Research Team: Numerical analysis
Research Activities
-Numerical methods; Software development; Approximation theory.
-Numerical studies of certain complex surfaces known as "fake projective planes" and of automorphic forms associated with them.
-Graph signal processing; Computational time-frequency analysis and applications.-Mathematical modeling with applications to real life problems, such as: cancer, Covid-19, electrical activity and Ca+ dynamics in endocrine cells, epidemiology, ecology, eco epidemiologi, wastewater bioremediation, etc.
-Slow/fast bifurcation analysis; excitation waves; Geometrical singular perturbation theory (GSPT), bifurcation diagrams.
Members (Permanent Staff)
Iulia Martina Bulai (imbulai@uniss.it), Ricercatore di tipo B (RTdB), MAT/08, 0000-0002-9570-8532, rp78102, 56972617800
Tim Joshua Steger (steger@uniss.it), Professore ordinario, MAT/05
Collaborators
Martina Salvia, Borsista, 1/05/2022-30/09/2022
Giulia Orrù, Borsista, 1/08/2023-present
Relevant Publications
[1] I.M. Bulai, M.C De Bonis, C. Laurita, Numerical solution of metastatic tumor growth models with treatment. Applied Mathematics and Computation, 484, 128988, 2025.
[2] I. M. Bulai, M. Sensi, S. Sottile, A geometric analysis of the SIRS compartmental model with fast information and misinformation spreading. Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 185, 115104, 2024.
[3] I. M. Bulai, S. Saliani, Spectral graph wavelet packets frames. Applied and Computational Harmonic Analysis, 66, 18-45, 2023.
[4] I. M. Bulai, A. C. Esteves, F. Lima, E. Venturino, A mathematical modeling approach to assess biological control of an orange tree disease. Applied Mathematics Letters, 118, 107140, 2021.
[5] DONALD I. CARTWRIGHT, STEGER, Tim Joshua (2010). Enumeration of the 50 fake projective planes. COMPTES RENDUS MATHÉMATIQUE, vol. 348, p. 11-13, ISSN: 1631-073X, 2010.
Research Projects
- "Studio di modelli nelle scienze della vita", Francesca Gladiali, DM 737/2021, Bando interno per la ricerca collaborativa tra Ateneo di Sassari e Ateneo di Cagliari 2024, 19.673,23 Euro.
- "Mathematical modeling and control theory", Mobilità Giovanni Ricercatori 2024, Iulia Martina Bulai, 12.300 Euro.
- "TIme-varying signals on Graphs: REal and COmplex methods - TIGRECO", Iulia Martina Bulai, Progetti di Rilevante Interesse Nazionale Under 40, PRIN2022, 187.500 Euro.
- "RIACT - RIpristino degli Ambienti Costieri con approcci Transdisciplinari", Marco Malavasi, Progetti di ricerca interdisciplinari, 34.762,18 Euro.
Thesis/internship topics
-Study of mathematical models with applications ranging from biology, medicine, epidemiology, etc.
-MATLAB Toolbox extensions for the analysis and study of mathematical models
-Graph Signal Processing