99 citations · 459 across the 24 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.NA2013
Improving the accuracy of the AVF method
Jan L. Cieśliński
The Average Vector Field (AVF) method is a B-series scheme of the second order. As a discrete gradient method it preserves exactly the energy integral for any canonical Hamiltonian…
physics.comp-ph2013★ 3 cited
Locally exact modifications of discrete gradient schemes
Jan L. Cieśliński
Locally exact integrators preserve linearization of the original system at every point. We construct energy-preserving locally exact discrete gradient schemes for arbitrary multidi…
math.NA2013★ 14 cited
Locally exact modifications of numerical schemes
Jan L. Cieśliński
We present a new class of exponential integrators for ordinary differential equations: locally exact modifications of known numerical schemes. Local exactness means that they prese…