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20082026
most citedPhysics-informed neural networks for the shallow-water equations on the sphere

143 citations · 757 across the 54 of their papers we have counts for

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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…

math.NA2018

Symmetry-preserving finite element schemes: An introductory investigation

Alexander Bihlo, Francis Valiquette

Using the method of equivariant moving frames, we present a procedure for constructing symmetry-preserving finite element methods for second-order ordinary differential equations.…