almost-Poisson systems 1discrete gradient methods 1energy preservation 1scalar auxiliary variable 1structure-preserving integration 1
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math.NA2026
A Unified Discrete Gradient-SAV Framework for Structure-Preserving Integration
Elena Celledoni, David MartÃn de Diego, Brynjulf Owren +1
The paper introduces a unified framework that combines discrete gradient methods with the Scalar Auxiliary Variable (SAV) approach to create structure‑preserving integrators for bo…
math.NA2024
Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
Alejandro Cabrera, David MartÃn de Diego, Miguel Vaquero
While the construction of symplectic integrators for Hamiltonian dynamics is well understood, an analogous general theory for Poisson integrators is still lacking. The main challen…