Riccardo Fazio, Ph.D.

Affiliation: Department of Mathematics, Computer Science, Earth Science and Phisics University of Messina,

Viale F. Stagno D'Alcontres 31, 98166 Messina, Italy

Phone: +39 090 676 5064

Fax: +39 090 393502

E-mail: rfazio at unime.it or riccardo.fazio at unime.it

Research Interests: Numerical Analysis, Mathematical Modeling, Nonlinear Wave Propagation, Financial Problems.

Main Topic: Numerical Methods for Interface, Free and Moving Boundary Problems

Main Topic: Numerical Methods for Boundary Value Problems defined on Infinite Intervals

Sample numerical animations: Mixing of Fronts \ \ \ \ \ Industrial applications: Capillary Flows

rfazio.bib Database in BibTeX format. Right click and save as ... for the nicknames see (or print) the rfazio.pdf file.

Principi per Investire nel Modo Migliore, YouCanPrint, ROMA, 2026.

ETF, cosa sono? E perche' dovrebbero far parte dei tuoi investimenti, Lampi di stampa, Vignate, 2020.

Un capitolo disponibile da scaricare e stampare nel file pdf.

Available Preprints: pdf files. Courses (in Italian). SOFTWARE.

Free Boundary Formulation for Boundary Value Problems on Semi-Infinite Intervals: An up to Date Review. Math.Meth. Appl. Scie.,0, 1-9, 2025.

Numerical Transformation Mehtods for a Moving-Wall Boundary Layer Flow of a Rarefied Gas Free Stream over a Moving Flat Plate. Mathematics, 13, 601, 2025.

Free Boundary Formulation of two Extended Blasius Problems. Int. J. Non-Linear Mech., 153, 104423, 2023.

A Non-Iterative Transformation Method for Boundary-Layer with Power-Law Viscosity for non-Newtonian Fluids. Calcolo, 59, 43, 2022.

A Non-Standard Finite Difference Scheme for Magneto-Hydro-Dynamics Boundary Layer Flow of an Incompressible Fluid Past a Flat Plate. Joint work with A. Jannelli. Math. Comput. Appl., 26, 22, 2021.

A Front Fixing Implicit Finite Difference Method for the American Put Option Model. Joint work with: A. Jannelli and A. Insana. Math. Comput. Appl., 1, 0, 2021.

Existence and Uniqueness of BVPs Defined on Infinite Intervals: Insight from the Iterative Transformation Method. Math. Comput. Appl., 26, 18, 2021.

Perpetual American Put Option: an Error Estimator for a Non-Standard Finite Difference Scheme. Appl. Math. E-Notes, 21, 282-290, 2021.

A Non-Iterative Transformation Method for an Extended Blasius Problem. Math. Meth. Appl. Sci., 44, 1996-2001, 2021.

Scaling Invariance and Numerical Transformation Methods: A Unifying Framework. Appl. Engin. Sci., 4, 100024, 2020.

American Put Option: Richardson's Extrapolation and a Posteriori Error Estimator for a Front-Fixing Finite Difference Scheme. Appl. Math. E-Notes, 20, 445-457, 2020.

The Iterative Transformation Method. Int. J. Nonlinear Mech., 116, 181-194, 2019.

The Non-Iterative Transformation Method. Int. J. Nonlinear Mech., 114,41-48, 2019.

Numerical Study on Gas Flow Through a Micro-nano Porous Medium Based on Finite Difference Schemes on Quasi-Uniform Grids. Joint work with A. Jannelli and Tiziana Rotondo. Int.J. Non-Linear Mech., 105, 186-191, 2018.

BVPs on Infinite Intervals: a Test Problem, a Nonstandard Finite Difference Scheme and a Posteriori Error Estimator. Joint work with A. Jannelli. Math. Meth. Appl. Sci., 40, 6285-6294, 2017.

The Iterative Transformation Method for the Sakiadis Problem, Comput. & Fluids, 106, 196-200, 2015.

A Non-Iterative Transformation Method for Newton's Free Boundary Problem . Int. J. Non-Linear Mech., 59, 23-27, 2014.

Finite Difference Schemes on Quasi-Uniform Grids for BVPs on Infinite Intervals. Joint work with A. Jannelli. J. Comput. Appl. Math., 269, 14-23, 2014.

Blasius Problem and Falkner-Skan model: Toepfer's Algorithm and its Extension. Comput. & Fluids, 73, 202-209, 2013.

R. Fazio, Metodi Numerici per Problemi di Evoluzione, YouCanPrint, Lecce, 2024.

(c) by Riccardo Fazio. Last modified: October 21, 2025.