69 citations · 72 across the 2 of their papers we have counts for
2 papers
math.NA2013★ 3 cited
On an asymptotic method for computing the modified energy for symplectic methods
Per Christian Moan, Jitse Niesen
We revisit an algorithm by Skeel et al. for computing the modified, or shadow, energy associated with the symplectic discretization of Hamiltonian systems. By rephrasing the algori…
math.CA2006★ 69 cited
Convergence of the Magnus series
Per Christian Moan, Jitse Niesen
The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals…