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20072023
most citedImplicit-Explicit Variational Integration of Highly Oscillatory Problems

70 citations · 388 across the 29 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.NA2013★ 15 cited

Banach space projections and Petrov-Galerkin estimates

Ari Stern

We sharpen the classic a priori error estimate of Babuska for Petrov-Galerkin methods on a Banach space. In particular, we do so by (i) introducing a new constant, called the Banac…

math.NA2013★ 18 cited

Modified trigonometric integrators

Robert I. McLachlan, Ari Stern

We study modified trigonometric integrators, which generalize the popular class of trigonometric integrators for highly oscillatory Hamiltonian systems by allowing the fast frequen…