99 citations · 459 across the 24 of their papers we have counts for
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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…
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…