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.
Complete List of Numerical Analysis Research Publications (PDF file)
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 Mathematical Linguistics Research Publications (PDF file)
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