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.
URL : http://www.jstor.org/stable/3620776
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
The Tamagawa product method for predicting positive rank is subsumed by parity conjectures through an extension of Brauer relations to K-relations and a compatibility between Tamagawa numbers and local root numbers.
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.
-
Tamagawa numbers and positive rank of elliptic curves
The Tamagawa product method for predicting positive rank is subsumed by parity conjectures through an extension of Brauer relations to K-relations and a compatibility between Tamagawa numbers and local root numbers.