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math.NA2026
A Unified Discrete Gradient-SAV Framework for Structure-Preserving Integration
Elena Celledoni, David Martín de Diego, Brynjulf Owren +1
We present a framework combining discrete gradient (DG) methods with the Scalar Auxiliary Variable (SAV) approach to construct structure-preserving integrators for dissipative and…
math.NA2024
Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
Alejandro Cabrera, David Martín 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…