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math.NA2026
Jacobi Hamiltonian Integrators: construction and applications
Adérito Araújo, Gonçalo Inocêncio Oliveira, João Nuno Mestre
We propose a systematic framework for constructing geometric integrators for Hamiltonian systems on Jacobi manifolds. By combining Poissonization of Jacobi structures with homogene…
math.NA2026
Optimal error estimates for a discontinuous Galerkin method on curved boundaries with polygonal meshes
Adérito Araújo, Milene Santos
We consider a discontinuous Galerkin method for the numerical solution of boundary value problems in two-dimensional domains with curved boundaries. A key challenge in this setting…