Research Interests

• Geometric integration
• General purpose numerical methods for Initial and Boundary-Value ODE problems
• Numerical integration of Fractional and Delay ODEs
• Method of lines for Hamiltonian PDEs
• Robust data fitting
• Mathematical software
• History of holomorphic dynamics
• Number theory

Books

L. Brugnano, F. Iavernaro, Line Integral Methods for Conservative Problems , CRC Press, Boca Raton, FL, 2016, pp. xvii+222. ISBN: 978-1-4822-6384-8.

D.S. Alexander, F. Iavernaro, A. Rosa, Early Days in Complex Dynamics , A history of complex dynamics in one variable during 1906-1942. Vol. 38. History of Mathematics, American Mathematical Society, Providence, RI; London Mathematical Society, London, 2011, p. 454. ISBN: 978-0-8218-4464-9

Publications

Author of more than 100 peer-reviewed publications.

List of publications via SCOPUS

List of publications via ORCID

Mathematical Software

FHBVM and FHBVM2 (Matlab codes)
Brugnano L., Gurioli G., Iavernaro F., Vikerpuur M.
Spectral variant of HBVM methods based on Jacobi orthogonal polynomials for the numerical solution of fractional differential equations with Caputo derivative (2024/25).

HBVM (Matlab code)
Brugnano L., Iavernaro F.
Family of energy-preserving Runge-Kutta methods for the numerical simulation of Hamiltonian problems (2010).

Test Set for Initial Value Problem Solvers
Mazzia F., Iavernaro F., Magherini C.
Collection of benchmark problems for IVP solvers (2001).

PGAM (Fortran90 code)
Iavernaro F., Mazzia F.
Parallel MPI extension of the GAMD solver for ODE initial value problems (1998).

GAM and GAMD (Fortran90 codes)
Iavernaro F., Mazzia F.
Solvers for ODE-IVPs and DAE-IVPs (1997).

Teaching

• Numerical Calculus (Computer Science)
• Numerical Calculus II (Mathematics)
• Laboratory of Mathematics and Computer Science (Mathematics)
• Mathematical Methods for artificial Intelligence (Mathematics, Master Degree)