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math.NA2021
Selective decay for the rotating shallow-water equations with a structure-preserving discretization
Rüdiger Brecht, Werner Bauer, Alexander Bihlo +2
Numerical models of weather and climate critically depend on long-term stability of integrators for systems of hyperbolic conservation laws. While such stability is often obtained…
math.NA2018★ 20 cited
Variational integrator for the rotating shallow-water equations on the sphere
Rüdiger Brecht, Werner Bauer, Alexander Bihlo +2
We develop a variational integrator for the shallow-water equations on a rotating sphere. The variational integrator is built around a discretization of the continuous Euler-Poinca…