2 citations · 6 across the 7 of their papers we have counts for
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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…
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…
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…
Adaptive mesh point selection for the efficient solution of scalar IVPs
Boleslaw Kacewicz
We discuss adaptive mesh point selection for the solution of scalar IVPs. We consider a method that is optimal in the sense of the speed of convergence, and aim at minimizing the l…