RELJA
VULANOVIC
Research
Interests
NUMERICAL
ANALYSIS. I work on numerical methods for
singularly perturbed differential equations, mainly boundary value problems for
nonlinear ordinary differential equations. These problems arise in various
applications and have a small positive parameter multiplying the highest
derivative in the equation. The goal is to construct a numerical method that is
uniform in the perturbation parameter. In most of my papers, I achieve this
goal by using special discretization meshes of the Bakhvalov or Shishkin type.
MATHEMATICAL
LINGUISTICS. My research in the field of mathematical linguistics is
influenced by my math background and by my interest in languages. I
work on mathematical models of linguistic, most of all
syntactic, phenomena. I use a formal model of grammar similar
to Simon Dik's Functional Grammar to describe and
investigate linguistic structures and their properties. Some of my work is also
on statistical quantitative models. Grammar efficiency, models of syntactic
change, parts-of-speech systems - these are some typical topics that can be
found in many of my papers. Most recently, I have been working on metrics for
the degree of violation of the one-meaning–one-form principle.
Complete List
of Publications (PDF file)
Research Gate
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