J.-B. Bellet, M. Brachet, J.-P. Croisille:
Interpolation on the Cubed Sphere with Spherical Harmonics,
Preprint 2021, submitted.
J.-B. Bellet, M. Brachet, J.-P. Croisille:
Interpolation on the Cubed Sphere with Spherical Harmonics,
Preprint 2021, submitted.
M. Ben-Artzi, J-P. Croisille, D. Fishelov:
Navier-Stokes equations in planar domains
Imperial College Press, 2013.
J-P. Croisille, G. Lebeau:
Diffraction
by an elastic immersed wedge
Lect. Notes in Math., 1723, 1999.
J.-B. Bellet, M. Brachet, J.-P. Croisille:
Quadrature and symmetry on the Cubed Sphere,
J. Comp. App. Math., 2022.
M. Brachet, J.-P. Croisille:
A center compact scheme for the Shallow Water equations on the sphere,
Comp. and Fluids, 236, 2022.
D. Fishelov, J.-P. Croisille:
Optimal convergence for the time-dependent Stokes equation: a new approach,
J. Sci. Comp., 89, article number 66, 2021.
M. Brachet, J.-P. Croisille:
Spherical shallow water wave simulation by a Cubed Sphere finite difference solver,
Quat. J. Roy. Met. Soc., 147(735), 2021, 786--800.
M. Ben-Artzi, J.-P. Croisille, D. Fishelov:
A Cartesian compact scheme for the Navier-Stokes equations in streamfunction formulation in irregular domains,
Jour. Sci. Comp., 81, 3, 2019, 1386--1408.
M. Ben-Artzi, J.-P. Croisille, D. Fishelov:
Time evolution of discrete fourth-order elliptic operators,
Num. Meths. PDEs, 35, 4, 2019, 1429--1457.
F. Haider, B. Courbet and J-P. Croisille:
A high-order interpolation for the finite volume method: the coupled least squares reconstruction.
Comp. and Fluids, 176, 2018, 20--39.
B. Portelenelle and J-P. Croisille:
An efficient quadrature rule on the Cubed Sphere
Jour. Comp. App. Math, 328, 2018, 59--74.
M. Ben-Artzi, J-P. Croisille, D. Fishelov and R. Katzir:
Discrete fourth-order Sturm-Liouville problems
IMA J. Num. Anal., 38, 3, 2018, 1485--1522.
J-P. Croisille:
Hermitian approximation of the spherical divergence on the Cubed-Sphere,
Jour. Comp. App. Math, 280, 2015, 188--201.
J-P. Croisille:
Hermitian compact interpolation on the Cubed-Sphere grid,
Jour. Sci. Comp., 57, 1, 2013, 193--212.
D. Fishelov M. Ben-Artzi, J-P. Croisille:
Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation
Jour. Sci. Comp., 53, 1, 2012, 55--79.
A. Abbas and J-P. Croisille:
A fourth order Hermitian Box-Scheme
with fast solver for the Poisson problem in a square
Jour. Sci. Comp., 49, 2011, 239--267.
D. Fishelov M. Ben-Artzi, J-P. Croisille:
Recent Developments in the Pure Streamfunction Formulation of the Navier-Stokes System
Jour. Sci. Comp., 45(1-3), 2010, 238--258.
D. Fishelov M. Ben-Artzi, J-P. Croisille:
A High Order Compact Scheme for the Pure-Streamfunction Formulation of
the Navier-Stokes Equations
Jour. Sci. Comp., 42(2), 2009, 216--250.
M. Ben-Artzi, I. Chorev, J-P. Croisille, D. Fishelov:
A Compact Difference Scheme for the Biharmonic Equation in
Planar Irregular Domains
SIAM Jour. Num. Anal , 47(4), 2009, 3087--3108.
F. Haider, J-P. Croisille, B. Courbet:
Stability Analysis of the Cell Centered Finite-Volume MUSCL Method on Unstructured Grids
Numerische Mathematik, 113(4), 2009, 555--600.
M. Ben-Artzi, J-P. Croisille, D. Fishelov:
A fast direct solver for the biharmonic
problem in a rectangular grid
SIAM Jour. Sci. Comp. , 31(1), 2008, 303--333.
J-P. Croisille:
A Hermitian Box-Scheme for 1D elliptic equations - Application to problems with high contrasts in the ellipticity
Computing , 78(4), 2006, 329--353.
M. Ben-Artzi, J-P. Croisille, D. Fishelov:
Convergence of a compact scheme for the pure streamfunction formulation of the unsteady Navier-Stokes system
SIAM Jour. Num. Anal , 78(4), 2006, 329--353.
M. Ben-Artzi, J-P. Croisille, D. Fishelov, S. Trachtenberg:
A Pure-Compact Scheme for the Streamfunction Formulation of Navier-Stokes
Equations
Jour. of Comp. Phys., 205(2), 2005, 640--664.
J-P. Croisille, A. Ern, T. Lelievre, J. Proft:
Analysis and simulation of a coupled hyperbolic/parabolic
model problem
Jour. of Num. Math.Comp., 13(2), 2005, 81--103.
J-P. Croisille, I. Greff:
An efficient box scheme for convection-diffusion equations with sharp contrasts in the
diffusion coefficients
Comp. and Fluids, 34(4,5), 2005, 462--489,
Special issue on Residual Distribution Schemes,
Discontinuous Galerkin Schemes and Adaptation.
J-P. Croisille:
Keller's
box-scheme for the one-dimensional stationary convection-diffusion equation,
Computing, 68(1), 2002, 37--63.
J-P. Croisille, I. Greff:
Some box-schemes for elliptic problems,
Num. Meth. Part. Diff. Equs, 18, 2002, 355--373.
J-P. Croisille:
Finite Volume Box-Schemes and mixed methods,
M2AN, 34(5), 2000, 1087--1106.
B. Courbet, J-P. Croisille:
Finite Volume Box-Schemes on triangular meshes,
M2AN, 32(5), 1998, 631--649.
J-P. Croisille, R. Khanfir:
Algorithmes de Boltzmann pour les \'equations de la MHD compressible,
C.R. Acad.Sci. Paris, t 323, s\'erie 2B, 1996, 103--110.
R. Khanfir, G. Chanteur, J-P. Croisille:
Resolution
of the system of equations of ideal magnetohydrodynamics by a finite-volume
kinetic-type method,
Comp. Phys. Comm. , 98, 1996, 301--316.
J-P. Croisille. R. Khanfir, G. Chanteur:
Numerical Simulation of
the MHD equations by a kinetic type method,
Jour. Sci. Comp.,10(1), 1995, 81---92.
J-P. Croisille, P. Villedieu:
Entropies de Lax pour les equations
d'Euler en desequilibre thermochimique.
C.R. Acad.Sci. Paris, t 318, s\'erie 1, 1994, 723--727.
J-P. Croisille, P. Delorme:
Kinetic Symmetrizations and pressure
laws for the Euler equations,
Physica D,10(1), 1992, 395---416.
F. Bourdel, J-P. Croisille, P. Delorme, P. Mazet,
Sur l'approximation par elements finis
des systemes hyperboliques K-diagonlisables -
Applications aux equations d'Euler et aux melanges de gaz.
La Recherche Aerospatiale,5, 1989, 15--34.
J-P. Croisille, D. Fishelov:
Time dependent two-dimensional fourth order problems: optimal convergence,
Numerical Mathematics and Advanced Applications, , ENUMATH 2019, European Conference, Egmond aan Zee,
F. J. Vermolen, C. Vuik eds.,
LNCSE 139, Springer, 2021, 429--438.
M. Ben-Artzi, J-P. Croisille, D. Fishelov:
An embedded compact scheme for biharmonic problems in irregular domains,
Studies in Comp. Intel., , Advanced Computing in Industrial Mathematics,
K. Georgiev, M. Todorov, I. Georgiev eds.,
Springer, 2018, 11--23.
F. Haider, P. Brenner, B. Courbet, J-P. Croisille:
Parallel Implementation of k-exact Finite Volume Reconstruction on Unstructured Grids
Lect. Notes Comp. Sci. Eng.,99, (2014)
High Order Nonlinear numerical schemes for evolutionary PDEs, Bordeaux, 2013,
R. Abgrall, H. Beaugendre, P.M. Congedo, C. Dobrzynski, V. Perrier and M. Ricchiuto eds ,
2014, 59--75.
F. Haider, P. Brenner, B. Courbet, J-P. Croisille:
Efficient implementation of high order reconstruction
in finite volume methods,
Springer Proceedings in Mathematics 4
Proc. of the 6th. Int. Symp. on Finite Volume for Complex Applications,
J. Fo\v{r}t, J. F\"{u}rst, J. Halama, R. Herbin et F. Hubert eds.,
2011, pp 189--197.
M. Ben-Artzi, J-P. Croisille, D. Fishelov:
Highly Accurate Discretization of the Navier-Stokes Equations in Streamfunction Formulation,
Lect. Notes in Comp. Science and Eng., 76, 2011, 189--197,
Spectral and High Order Methods for Partial Differential Equations,
Proc. of the 9th ICOSAHOM, 2010, J. S. Hesthaven , E. M. Ronquist eds.
F. Haider, P. Brenner, J-P. Croisille, B. Courbet:
Stability of the MUSCL method on general unstructured grids for applications to compressible fluid flows,
Computational Fluid Dynamics 2008
Proc. of the 5th. Int. Conf. on Comp. Fluid Dyn.,
H. Choi, H.G. Choi, J.Y. Yoo eds.,
2009, pp 255--260.
M. Ben-Artzi, J-P. Croisille, D. Fishelov:
A pure compact scheme for the
streamfunction formulation of the Navier-Stokes equations,
Lect. Notes in Comp. Sciences, 2667, 2003, 189--197,
V. Kumar, M. Gravilova,
C. Tan and P. L'Ecuyer eds, Springer, 809--817.
J-P. Croisille, I. Greff :
A box scheme for convection-diffusion
equations,
Proc. of the 3rd. Int. Symp. on Finite Volume for Complex Applications (Porquerolles, 2002),
Hermes-Penton Science, R. Herbin and D. Kroener eds., 325--332, (2002).
J-P. Croisille:
Finite Volume box-schemes,
Proc. of the 2cd. Int. Symp. on Finite Volume for Complex Applications (Duisburg, 1999),
Hermes Sciences, R. Vilsmeier, F. Benkhaldoun and D. Haenel eds., 239--246, (1999).
J-P. Croisille. G. Lebeau:
Computation of the diffracted wave by an immersed elastic wedge,
Proc of the 4th Int. Conf. on Mathematical and Numerical
Aspects of Wave Prop. (Golden, 1998) , J. DeSanto ed., SIAM, (1998).
J-P. Croisille, R. Khanfir, G. Chanteur:
A Kinetic Flux-splitting Scheme
for the MHD Equations,
Lect. Notes in Phys. 453,
Proc of the 14th Int. Conf. on Num. Meth. in Flu. Dyn. (Bangalore, 1994),
Springer, 1995, S. M. Deshpande, S.S. Desai, R. Narashima eds., pp 86--90.
J-P. Croisille, P. Villedieu:
A kinetic flux-splitting scheme for hypersonic
flows,
Lect. Notes in Phys. 414,
Proc. of the 13th Int. Conf. on Num. Meth. in Flu. Dyn., (Rome, 1992),
Springer, M. Napolitano and F. Sabetta eds., (1993) pp 310--313.