21 citations · 32 across the 5 of their papers we have counts for
5 papers
Scalable Initialization Methods for Large-Scale Clustering
Joonas Hämäläinen, Tommi Kärkkäinen, Tuomo Rossi
In this work, two new initialization methods for K-means clustering are proposed. Both proposals are based on applying a divide-and-conquer approach for the K-means|| type of an in…
General conservation law for a class of physics field theories
Lauri Kettunen, Sanna Mönkölä, Jouni Parkkonen +1
In this paper we form a general conservation law that unifies a class of physics field theories. For this we first introduce the notion of a general field as a formal sum different…
Three-dimensional splitting dynamics of giant vortices in Bose-Einstein condensates
Jukka Räbinä, Pekko Kuopanportti, Markus Kivioja +2
We study the splitting dynamics of giant vortices in dilute Bose-Einstein condensates by numerically integrating the three-dimensional Gross-Pitaevskii equation in time. By taking…
Estimates for Deviations from Exact Solutions of Maxwell's Initial Boundary Value Problem
Dirk Pauly, Sergey Repin, Tuomo Rossi
In this paper, we consider an initial boundary value problem for Maxwell's equations. For this hyperbolic type problem, we derive guaranteed and computable upper bounds for the dif…
Theoretical Considerations on the Computation of Generalized Time-Periodic Waves
Dirk Pauly, Tuomo Rossi
We present both, theory and an algorithm for solving time-harmonic wave problems in a general setting. The time-harmonic solutions will be achieved by computing time-periodic solut…