A finite element method for solving the shallow water equations on the sphere

The finite element method. Linear static and dynamic finite element analysis

Thomas Zimmermann · Computer Methods in Applied Mechanics and Engineering · 1987 · 5.1K citations

Engineering, Computational Engineering, Mechanical Engineering +12

Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

Uri M. Ascher, Steven J. Ruuth, Raymond J. Spiteri · Applied Numerical Mathematics · 1997 · 1.3K citations

Natural Sciences, Computational Engineering, Mathematics +14

A standard test set for numerical approximations to the shallow water equations in spherical geometry

David Williamson, John B. Drake, James J. Hack et al. · Journal of Computational Physics · 1992 · 870 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +12

The “Cubed Sphere”: A New Method for the Solution of Partial Differential Equations in Spherical Geometry

C. Ronchi, R. Iacono, Pier Stanislao Paolucci · Journal of Computational Physics · 1996 · 502 citations

Natural Sciences, Mathematics, Computational Geometry +11

A global ocean mesh to overcome the North Pole singularity

Gurvan Madec, Maurice Imbard · Climate Dynamics · 1996 · 414 citations

Natural Sciences, Earth Sciences, Oceanography +5