Papers (Preprints & Published)

  • 1.KAUST: Relative entropy for hyperbolic-parabolic systems and application to the constitutive theory of thermoviscoelasticity Cleopatra Christoforou ∗ , Athanasios E. Tzavaras †‡ Paper
  • 2.UOS: LINEARISATION OF MULTIWELL ENERGIES ROBERTO ALICANDRO, GIANNI DAL MASO, GIULIANO LAZZARONI, AND MARIAPIA PALOMBARO Paper
  • 3.UOS: GLOBAL WELL-POSEDNESS AND TWIST-WAVE SOLUTIONS FOR THE INERTIAL QIAN-SHENG MODEL OF LIQUID CRYSTALS Francesco De Anna1 and Arghir Zarnescu2,3,4 Paper
  • 4.UNICT: Follow-the-leader approximations of macroscopic models for vehicular and pedestrian flows Active Particles, Volume 1, 333-378, 2017 M Di Francesco, S Fagioli, MD Rosini, G Russo Paper
  • 5.UNICT: Deterministic particle approximation of the Hughes model in one space dimension - Kinetic and related models, 10 (1), 215-237 (2017) M. Di Francesco, S. Fagioli, M. D. Rosini, and G. Russo Paper
  • 6.UNICT: A Unified IMEX Runge-Kutta Approach for Hyperbolic Systems with Multiscale Relaxation SIAM Journal on Numerical Analysis 55 (4), 2085-2109, 2017. S Boscarino, L Pareschi, G Russo Paper
  • 7.UNICT: A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries, Communication in Computational Physics, accepted. A Chertock, A Coco, A Kurganov, G Russo Submitted
  • 8.UNICT: Central WENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes, arXiv preprint arXiv:1612.09335, 2016, accepted on SIAM Journal on Scientific Computing M Dumbser, W Boscheri, M Semplice, G Russso Paper
  • 9.UNICT: Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems, arXiv preprint arXiv:1701.04750, 2017, submitted for publication on SIAM Journal of Scientific Computing. S Boscarino, J Qiu, G Russo Paper
  • 10.UNICT: Linearly Implicit All Mach Number Shock Capturing Schemes, Journal of Computational Physics, submitted. Florian Bernard, Angelo Iollo, Giovanni Russo Submitted
  • 11.UNICT: All Mach Number Second Order Semi-Implicit Scheme for the Euler Equations of Gasdynamics arXiv preprint arXiv:1706.00272, submitted to Journal of Scientific Computing S Boscarino, G Russo, L Scandurra Paper
  • 12.UNICT: High order Finite Volume schemes for balance laws with stiff relaxation, submitted to Computers and Fluids. S. Boscarino, G. Russo, M. Semplice Submitted
  • 13.UNICT: Approximate Taylor methods for ODEs, submitted to Computers and Fluids Baeza, S. Boscarino, P. Mulet, G. Russo, D. Zorio Paper
  • 14.UMA: M. Lastra, M. J Castro, C. Ureña; Marc de la Asunción. Efficient multilayer shallow-water simulation system based on GPUs. Submitted to Mathematics and Computers in Simulation. Submitted
  • 15.UMA: E. Gaburro, M. Dumbser. M.J. Castro. Direct Arbitrary-Lagrangian-Eulerian Finite Volume Schemes on moving nonconforming unstructured meshes. Submitted to Computer & Fluids. Submitted
  • 16.UMA: Hiltebrand, S. Mishra, C. Parés. Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Submitted to ESAIM:M2AN. Submitted
  • 17.UMA: C. Escalante, T. Morales de Luna, M.J. Castro. Non-Hydrostatic Pressure Shallow Flows: GPU Implementation Using Finite-Volume and Finite-Difference Scheme. Submitted to Applied Mathematics and Computation. Paper
  • 18.UMA: C. Escalante, E.D. Fernández-Nieto, T. Morales de Luna, G. Narbona-Reina. A two-layer shallow-water model for bedload sediment transport: convergence to Saint-Venant-Exner model. Submitted to ESAIM: Mathematical Modelling and Numerical Analysis. Article Submitted
  • 19.UMA: E. D. Fernández-Nieto, J.M. Gallardo, P. Vigneaux. Efficient numerical schemes for viscoplastic avalanches. Part 2: the 2D case. Accepted in Journal of Computational Physics. Paper
  • 20.UMA: T. Morales de Luna, E.D. Fernández-Nieto, M.J Castro. Derivation of a multilayer approach to model suspended sediment transport: application to hyperpycnal and hypopycnal plumes. Accepted in Communications in Computational Physics, 2017. Paper
  • 21.UMA: M. J. Castro, J. M. Gallardo, A. Marquina, Jacobian-free approximate solvers for hyperbolic systems: Application to relativistic magnetohydrodynamics, Computer Physics Communications 219, 2017, 108-120. Paper
  • 22.UMA: M. de la Asunción, M.J. Castro, Simulation of tsunamis generated by landslides using adaptive mesh refinement on GPU, Journal of Computational Physics 345, 2017, 91-110. Paper
  • 23.UMA: J. Macías, M.J. Castro, S. Ortega, C. Escalante, J.M. González-Vida. Performance Benchmarking of Tsunami-HySEA Model for NTHMP’s Inundation Mapping Activities. Pure and Applied Geophysics 174, 2017, 3147–3183. Paper
  • 24.UMA: M.J. Castro, S. Ortega, C. Parés, Well-balanced methods for the Shallow Water equations in spherical coordinates. Computers and Fluids 157, 2017, 196–207. Paper
  • 25.UMA: A. Beljadid, P.G LeFloch, S. Mishra, C. Parés. Schemes with well-controlled dissipation. Hyperbolic systems in non-conservative form. Comm. Comp. Phys. 21, 2017, 913-946. Paper
  • UMA: S. Jerez, C. Parés. Entropy Stable Schemes for Degenerate Convection-Diffusion Equations. SIAM J. Num. Anal. 55, 2017, 240-264. Paper
  • UMA: Patrick J. Lynett, Kara Gately, Rick Wilson, Luis Montoya, Diego Arcas, BetulAytore, YefeiBai, Jeremy D. Bricker, Manuel J. Castro, Kwok Fai Cheung, C. Gabriel David, GozdeGuneyDogan, Cipriano Escalante, José Manuel González-Vida, Stephan T. Grilli, Troy W. Heitmann, Juan Horrillo, UtkuKânoğlu, RozitaKian, James T. Kirby, Wenwen Li, Jorge Macías, Dmitry J. Nicolsky, Sergio Ortega, Alyssa Pampell-Manis, Yong Sung Park, Volker Roeber, NaeimehSharghivand, Michael Shelby, Fengyan Shi, BabakTehranirad, Elena Tolkova, Hong KieThio, DenizVelioğlu, AhmetCevdetYalçıner, Yoshiki Yamazaki, AndreyZaytsev, Y.J. Zhang, Inter-model analysis of tsunami-induced coastal currents, Ocean Modelling 114, 2017, 14-32. Paper
  • 28.UMA: M. de la Asunción, M.J. Castro, J.M. Mantas, S. Ortega, Numerical simulation of tsunamis generated by landslides on multiple GPUs, Advances in Engineering Software 99, 2016, 59-72. Paper
  • 29.UMA: Jorge Macías, Aurelio Mercado, José M. González-Vida, Sergio Ortega, Manuel J. Castro. Comparison and Computational Performance of Tsunami-HySEA and MOST Models for LANTEX 2013 Scenario: Impact Assessment on Puerto Rico Coasts. Pure and Applied Geophysics 173(12), 2016, 3973—3997. Paper
  • UMA: Carlos Sánchez Linares, Marc de la Asunción, Manuel J. Castro, José Manuel González-Vida, Jorge Macías, Siddhartha Mishra. Uncertainty quantification in tsunami modeling using multi-level Monte Carlo finite volume method. Journal of Mathematics in Industry 6, 2016, 1-26. Paper
  • 31.UMA: Irene Molinari, Roberto Tonini, Stefano Lorito, AlessioPiatanesi, Fabrizio Romano, DanieleMelini, Andreas Hoechner, Jose M González-Vida, Jorge Macías, Manuel J Castro, Marc de la Asunción. Fast evaluation of tsunami scenarios: uncertainty assessment for a Mediterranean Sea database. Natural Hazards and Earth System Sciences 16, 2016, 2593–2602. Paper
  • 32.UMA: F. Bouchut, E.D. Fernandez-Nieto, E. H. Kone, A. Mangeney, G. Narbona-Reina. A two-phase solid-fluid model for dense granular flows including dilatancy effects: comparison with submarine granular collapse experiments, POWDER and GRAINS 2017, A.A. Balkema Publishers, EPJ Web of Conferences, 140, 09039, 2017. Paper
  • 33.UMA: F. Bouchut, E. D. Fernández-Nieto, A. Mangeney, G. Narbonar-Reina. A two-phase two-layer model for fluidized granular flows with dilatancy effects. Journal of Fluid Mechanics, V. 801, 166-221, 2016. Paper
  • 34.UMA: M.J. Castro, T. Morales de Luna, C. Parés, Well-Balanced Schemes and Path-Conservative Numerical Methods, Handbook of Numerical Analysis, Volume 18, 2017, Pages 131-175, ISSN 1570-8659. Paper
  • 35.UMA: M. Brunet, M. Moretti, A. Le Friand, A. Mangeney, E.D. Fernández-Nieto, F. Bouchut. Numerical simulation of the 30-45 ka debris avalanche flow of Montagne Pelée volcano, Martinique: from volcano flank-collapse to submarine emplacement comparison between measurements and numerical modelling. Natural Hazards, V. 87, 1189-1222, 2017. Paper
  • 36.UNIVAQ: D. Donatelli and E. Feireisl , An anelastic approximation arising in astro- physics, Math. Ann., Online First DOI:10.1007/s00208-016-1507-x, (2016). Paper available at arxiv.org/abs/1604.05860 Paper
  • 37.UNIVAQ: D. Donatelli and P. Marcati, Low Mach number limit for the Quantum-Hydrodynamics system, Research in the Mathematical Sciences, 3, (2016), 3-13 Paper
  • 38.UNIVAQ: M. Ersoy, O. Lakkis, and P. Townsend. A Saint-Venant shallow water model for overland flows with precipitation and recharge, 2017. Paper
  • 39.UNIVAQ: K. Koumatos and S. Spirito, Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions. Paper
  • 40.UPMC: Y. Bakhtin and P.G. LeFloch, Ergodicity of spherically symmetric fluid flows outside of a Schwarzschild black hole with random boundary forcing, Paper
  • 41.UPMC: S. Dong and P.G. LeFloch, A finite volume scheme for hyperbolic conservation laws on a Schwarzschild black hole geometry, in preparation.
  • 42.UPMC: Chalons C., Duvigneau R., Fiorini C. Sensitivity analysis and numerical di↵usion e↵ects for hyperbolic PDE systems with discontinuous solutions. The case of barotropic Euler equations in Lagrangian coordinates, Paper
  • 43.UPMC: Bachmayr, Markus; Cohen, Albert; Dng, Dinh; Schwab, Christoph; Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs. SIAM J. Numer. Anal. 55 (2017), no. 5, 21512186. Paper
  • 44.UPMC: A. Beljadid, P.G. LeFloch, S. Mishra, and C. Pares, Schemes with wellcontrolled dissipation. Hyperbolic systems in nonconservative form, Commun. in Comput. Phys. 21 (2017), 913–946. Paper
  • 45.UPMC: A. Beljadid, P.G. LeFloch, and M. Mohamadian, A second-order geometry-preserving finite volume method for conservation laws on the sphere, Paper
  • 46.UPMC: Christophe Berthon, Benjamin Boutin, Rodolphe Turpault. Shock profiles for the Shallow- water Exner models. Advances in Applied Mechanics, New York, London, Paris : Academic Press, 2015, 7 (3), pp.267-294. Paper
  • 47.UPMC: P.G. LeFloch and S. Xiang, Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. The relativistic Burgers equation, J. Math. Pure Appl. (2018). Paper
  • 48.UPMC: B. Boutin, F. Coquel, and P.G. LeFloch, Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multidimensional and multi-component laws, Math. Comp. 84 (2015), 1663–1702. Paper
  • 49.UPMC: S. Dong and P.G. LeFloch, The infinite mass problem for nonlinear wave-Klein-Gordon systems, in preparation.
  • 50.UPMC: B. Boutin, F. Coquel, and P.G. LeFloch, Coupling techniques for nonlinear hyperbolic equations, in preparation.
  • 51.UPMC: Chalons C., Goatin P., Delle Monache M.-L. A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem, to appear in Interfaces and Free Boundaries, available on https://hal.inria.fr/hal-01070262 Paper
  • 52.UPMC: Villa S., Goatin P., Chalons C. Moving bottlenecks for the Aw-RascleZhang trac flow model, Discrete and Continuous Dynamical System - B, Vol. 22(10), pp. 3921-3952 (2017) Paper
  • 53.UPMC: Betancourt F., Brger R., Chalons C., Diehl S., Faras S. A random sampling approach for a family of Temple-class systems of conservation laws, to appear in Numerische Mathematik Paper
  • 54.UPMC: Ndjinga M., Nguyen K., Chalons C. A 2x2 hyperbolic system modelling incompressible two-phase flows - theory and numerics, to appear in Nonlinear Di↵erential Equations and Applications (NDEA) Paper
  • 55.UPMC: Chalons C., Rohde C., Wiebe M. A finite volume method for undercompressive shock waves in two space dimensions, to appear in Mathematical Modelling and Numerical Analysis (M2AN) Paper
  • 56.UPMC: Chalons C., Coquel F. A new comment on the computation of non conservative products using Roe-type path conservative scheme Journal of Computational Physics (JCP), Vol. 335, pp. 592-604 (2017) Paper
  • 57.UPMC: Aguillon N., Chalons C. Non di↵usive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics Mathematical Modelling and Numerical Analysis (M2AN), Vol. 50, No. 6, pp. 1887-1916 (2016) Paper
  • 58.UPMC: Burger R., Chalons C., Villada L.-M. Anti-di↵usive lagrangian-remap schemes for models of polydisperse sedimentation Numerical Methods for Partial Di↵erential Equations (NMPDE), vol. 32, pp 1109-1136 (2016) Paper
  • 59.UPMC: Berthon C., Chalons C. A full well-balanced, positive and entropysatisfying Godunov-type method for the shallow-water equations Math. of Comp., vol 85, pp 1281-1307 (2016) Paper
  • 60.UPMC: Q. Du, Z. Huang, and P.G. LeFloch, Nonlocal conservation laws. A new class of monotonicity-preserving models, SIAM Num. Anal. (SINUM), 2017. Paper
  • 61.UPMC: Chalons C., Turpault R. High-order asymptotic-preserving schemes for linear systems. Application to the Goldstein-Taylor equations, in preparation.
  • 62.UPMC: Chalons C., Guisset S. An anti-di↵usive HLL scheme for the electronic M1 model in the di↵usion limit, preprint Paper
  • 63.UPMC: Chalons C., Goatin P., Villada L.-M., High-order numerical schemes for one-dimension non-local conservation laws, to appear in SIAM J. Sci. Comput. Paper
  • 64.UPMC: Chalons C., Fox R. O., Laurent F., Massot M. and Vi A. Multivariate gaussian extended quadrature method of moments for turbulent disperse multiphase flow, to appear in SIAM J. Multiscale Model. and Simul. Paper
  • 65.UPMC: Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw Data assimilation in reduced modeling. SIAM/ASA J. Uncertain. Quantif. 5 (2017), no. 1, 129. Paper
  • 66.UPMC: Chalons C., Kestener P., Kokh S., Stau↵ert M. A large time-step and well-balanced Lagrange-Projection type scheme for the shallow-water equations Communications in Mathematical Sciences (CMS), Vol. 15, No. 3, pp. 765-788 (2017) Paper
  • 67.UPMC: Chalons C., Girardin M., S. Kokh. An all-regime Lagrange-Projection like scheme for the gas dynamics equations on unstructured meshes Communications in Computational Physics (CICP), Vol. 20, No. 1, pp. 188-233 (2016) Paper
  • 68.UPMC: Benjamin Boutin, Jean-Francois Coulombel. Stability of finite di↵erence schemes for hyperbolic initial boundary value problems: numerical boundary layers. Numerical Mathematics: Theory Methods and Applications., Global Science Press, 2017, 10 (3), pp.489-519. Paper
  • 69.UPMC: Benjamin Boutin, Frdric Coquel, Philippe G. Lefloch. Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi- component laws. Mathematics of Computation / Mathematics of Computation, American Mathematical Society, 2015, 84, pp.1663-1702 Paper
  • 70.UPMC: A. Beljadid and P.G. LeFloch, A central-upwind geometry-preserving method for hyperbolic conservation laws on the sphere, Commun. Appl. Math. Comput. Sci. 12 (2017), 81–107. Paper
  • 71.UPMC: P.G. LeFloch and S. Xiang, A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild background, preprint Hal01423454. Paper
  • 72.UPMC: Chalons C., Girardin M., S. Kokh. An all-regime Lagrange-Projection like scheme for 2D homogeneous models for two-phase flows on unstructured meshes Journal of Computational Physics (JCP), Vol. 335, pp. 885-904 (2017) Paper
  • 73.UPMC: Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald Orthogonal matching pursuit under the restricted isometry property. Constr. Approx. 45 (2017), no. 1, 113127. Paper
  • 74.UPMC: J. Giesselman and P.G. LeFloch, Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary, Numerische Mathematik. Preprint ArXiv:1607.03944. Paper
  • 75.UPMC: T. Ceylan, P.G. LeFloch, and B. Okutmustur, A finite volume method for the relativistic Burgers equation on a FLRW background spacetime, Commun. Comput. Phys. (CiCP), 2017. Paper
  • 76.UPMC: Y. Cao and and P.G. LeFloch, Fluid flows on cosmological spacetimes. The initial value problem, in preparation.
  • 77.UPMC: Y. Cao and and P.G. LeFloch, Fluid flows on cosmological spacetimes. A geometry-preserving shock-capturing method, in preparation.
  • 78.ETH/University of Zurich: Quantitative stability for anisotropic nearly umbilical hypersurfaces, A. DeRosa and S. Gioffre, Arxiv 1705.09994 Paper
  • 79.ETH/University of Zurich: Quantitative W(2,p) stability for Einstein hypersurfaces, S. Gioffre, Arxiv 1703.08146 Paper
  • 80.ETH/University of Zurich: A W(2,p) estimate for almost umbilical hypersurfaces, S. Gioffre, Arxiv 1612.08570 Paper

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