Finite fixed-point iterations in implicit symplectic integrators induce a perturbed symplectic matrix that remains skew-symmetric, with one diagonal block vanishing and others showing O(h^{M+1}) perturbations, leading to controlled volume and energy errors.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Symplectic Error of Implicit Symplectic Integrators: A Qualitative Structural Analysis
Finite fixed-point iterations in implicit symplectic integrators induce a perturbed symplectic matrix that remains skew-symmetric, with one diagonal block vanishing and others showing O(h^{M+1}) perturbations, leading to controlled volume and energy errors.