI : 10.1002/num.21749
URL : https://hal.archives-ouvertes.fr/hal-00909103
, An HLLC Scheme to Solve The M 1 Model of Radiative Transfer in Two Space Dimensions, Journal of Scientific Computing, vol.94, issue.3???4, pp.347-389, 2007.
DOI : 10.1007/s10915-006-9108-6
URL : https://hal.archives-ouvertes.fr/hal-00293559
, An entropy preserving MOOD scheme for the Euler equations, Int. J. Finite, vol.11, pp.39-2014
URL : https://hal.archives-ouvertes.fr/hal-01115334
, Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations, Mathematics of Computation, vol.82, issue.282, pp.831-860
DOI : 10.1090/S0025-5718-2012-02666-4
, An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes, Communications in Applied Mathematics and Computational Science, vol.11, issue.1, pp.55-77
DOI : 10.2140/camcos.2016.11.55
URL : https://hal.archives-ouvertes.fr/hal-01255899
, An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes, in Finite volumes for complex applications. VII. Methods and theoretical aspects, ser, Math. Stat, vol.77, issue.117, pp.107-115, 2014.
, Asymptotic preserving HLL schemes, Numerical Methods for Partial Differential Equations, vol.94, issue.6, pp.1396-1422, 2011.
DOI : 10.1002/num.20586
, Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy, Communications on Pure and Applied Mathematics, vol.150, issue.11, pp.1559-1622, 2007.
DOI : 10.1002/cpa.20195
URL : https://hal.archives-ouvertes.fr/hal-00281551
, Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit, SIAM Journal on Scientific Computing, vol.35, issue.1, pp.22-51
DOI : 10.1137/110842855
, Direct Arbitrary-Lagrangian???Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws, Journal of Computational Physics, vol.292, pp.56-87
DOI : 10.1016/j.jcp.2015.03.015
, Upwinding of the source term at interfaces for Euler equations with high friction, Computers & Mathematics with Applications, vol.53, issue.3-4, pp.361-375, 2007.
DOI : 10.1016/j.camwa.2006.02.055
, Experimental Observation of a Radiative Wave Generated in Xenon by a Laser-Driven Supercritical Shock, Physical Review Letters, vol.57, issue.11, pp.1304-1307
DOI : 10.1103/PhysRevLett.57.1304
, A cell-centered diffusion scheme on two-dimensional unstructured meshes, Journal of Computational Physics, vol.224, issue.2, pp.785-823, 2007.
DOI : 10.1016/j.jcp.2006.10.025
, An asymptotic preserving scheme for hydrodynamics radiative transfer models, Numerische Mathematik, vol.325, issue.2, pp.199-221, 2007.
DOI : 10.1007/s00211-007-0094-x
, Asymptotic preserving and positive schemes for radiation hydrodynamics, Journal of Computational Physics, vol.215, issue.2, pp.717-740, 2006.
DOI : 10.1016/j.jcp.2005.11.011
, An asymptotic preserving scheme with the maximum principle for the M 1 model on distorded meshes, C
, Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes, Numer. Math, vol.122, issue.2, pp.227-278
, Asymptotic Preserving Schemes on Distorted Meshes for Friedrichs Systems with Stiff Relaxation: Application to Angular Models in Linear Transport, Journal of Scientific Computing, vol.9, issue.1, pp.371-398
DOI : 10.1007/s10915-014-9859-4
, Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes, Mathematics of Computation, vol.86, issue.305, pp.16-49, 2016.
DOI : 10.1090/mcom/3131
URL : https://hal.archives-ouvertes.fr/hal-00956573
, Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations, Numerische Mathematik, vol.227, issue.12, pp.387-417
DOI : 10.1007/s00211-013-0545-5
, Chapter 29 -Measurements of radiation from the flow fields of bodies flying at speeds up to 13.4 kilometers per second, in The High Temperature Aspects of Hypersonic Flow, pp.569-582, 1964.
, Problèmes mathématiques dans la théorie cinétique des gaz, ser, Publ. Sci. Inst. Mittag-Leffler, vol.2, pp.112-139, 1957.
, GODUNOV-TYPE SCHEMES FOR HYPERBOLIC SYSTEMS WITH PARAMETER-DEPENDENT SOURCE: THE CASE OF EULER SYSTEM WITH FRICTION, Mathematical Models and Methods in Applied Sciences, vol.20, issue.11, pp.2109-2166, 2010.
DOI : 10.1142/S021820251000488X
URL : https://hal.archives-ouvertes.fr/hal-00401616
, Large Time Step and Asymptotic Preserving Numerical Schemes for the Gas Dynamics Equations with Source Terms, SIAM Journal on Scientific Computing, vol.35, issue.6, pp.2874-2902
DOI : 10.1137/130908671
URL : https://hal.archives-ouvertes.fr/hal-00718022
, On the 2-D Riemann problem for the compressible Euler equations. I. Interaction of shocks and rarefaction waves, Discrete Contin, Dynam. Systems, vol.1, issue.4, pp.555-584, 1995.
, On the 2-D Riemann problem for the compressible Euler equations. II. Interaction of contact discontinuities , Discrete Contin, Dynam. Systems, vol.6, issue.2, pp.419-430, 2000.
, Hyperbolic conservation laws with stiff relaxation terms and entropy, Communications on Pure and Applied Mathematics, vol.44, issue.6, pp.787-830, 1994.
DOI : 10.1002/cpa.3160470602
, The Generalized Riemann Problem for First Order Quasilinear Hyperbolic Systems of Conservation Laws II, Acta Applicandae Mathematicae, vol.10, issue.6, pp.235-277, 2009.
DOI : 10.1007/s10440-008-9311-6
, THE GENERALIZED RIEMANN PROBLEM FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS I, Bulletin of the Korean Mathematical Society, vol.46, issue.3
DOI : 10.4134/BKMS.2009.46.3.409
, VisIt, HIGH PERFORMANCE VISUALIZATION?ENABLING EXTREME-SCALE SCIENTIFIC IN- SIGHT, pp.357-372, 2012.
DOI : 10.1201/b12985-21
, A high-order finite volume method for systems of conservation laws???Multi-dimensional Optimal Order Detection (MOOD), Journal of Computational Physics, vol.230, issue.10, pp.4028-4050, 2011.
DOI : 10.1016/j.jcp.2011.02.026
, The MOOD method for the non-conservative shallow-water system, Computers & Fluids, vol.145, pp.43-45, 2014.
DOI : 10.1016/j.compfluid.2016.11.013
URL : https://hal.archives-ouvertes.fr/hal-01077557
, A sixth-order finite volume method for multidomain convection???diffusion problem with discontinuous coefficients, Computer Methods in Applied Mechanics and Engineering, vol.267, issue.59, pp.43-64
DOI : 10.1016/j.cma.2013.08.003
, Asymptotic Preserving Scheme for Euler System with??Large Friction, Journal of Scientific Computing, vol.37, issue.4, pp.164-172
DOI : 10.1007/s10915-011-9459-5
, Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.3, pp.493-516, 1999.
DOI : 10.1051/m2an:1999149
, Shock profiles in radiative hydrodynamics , in Mathematical models and numerical methods for radiative transfer, ser, Panor. Synthèses, vol.28, pp.87-108, 2009.
, Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes, Shock Waves, vol.119, issue.2, pp.181-197
DOI : 10.1007/s00193-012-0368-9
URL : https://hal.archives-ouvertes.fr/hal-00593491
, Reducing the bandwidth of sparse symmetric matrices, Proceedings of the 1969 24th national conference on -, pp.157-172, 1969.
DOI : 10.1145/800195.805928
, Convergence and stability in the numerical integration of ordinary differential equations, Math. Scand, vol.4, pp.33-53, 1956.
, Contribution to the numerical approximation of hyperbolic systems, pp.43-45, 2013.
, High order asymptotic-preserving schemes for the Boltzmann equation, Comptes Rendus Mathematique, vol.350, issue.9-10, pp.481-486
DOI : 10.1016/j.crma.2012.05.010
URL : https://hal.archives-ouvertes.fr/hal-00933518
, La méthode MOOD Multi-dimensional Optimal Order Detection: la première approche a posteriori aux méthodes volumes finis d'ordre très élevé, pp.22-43, 2012.
, Improved detection criteria for the Multi-dimensional Optimal Order Detection (MOOD) on unstructured meshes with very high-order polynomials, Computers & Fluids, vol.64, pp.43-63
DOI : 10.1016/j.compfluid.2012.05.004
URL : https://hal.archives-ouvertes.fr/hal-00637123
, The Multidimensional Optimal Order Detection method in the three-dimensional case: very high-order finite volume method for hyperbolic systems, International Journal for Numerical Methods in Fluids, vol.59, issue.4, pp.362-392
DOI : 10.1002/fld.3804
, A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.6
DOI : 10.1051/m2an:2005047
, Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle, SIAM Journal on Numerical Analysis, vol.49, issue.2, pp.459-490, 2011.
DOI : 10.1137/090770849
URL : https://hal.archives-ouvertes.fr/hal-00808694
, Modélisation, approximation numérique et couplage du transfert radiatif avec l'hydrodynamique, p.15, 2009.
, Theoretical and numerical study of a moment closure hierarchy for the radiative transfer equation, C. R. Acad. Sci
, Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes, Journal of Computational Physics, vol.287, issue.49, pp.184-206
DOI : 10.1016/j.jcp.2015.02.007
URL : https://hal.archives-ouvertes.fr/hal-01302147
, The internal constitution of the stars, pp.407-436, 1960.
, Test problems for radiation and radiation-hydrodynamics codes, APJ, vol.424, pp.275-81, 1994.
, TP or not TP, that is the question, Computational Geosciences, vol.41, issue.4, pp.285-296
DOI : 10.1007/s10596-013-9392-9
URL : https://hal.archives-ouvertes.fr/hal-00801648
, Finite volume methods, in Handbook of numerical analysis, VII, ser. Handb. Numer. Anal., VII, pp.713-1020, 2000.
, Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces, IMA Journal of Numerical Analysis, vol.30, issue.4, pp.1009-1043
DOI : 10.1093/imanum/drn084
, Radiative hydrodynamics & Application to the study of pulsationsconvection interaction, p.15, 2014.
, A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources, Journal of Computational Physics, vol.229, issue.20, pp.7625-7648
DOI : 10.1016/j.jcp.2010.06.017
URL : https://hal.archives-ouvertes.fr/hal-00659668
, Mean value coordinates, Comput. Aided Geom. Design, vol.20, issue.147, pp.19-27, 2003.
, Wachspress and mean value coordinates, in Approximation theory XIV: San Antonio 2013, ser, Math. Stat, vol.83, issue.147, pp.81-102, 2014.
, Design and numerical analysis of asymptotic preserving schemes on unstructured meshes. Application to the linear transport and Friedrichs systems, pp.16-49, 2012.
, ompP: A Profiling Tool for OpenMP, Proceedings of the 2005 and 2006 International Conference on OpenMP Shared Memory Parallel Programming, ser. IWOMP'05/IWOMP'06, pp.15-23, 2008.
DOI : 10.1007/978-3-540-68555-5_2
, The Scalasca performance toolset architecture, Concurrency and Computation: Practice and Experience, vol.16, issue.2-3
DOI : 10.1002/cpe.1556
, Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.69, issue.4
DOI : 10.1002/nme.2579
, A generalized Riemann problem for quasi-one-dimensional gas flows, Advances in Applied Mathematics, vol.5, issue.1, pp.1-30, 1984.
DOI : 10.1016/0196-8858(84)90002-2
, Numerical approximation of hyperbolic systems of conservation laws, ser. Applied Mathematical Sciences, pp.509-534, 1996.
, A Difference Scheme for Numerical Solution of Discontinuous Solution of Hydrodynamic Equations, Russian, MAT. SB., NOV. SER, vol.47, pp.271-306, 1959.
, On diffusion by discontinuous movements, and on the telegraph equation, Quart. J. Mech. Appl. Math, vol.4, pp.129-156, 1951.
, The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem, Nonlinearity, vol.20, issue.4, pp.927-942, 2007.
DOI : 10.1088/0951-7715/20/4/007
URL : https://hal.archives-ouvertes.fr/hal-00133123
, HERACLES: a three-dimensional radiation hydrodynamics code, Astronomy and Astrophysics, vol.464, issue.2, pp.429-435, 2007.
DOI : 10.1051/0004-6361:20065486
, Astrophysical radiative shocks: from modeling to laboratory experiments, Laser and Particle Beams, vol.24, pp.535-540, 2006.
, Contribution to the numerical study of radiation hydrodynamics: from radiative shocks experiments to astrophysical jets, pp.15-81, 2006.
, Computing qualitatively correct approximations of balance laws, ser. SIMAI Springer Series Exponential-fit, well-balanced and asymptotic-preserving, p.48, 2013.
, An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations, Comptes Rendus Mathematique, vol.334, issue.4, pp.337-342, 2002.
DOI : 10.1016/S1631-073X(02)02257-4
, On high order strong stability preserving Runge-Kutta and multi step time discretizations, J. Sci. Comput, vol.25, issue.1-2, pp.105-128, 2005.
, Total variation diminishing Runge-Kutta schemes, Mathematics of Computation of the American Mathematical Society, vol.67, issue.221, pp.73-85, 1998.
DOI : 10.1090/S0025-5718-98-00913-2
, Strong Stability-Preserving High-Order Time Discretization Methods, SIAM Review, vol.43, issue.1, pp.89-112, 2001.
DOI : 10.1137/S003614450036757X
, Gprof: a call graph execution profiler, Proceedings of the 1982 SIGPLAN Symposium on Compiler Construction, ser. SIGPLAN '82, pp.120-126, 1982.
, Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy, Arch. Ration . Mech. Anal, vol.169, issue.2, pp.89-117, 2003.
, High resolution schemes for hyperbolic conservation laws, J
, Uniformly high-order accurate essentially nonoscillatory schemes
, On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, SIAM Review, vol.25, issue.1, pp.35-61, 1983.
DOI : 10.1137/1025002
, Beyond flux-limited diffusion: parallel algorithms for multidimensional radiation hydrodynamics, The Astrophysical Journal Supplement Series, vol.147, issue.1, pp.197-220, 2003.
, Hierarchical Data Format, p.148, 1995.
, A Parallel Visualization Application, Fourth (2012), p.106, 2007.
, A finite volume method for the approximation of diffusion operators on distorted meshes, J. Comput. Phys, vol.160, issue.2, pp.481-499, 2000.
, A frame invariant and maximum principle enforcing second-order extension for cell-centered ALE schemes based on local convex hull preservation, International Journal for Numerical Methods in Fluids, vol.201, issue.297, pp.1043-1063
DOI : 10.1002/fld.3969
, Mean value coordinates for arbitrary planar polygons, ACM Transactions on Graphics, vol.25, issue.4, pp.1424-1441, 2006.
DOI : 10.1145/1183287.1183295
, Monotonicity-Preserving Linear Multistep Methods, SIAM Journal on Numerical Analysis, vol.41, issue.2, pp.605-623, 2003.
DOI : 10.1137/S0036142902406326
, The equations of radiative transfer of energy, Monthly Notices of the Royal Astronomical Society, vol.78, issue.1, pp.28-36, 1917.
, Efficient Implementation of Weighted ENO Schemes, Journal of Computational Physics, vol.126, issue.1, pp.202-228, 1996.
DOI : 10.1006/jcph.1996.0130
, Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations, SIAM Journal on Scientific Computing, vol.21, issue.2, pp.441-454, 1999.
DOI : 10.1137/S1064827598334599
, Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms, Journal of Computational Physics, vol.126, issue.2, pp.449-467, 1996.
DOI : 10.1006/jcph.1996.0149
, The NLopt nonlinear-optimization package (p. 103)
, On the practical importance of the SSP property for Runge-Kutta time integrators for some common Godunov-type schemes, International Journal for Numerical Methods in Fluids, vol.41, issue.3, pp.271-303, 2005.
DOI : 10.1002/fld.837
, An asymptotic preserving numerical scheme for kinetic equations in the low Mach number limit, SIAM J. Numer. Anal, vol.36, issue.5, pp.1507-1527, 1999.
, Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers, Numerical Methods for Partial Differential Equations, vol.160, issue.5, pp.584-608, 2002.
DOI : 10.1002/num.10025
, A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration, SIAM Journal on Numerical Analysis, vol.54, issue.1, pp.1-33
DOI : 10.1137/140966708
, Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit, SIAM Journal on Scientific Computing, vol.34, issue.2, pp.579-602
DOI : 10.1137/100795954
URL : https://hal.archives-ouvertes.fr/hal-00485189
, Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes, SIAM Journal on Scientific Computing, vol.19, issue.2, pp.319-340, 1998.
DOI : 10.1137/S1064827595291819
, A nonlinear finite volume scheme satisfying maximum and minimum principles for diffusion operators, Int. J. Finite, vol.6, issue.103, pp.20-42, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01116968
, Correction non lin??aire et principe du maximum pour la discr??tisation d'op??rateurs de diffusion avec des sch??mas volumes finis centr??s sur les mailles, Comptes Rendus Mathematique, vol.348, issue.11-12, pp.691-695
DOI : 10.1016/j.crma.2010.04.017
, Correction non lin??aire d'ordre 2 et principe du maximum pour la discr??tisation d'op??rateurs de diffusion, Comptes Rendus Mathematique, vol.352, issue.11
DOI : 10.1016/j.crma.2014.08.010
, A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit, SIAM Journal on Scientific Computing, vol.31, issue.1, pp.334-368, 2008.
DOI : 10.1137/07069479X
URL : https://hal.archives-ouvertes.fr/hal-00348594
, Contractivity-preserving implicit linear multistep methods, Math. Comp, vol.56, issue.193, pp.177-199, 1991.
, Finite volume methods for hyperbolic problems, ser. Cambridge Texts in Applied Mathematics, pp.558-594, 2002.
, Moment closure hierarchies for kinetic theories, J. Statist
, Weighted Essentially Non-oscillatory Schemes, Journal of Computational Physics, vol.115, issue.1, pp.200-212, 1994.
DOI : 10.1006/jcph.1994.1187
, Abstract, Communications in Computational Physics, vol.16, issue.03, pp.718-763
DOI : 10.4208/cicp.181113.140314a
, Radiative shock solutions with grey nonequilibrium diffusion, Shock Waves, vol.5, issue.5, pp.129-143, 2008.
DOI : 10.1007/s00193-008-0143-0
, The one-dimensional Darcy's law as the limit of a compressible Euler flow, Journal of Differential Equations, vol.84, issue.1, pp.129-147, 1990.
DOI : 10.1016/0022-0396(90)90130-H
, Analytical and design study for a high-pressure, high-enthalpy constricted arc heater, p.138, 1975.
, A High-Order-Accurate Unstructured Mesh Finite-Volume Scheme for the Advection???Diffusion Equation, Journal of Computational Physics, vol.181, issue.2, pp.729-752, 2002.
DOI : 10.1006/jcph.2002.7159
, Shock-layer radiation of blunt bodies at reentry velocities, ser. NASA technical report, p.138, 1964.
, A Variant of Van Leer's Method for Multidimensional Systems of Conservation Laws, Journal of Computational Physics, vol.112, issue.2, pp.370-381, 1994.
DOI : 10.1006/jcph.1994.1107
, On positivity preserving finite volume schemes for Euler equations, Numerische Mathematik, vol.73, issue.1, pp.119-130, 1996.
DOI : 10.1007/s002110050187
, The equations of radiation hydrodynamics, ser. International series of monographs in natural philosophy, pp.15-31, 1973.
, AUGEM: automatically generate high performance dense linear algebra kernels on x86 CPUs, Proceedings of the International Conference on High Performance Computing , Networking, Storage and Analysis, ser. SC '13, pp.1-2512, 2013.
, NetCDF: an interface for scientific data access, IEEE Computer Graphics and Applications, vol.10, issue.4, pp.76-82, 1990.
DOI : 10.1109/38.56302
, The calculation of the interaction of non-stationary shock waves with barriers, Vy?isl. Mat. i Mat. Fiz, vol.1, issue.87, pp.267-279, 1961.
, Global optimization of explicit strong-stability-preserving Runge-Kutta methods, Math. Comp, vol.75, issue.253, pp.183-207
, High-Order Strong-Stability-Preserving Runge--Kutta Methods with Downwind-Biased Spatial Discretizations, SIAM Journal on Numerical Analysis, vol.42, issue.3
DOI : 10.1137/S0036142902419284
, Computation of Hypersonic Radiating Flowfield over a Blunt Body, Journal of Thermophysics and Heat Transfer, vol.15, issue.1, pp.91-98, 2001.
DOI : 10.2514/2.6583
, Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics, SIAM Journal on Scientific Computing, vol.14, issue.6
DOI : 10.1137/0914082
, Total-Variation-Diminishing Time Discretizations, SIAM Journal on Scientific and Statistical Computing, vol.9, issue.6
DOI : 10.1137/0909073
, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, Lecture Notes in Math, vol.89, pp.325-432, 1998.
DOI : 10.1016/0021-9991(90)90120-P
, Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics, vol.77, issue.2, pp.439-471, 1988.
DOI : 10.1016/0021-9991(88)90177-5
, A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods, SIAM Journal on Numerical Analysis, vol.40, issue.2, pp.469-491
DOI : 10.1137/S0036142901389025
, Non-linear evolution using optimal fourthorder strong-stability-preserving Runge-Kutta methods
, Diffusion by continuous movements, Proceedings of the London Mathematical Society, vol.220, issue.1, pp.196-212, 1922.
, ADER: arbitrary high order Godunov approach, Proceedings of the Fifth International Conference on Spectral and High Order Methods (ICOSAHOM-01), pp.609-618, 2002.
, Riemann solvers and numerical methods for fluid dynamics, xxiv+724, A practical introduction, pp.37-85, 2009.
, Restoration of the contact surface in the HLL-Riemann solver, Shock Waves, vol.54, issue.1, pp.25-34, 1994.
DOI : 10.1007/BF01414629
, A consistent multigroup model for radiative transfer and its underlying mean opacities, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.94, issue.3-4, pp.357-371, 2005.
, Modélisation, approximation numérique et applications du transfert radiatif en déséquilibre spectral couple avec l'hydrodynamique, pp.15-31, 2003.
, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method, Journal of Computational Physics, vol.32, issue.1, pp.101-136, 1979.
DOI : 10.1016/0021-9991(79)90145-1
, Les chocs radiatifs générés par les lasers à haute énergie: une opportunité pour l'astrophysique de laboratoire, p.81, 2006.
, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming Minimizing development and maintenance costs in supporting persistently optimized BLAS, Software: Practice and Experience, Math, vol.35, issue.2, pp.101-121, 2005.
, Automated empirical optimizations of software and the ATLAS project, Parallel Computing, vol.27, issue.1-2, pp.3-35, 2001.
DOI : 10.1016/S0167-8191(00)00087-9
, The numerical simulation of two-dimensional fluid flow with strong shocks, Journal of Computational Physics, vol.54, issue.1, pp.115-173, 1984.
DOI : 10.1016/0021-9991(84)90142-6
, Model-driven Level 3 BLAS Performance Optimization on Loongson 3A Processor, 2012 IEEE 18th International Conference on Parallel and Distributed Systems, pp.684-691, 2012.
DOI : 10.1109/ICPADS.2012.97
, Physics of shock waves and high-temperature hydrodynamic phenomena, pp.15-81, 1966.
, Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems, SIAM Journal on Mathematical Analysis, vol.21, issue.3, pp.593-630, 1990.
DOI : 10.1137/0521032