, Spherical Harmonics and Approximations on the Unit Sphere: an introduction. Number 2044 in Lect. Notes. Math, 2012.
A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the Cubed-Sphere, J. Comput. Phys, vol.271, pp.224-243, 2014. ,
Schémas compacts hermitiens sur la sphère: applications en climatologie et océanographie numérique (in french), 2018. ,
,
On the use of exponential time integration methods in atmospheric models, Tellus A, vol.65, issue.1, p.20898, 2013. ,
Hermitian compact interpolation on the Cubed-Sphere grid, Jour. Sci. Comp, vol.57, pp.193-212, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01283647
Hermitian approximation of the spherical divergence on the Cubed-Sphere, Jour. Comp. App. Math, vol.280, pp.188-201, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01283649
Zonally propagating wave solutions of Laplace tidal equations in a baroclinic ocean of an aqua-planet, Tellus A, vol.63, pp.348-353, 2011. ,
An initial-value problem for testing numerical models of the global shallow water equations, Tellus, vol.56, pp.429-440, 2004. ,
Topics in Geophysical Fluid Dynamics:Atmospheric dynamics, Dynamo theory and Climate Dynamics, 1987. ,
A spectral element shallow water model on spherical geodesic grids, Int. J. Numer. Meth. Fluids, vol.35, issue.8, pp.869-901, 2001. ,
, Solving Differential equations vol. I, II. Springer Series in Comp. Mathematics, 1991.
The Trough-and-Ridge diagram, Tellus, vol.1, issue.2, pp.62-66, 1949. ,
A baroclinic instability test case for atmospheric model dynamical cores, Quart. J. Roy. Meteor. Soc, vol.132, pp.2943-2975, 2006. ,
Numerical integration of the global barotropic primitive equations with hough harmonic expansions, J. of the Atmos. Sci, vol.34, issue.5, pp.687-701, 1977. ,
Further studies on a spectral model of the global barotropic primitive equations with hough harmonic expansions, J. of the Atmos. Sci, vol.35, issue.11, pp.2043-2051, 1978. ,
The eigenfunctions of Lalace's tidal equations over a sphere, Phil. Trans. Roy. Soc. London, vol.262, pp.511-607, 1132. ,
Quasi-geostrophic motions in the equatorial area, J. Meteorol Soc. Jpn, vol.44, pp.25-43, 1966. ,
Shallow water waves on the rotating sphere, Phys. Rev. E, vol.51, issue.2, pp.4418-4431, 1995. ,
Shallow Water Waves on the Rotating Earth, Springer Brief in Earth System Sciences, 2015. ,
Planetary (Rossby) waves and inertia-gravity (poincaré) waves in a barotropic ocean over a sphere, J. Fluid Mech, vol.726, pp.123-136, 2013. ,
An efficient quadrature rule on the Cubed Sphere, J. Comp. App. Math, vol.328, pp.59-74, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01380370
Smooth quasi-homogeneous gridding of the sphere, J. Comput. Phys, vol.124, pp.637-647, 1998. ,
Moving vortices on the sphere: a test-case for horizontal advection problems, Mon. Wea. Rev, vol.136, pp.689-711, 2008. ,
The Cubed Sphere: A new method for the solution of partial differential equations in spherical geometry, J. Comput. Phys, vol.124, pp.93-114, 1996. ,
A Hermite-based shallow water solver for a thin ocean over a rotating sphere, J. Comput. Phys, vol.269, pp.80-97, 2014. ,
A Gegenbauer-based shallow water solver for a thick ocean over a rotating sphere, J. Comput. Phys, vol.304, pp.487-505, 2016. ,
A quantitative test case for global-scale dynamical cores based on analytic wave solutions of the shallow-water equations, Quat. Jour. Roy. Met. Soc, vol.142, pp.2705-2714, 2016. ,
The Matsuno baroclinic wave test case, Geo. Scient. Dev, vol.12, pp.2181-2193, 2019. ,
Numerical simulation of Rossby-Haurwitz waves, Tellus, vol.52, pp.181-189, 2000. ,
A proposed baroclinic wave test case for deep-and shallowatmosphere dynamical cores, Quart. J. Roy. Meteor. Soc, vol.140, pp.1590-1602, 2013. ,
High order finite-volume methods for the shallow-water equations on the sphere, J. Comput. Phys, vol.229, pp.6104-6134, 2010. ,
Atmospheric Modeling with High-Order finite volume methods, 2011. ,
The evolution of dynamical cores for global atmospheric models, J. Meteo. Soc. Japan, vol.85, pp.241-269, 2007. ,
A standard test set for numerical approximations to the shallow water equations in spherical geometry, J. Comput. Phys, vol.102, pp.211-224, 1992. ,
Designing adaptive low-dissipative high-order schemes for long-time integrations, Turbulent Flow Computation, Fluid Mechanics and its Applications. Kluwer Acad. Pub, vol.66, 2004. ,