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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…
physics.flu-dyn2021★ 35 cited
Rotating shallow water flow under location uncertainty with a structure-preserving discretization
Rüdiger Brecht, Long Li, Werner Bauer +1
We introduce a physically relevant stochastic representation of the rotating shallow water equations. The derivation relies mainly on a stochastic transport principle and on a deco…