3 papers
math.NT2011
The continued fractions ladder of
Mitja Lakner, Peter Petek, Marjeta Škapin Rugelj
Quadratic irrationals posses a periodic continued fraction expansion. Much less is known about cubic irrationals. We do not even know if the partial quotients are bounded, even tho…
math.NT2011
Different bases in investigation of
Mitja Lakner, Peter Petek, Marjeta Škapin Rugelj
The present paper is in a sense a continuation of \cite{PLS}, it relies on the notation and some results. The problem tackled in both papers is the nature of the continued fraction…
math.NA2010
Equal-area method for scalar conservation laws
Marjeta Kramar Fijavž, Mitja Lakner, Marjeta Škapin Rugelj
We study one-dimensional conservation law. We develop a simple numerical method for computing the unique entropy admissible weak solution to the initial problem. The method basis o…