2 citations · 6 across the 7 of their papers we have counts for
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math.NA2017★ 2 cited
Efficient finite-dimensional solution of initial value problems in infinite-dimensional Banach spaces
Boleslaw Kacewicz, Pawel Przybylowicz
We deal with the approximate solution of initial value problems in infinite-dimensional Banach spaces with a Schauder basis. We only allow finite-dimensional algorithms acting in t…
math.NA2017
Asymptotically tight worst case complexity bounds for initial-value problems with nonadaptive information
Boleslaw Kacewicz
It is known that, for systems of initial-value problems, algorithms using adaptive information perform much better in the worst case setting than the algorithms using nonadaptive i…
math.NA2017★ 1 cited
Adaptive mesh selection asymptotically guarantees a prescribed local error for systems of initial value problems
Boleslaw Kacewicz
We study adaptive mesh selection for the solution of systems of initial value problems. The goal is a rigorous theoretical analysis of potential advantages of adaption. For an opti…