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.

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.

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: February 13, 2025.