Edit Profile (opens in new tab) Fazio, Riccardo Co-Author Distance Author ID: fazio.riccardo Published as: Fazio, Riccardo; Fazio, R.; Fazio more...less External Links: ORCID Documents Indexed: 81 Publications since 1987, including 16 Additional arXiv Preprints Reviewing Activity: 11 Reviews Co-Authors: 10 Co-Authors with 31 Joint Publications 400 Co-Co-Authors all top 5 Co-Authors 49 single-authored 18 Jannelli, Alessandra 10 Iacono, Salvatore 4 Cavaccini, Giovanni 4 Evans, David John 4 Pianese, Vittoria 1 Ambrosi, Davide 1 Caturano, Gennaro 1 Ciliberto, Antonio 1 Insana, Alessandra 1 LeVeque, Randall J. 1 Russo, Giovanni all top 5 Serials 7 International Journal of Computer Mathematics 6 Journal of Computational and Applied Mathematics 5 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Computation 3 Computers and Fluids 3 Acta Applicandae Mathematicae 3 Applied Mathematics E-Notes 2 Acta Mechanica 2 Calcolo 2 IAENG. International Journal of Applied Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Wave Motion 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Rivista di Matematica della Università di Parma. Serie IV 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 SIAM Review 1 Computational and Applied Mathematics 1 Journal of Computational Methods in Sciences and Engineering 1 Communications in Computational Physics all top 5 Fields 62 Numerical analysis (65-XX) 35 Ordinary differential equations (34-XX) 24 Fluid mechanics (76-XX) 19 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 3 Topological groups, Lie groups (22-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 294 times in 106 Documents Cited by ▼ Year ▼ The Blasius problem formulated as a free boundary value problem. Zbl 0753.76051 Fazio, R. 25 1992 A novel approach to the numerical solution of boundary value problems on infinite intervals. Zbl 0855.65090 Fazio, Riccardo 24 1996 Similarity and numerical analysis for free boundary value problems. Zbl 0751.65051 Fazio, R.; Evans, D. J. 18 1989 Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094 Fazio, R.; LeVeque, R. J. 16 2003 The Falkner-Skan equation: Numerical solutions within group invariance theory. Zbl 0835.76023 Fazio, Riccardo 15 1994 A similarity approach to the numerical solution of free boundary problems. Zbl 0915.65090 Fazio, Riccardo 15 1998 A survey on free boundary identification of the truncated boundary in numerical BVPs on infinite intervals. Zbl 0997.65100 Fazio, Riccardo 14 2002 A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material. Zbl 0825.73117 Fazio, Riccardo 11 1992 Normal variables transformation method applied to free boundary value problems. Zbl 0725.65129 Fazio, R. 11 1990 The iterative transformation method: Numerical solution of one-dimensional parabolic moving boundary problems. Zbl 1009.65056 Fazio, Riccardo 11 2001 Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals. Zbl 1294.65078 Fazio, Riccardo; Jannelli, Alessandra 11 2014 Blasius problem and Falkner-Skan model: Töpfer’s algorithm and its extension. Zbl 1365.76280 Fazio, Riccardo 10 2013 A numerical test for the existence and uniqueness of solution of free boundary problems. Zbl 0894.65035 Fazio, Riccardo 10 1997 Numerical transformation methods: Blasius problem and its variants. Zbl 1422.76051 Fazio, Riccardo 10 2009 Numerical applications of the scaling concept. Zbl 0919.65048 Fazio, Riccardo 7 1999 A nonlinear hyperbolic free boundary value problem. Zbl 0706.65127 Fazio, R. 7 1990 The iterative transformation method and length estimation for tubular flow reactors. Zbl 0728.65109 Fazio, Riccardo 6 1991 The iterative transformation method for the Sakiadis problem. Zbl 1390.76670 Fazio, Riccardo 6 2015 Numerical length estimation for tubular flow reactors. Zbl 0759.65050 Fazio, Riccardo 5 1992 Adaptive stiff solvers at low accuracy and complexity. Zbl 1089.65061 Jannelli, Alessandra; Fazio, Riccardo 5 2006 A noniterative transformation method applied to two-point boundary-value problems. Zbl 0707.65058 Fazio, R. 5 1990 On the moving boundary formulation for parabolic problems on unbounded domains. Zbl 1179.65119 Fazio, Riccardo; Iacono, Salvatore 5 2010 Central schemes and second order boundary conditions for 1D interface and piston problems in Lagrangian coordinates. Zbl 1364.76130 Fazio, Riccardo; Russo, Giovanni 4 2010 Numerical transformation methods: A constructive approach. Zbl 0806.65078 Fazio, Riccardo 4 1994 Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems. Zbl 0704.65067 Fazio, Riccardo 4 1990 Second order numerical operator splitting for 3D advection-diffusion-reaction models. Zbl 1216.65103 Fazio, Riccardo; Jannelli, Alessandra 4 2010 BVPs on infinite intervals: a test problem, a nonstandard finite difference scheme and a posteriori error estimator. Zbl 1387.65072 Fazio, Riccardo; Jannelli, Alessandra 4 2017 A free boundary approach and Keller’s box scheme for BVPs on infinite intervals. Zbl 1046.65059 Fazio, Riccardo 4 2003 Mathematical and numerical modeling for a bio-chemical aquarium. Zbl 1086.92052 Fazio, Riccardo; Jannelli, Alessandra 3 2006 One-dimensional mathematical and numerical modeling of liquid dynamics in a horizontal capillary. Zbl 1251.76016 Cavaccini, Giovanni; Pianese, Vittoria; Jannelli, Alessandra; Iacono, Salvatore; Fazio, Riccardo 3 2009 Second order positive schemes by means of flux limiters for the advection equation. Zbl 1229.76072 Fazio, Riccardo; Jannelli, Alessandra 3 2009 A 3D mathematical model for the prediction of mucilage dynamics. Zbl 1009.76519 Jannelli, Alessandra; Fazio, Riccardo; Ambrosi, Davide 3 2003 Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods. Zbl 1331.65102 Fazio, Riccardo 2 2015 Addendum et errata. Zbl 0760.65076 Fazio, R.; Evans, D. J. 2 1991 A free boundary test problem for a non-iterative transformation method and a shooting method. Zbl 0771.65044 Fazio, Riccardo 2 1991 The iterative transformation method: Free or moving boundary value problems. Zbl 0770.65050 Fazio, Riccardo 2 1992 Similarity analysis for moving boundary parabolic problems. Zbl 0766.35082 Fazio, Riccardo 2 1992 Similarity analysis of a moving boundary hyperbolic problem. Zbl 0825.73969 Fazio, Riccardo 2 1991 A non-iterative transformation method for an extended Blasius problem. Zbl 1512.65151 Fazio, Riccardo 2 2021 Numerical scaling invariance applied to the van der Pol model. Zbl 1155.65058 Fazio, Riccardo 2 2008 Extended scaling invariance of one-dimensional models of liquid dynamics in a horizontal capillary. Zbl 1242.76049 Fazio, Riccardo; Iacono, Salvatore; Jannelli, Alessandra; Cavaccini, Giovanni; Pianese, Vittoria 2 2012 On the translation groups and non-iterative transformation methods. Zbl 1207.34044 Fazio, Riccardo; Iacono, Salvatore 2 2010 Ill and well-posed one-dimensional models of liquid dynamics in a horizontal capillary. Zbl 1426.76143 Fazio; Riccardo; Jannelli, Alessandra 2 2010 A moving boundary problem for rate-type materials. Zbl 0755.73033 Fazio, R. 1 1991 An implicit difference scheme for a moving boundary hyperbolic problem. Zbl 0780.65076 Fazio, Riccardo; Evans, David J. 1 1993 Non-iterative transformation methods equivalence. Zbl 0790.34003 Fazio, Riccardo 1 1993 An analytical and numerical study of liquid dynamics in a one-dimensional capillary under entrapped gas action. Zbl 1309.76153 Fazio, Riccardo; Iacono, Salvatore 1 2014 Finite difference methods and group analysis for a class of quasilinear- hyperbolic equations. Zbl 0679.65070 Fazio, R. 1 1989 American put option: Richardson’s extrapolation and a posteriori error estimator for a front-fixing finite difference scheme. Zbl 1473.91030 Fazio, Riccardo 1 2020 Probability of detection for penetrant testing in industrial environment. Zbl 1202.94147 Caturano, Gennaro; Cavaccini, Giovanni; Ciliberto, Antonio; Pianese, Vittoria; Fazio, Riccardo 1 2010 A non-iterative transformation method for an extended Blasius problem. Zbl 1512.65151 Fazio, Riccardo 2 2021 American put option: Richardson’s extrapolation and a posteriori error estimator for a front-fixing finite difference scheme. Zbl 1473.91030 Fazio, Riccardo 1 2020 BVPs on infinite intervals: a test problem, a nonstandard finite difference scheme and a posteriori error estimator. Zbl 1387.65072 Fazio, Riccardo; Jannelli, Alessandra 4 2017 The iterative transformation method for the Sakiadis problem. Zbl 1390.76670 Fazio, Riccardo 6 2015 Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods. Zbl 1331.65102 Fazio, Riccardo 2 2015 Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals. Zbl 1294.65078 Fazio, Riccardo; Jannelli, Alessandra 11 2014 An analytical and numerical study of liquid dynamics in a one-dimensional capillary under entrapped gas action. Zbl 1309.76153 Fazio, Riccardo; Iacono, Salvatore 1 2014 Blasius problem and Falkner-Skan model: Töpfer’s algorithm and its extension. Zbl 1365.76280 Fazio, Riccardo 10 2013 Extended scaling invariance of one-dimensional models of liquid dynamics in a horizontal capillary. Zbl 1242.76049 Fazio, Riccardo; Iacono, Salvatore; Jannelli, Alessandra; Cavaccini, Giovanni; Pianese, Vittoria 2 2012 On the moving boundary formulation for parabolic problems on unbounded domains. Zbl 1179.65119 Fazio, Riccardo; Iacono, Salvatore 5 2010 Central schemes and second order boundary conditions for 1D interface and piston problems in Lagrangian coordinates. Zbl 1364.76130 Fazio, Riccardo; Russo, Giovanni 4 2010 Second order numerical operator splitting for 3D advection-diffusion-reaction models. Zbl 1216.65103 Fazio, Riccardo; Jannelli, Alessandra 4 2010 On the translation groups and non-iterative transformation methods. Zbl 1207.34044 Fazio, Riccardo; Iacono, Salvatore 2 2010 Ill and well-posed one-dimensional models of liquid dynamics in a horizontal capillary. Zbl 1426.76143 Fazio; Riccardo; Jannelli, Alessandra 2 2010 Probability of detection for penetrant testing in industrial environment. Zbl 1202.94147 Caturano, Gennaro; Cavaccini, Giovanni; Ciliberto, Antonio; Pianese, Vittoria; Fazio, Riccardo 1 2010 Numerical transformation methods: Blasius problem and its variants. Zbl 1422.76051 Fazio, Riccardo 10 2009 One-dimensional mathematical and numerical modeling of liquid dynamics in a horizontal capillary. Zbl 1251.76016 Cavaccini, Giovanni; Pianese, Vittoria; Jannelli, Alessandra; Iacono, Salvatore; Fazio, Riccardo 3 2009 Second order positive schemes by means of flux limiters for the advection equation. Zbl 1229.76072 Fazio, Riccardo; Jannelli, Alessandra 3 2009 Numerical scaling invariance applied to the van der Pol model. Zbl 1155.65058 Fazio, Riccardo 2 2008 Adaptive stiff solvers at low accuracy and complexity. Zbl 1089.65061 Jannelli, Alessandra; Fazio, Riccardo 5 2006 Mathematical and numerical modeling for a bio-chemical aquarium. Zbl 1086.92052 Fazio, Riccardo; Jannelli, Alessandra 3 2006 Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094 Fazio, R.; LeVeque, R. J. 16 2003 A free boundary approach and Keller’s box scheme for BVPs on infinite intervals. Zbl 1046.65059 Fazio, Riccardo 4 2003 A 3D mathematical model for the prediction of mucilage dynamics. Zbl 1009.76519 Jannelli, Alessandra; Fazio, Riccardo; Ambrosi, Davide 3 2003 A survey on free boundary identification of the truncated boundary in numerical BVPs on infinite intervals. Zbl 0997.65100 Fazio, Riccardo 14 2002 The iterative transformation method: Numerical solution of one-dimensional parabolic moving boundary problems. Zbl 1009.65056 Fazio, Riccardo 11 2001 Numerical applications of the scaling concept. Zbl 0919.65048 Fazio, Riccardo 7 1999 A similarity approach to the numerical solution of free boundary problems. Zbl 0915.65090 Fazio, Riccardo 15 1998 A numerical test for the existence and uniqueness of solution of free boundary problems. Zbl 0894.65035 Fazio, Riccardo 10 1997 A novel approach to the numerical solution of boundary value problems on infinite intervals. Zbl 0855.65090 Fazio, Riccardo 24 1996 The Falkner-Skan equation: Numerical solutions within group invariance theory. Zbl 0835.76023 Fazio, Riccardo 15 1994 Numerical transformation methods: A constructive approach. Zbl 0806.65078 Fazio, Riccardo 4 1994 An implicit difference scheme for a moving boundary hyperbolic problem. Zbl 0780.65076 Fazio, Riccardo; Evans, David J. 1 1993 Non-iterative transformation methods equivalence. Zbl 0790.34003 Fazio, Riccardo 1 1993 The Blasius problem formulated as a free boundary value problem. Zbl 0753.76051 Fazio, R. 25 1992 A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material. Zbl 0825.73117 Fazio, Riccardo 11 1992 Numerical length estimation for tubular flow reactors. Zbl 0759.65050 Fazio, Riccardo 5 1992 The iterative transformation method: Free or moving boundary value problems. Zbl 0770.65050 Fazio, Riccardo 2 1992 Similarity analysis for moving boundary parabolic problems. Zbl 0766.35082 Fazio, Riccardo 2 1992 The iterative transformation method and length estimation for tubular flow reactors. Zbl 0728.65109 Fazio, Riccardo 6 1991 Addendum et errata. Zbl 0760.65076 Fazio, R.; Evans, D. J. 2 1991 A free boundary test problem for a non-iterative transformation method and a shooting method. Zbl 0771.65044 Fazio, Riccardo 2 1991 Similarity analysis of a moving boundary hyperbolic problem. Zbl 0825.73969 Fazio, Riccardo 2 1991 A moving boundary problem for rate-type materials. Zbl 0755.73033 Fazio, R. 1 1991 Normal variables transformation method applied to free boundary value problems. Zbl 0725.65129 Fazio, R. 11 1990 A nonlinear hyperbolic free boundary value problem. Zbl 0706.65127 Fazio, R. 7 1990 A noniterative transformation method applied to two-point boundary-value problems. Zbl 0707.65058 Fazio, R. 5 1990 Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems. Zbl 0704.65067 Fazio, Riccardo 4 1990 Similarity and numerical analysis for free boundary value problems. Zbl 0751.65051 Fazio, R.; Evans, D. J. 18 1989 Finite difference methods and group analysis for a class of quasilinear- hyperbolic equations. Zbl 0679.65070 Fazio, R. 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 139 Authors 33 Fazio, Riccardo 9 Jannelli, Alessandra 5 Iacono, Salvatore 3 Abbasbandy, Saeid 3 Ariel, P. Donald 3 Ruggieri, Marianna 3 Speciale, Maria Paola 3 Weinmüller, Ewa B. 2 Alonso Quesada, Santiago 2 Asaithambi, Asai 2 Bellamine, F. H. 2 Bougoffa, Lazhar 2 Burkotová, Jana 2 de la Sen, Manuel 2 Elkamel, Ali 2 Evans, David John 2 Gheorghiu, Călin Ioan 2 Manganaro, Natale 2 Rachůnková, Irena 2 Wu, Qingbiao 2 Zhu, Shengfeng 1 Abbate, Emanuela 1 Abelman, Shirley 1 Al-Armani, Nwaf 1 Allwright, Amy 1 Almansoori, Ali 1 Amore, Paolo 1 Ancey, Christophe 1 Angiulli, Giovanni 1 Atangana, Abdon 1 Attili, Basem S. 1 Bebbouchi, Rachid 1 Ben-Romdhane, Mohamed 1 Bervillier, Claude 1 Bhatt, Harish P. 1 Bougouffa, Smail 1 Brandl, Andreas 1 Cao, Wanrong 1 Cavaccini, Giovanni 1 Chen, Binghe 1 Chen, Xin 1 Cheng, Xiaoliang 1 Chertock, Alina E. 1 Cochard, Steve 1 Coco, Armando 1 Conte, Robert Maurice 1 Currò, Carmela 1 Dai, Denghui 1 De Bonis, Maria Carmela 1 Doha, Eid H. 1 Druetta, P. 1 Ebaid, Abdelhalim 1 Essaghir, Elhoucine 1 Falati, M. 1 Fareo, A. G. 1 Fusco, Domenico 1 Gao, Huijun 1 Gao, Yufeng 1 Gavrilyuk, Sergey L. 1 Hafez, Ramy Mahmoud 1 Hajishafieiha, Jalal 1 Hammad, Magda 1 Hashim, Ishak 1 He, Kaifeng 1 Herişanu, Nicolae 1 Hojjati, Gholamreza 1 Iollo, Angelo 1 Jaguaribe, Emerson Freitas 1 Kai, Yue 1 Kao, Yonggui 1 Khaliq, Abdul Qayyum Masud 1 Khan, Yasir 1 Khandelwal, Rachana 1 Khandelwal, Yogesh 1 Khanfer, Ammar 1 Khokhlov, Alexei M. 1 Khuri, Suheil A. 1 Koch, Othmar 1 Kumar Pandey, Pramod 1 Kurganov, Alexander 1 Kutniv, Myroslav V. 1 Lahjomri, Jawad 1 Lee, Vincent W. 1 LeVeque, Randall J. 1 Li, Tingyue 1 Makhfi, Abdelali 1 Maleki, Mohammad Reza 1 Manhartsgruber, Bernhard 1 Mansour, Andrew Abi 1 Marinca, Vasile 1 Mikota, Gudrun 1 Mitchell, Sarah L. 1 Momoniat, Ebrahim 1 Morabito, Francesco Carlo 1 Ng, Tuen-Wai 1 Oubarra, Abdelaziz 1 Panthangi, Murali Krishna 1 Parent, Bernard 1 Patidar, Kailash C. 1 Phan, Duyen T. M. ...and 39 more Authors all top 5 Cited in 50 Serials 16 Applied Mathematics and Computation 8 Journal of Computational and Applied Mathematics 8 International Journal of Computer Mathematics 6 Mathematical Methods in the Applied Sciences 5 Applied Numerical Mathematics 3 Acta Mechanica 3 Computers & Mathematics with Applications 3 Numerical Algorithms 3 Abstract and Applied Analysis 3 Applied Mathematics E-Notes 2 Computers and Fluids 2 Journal of Computational Physics 2 Calcolo 2 Acta Applicandae Mathematicae 2 Physica D 2 Computational and Applied Mathematics 2 Communications in Computational Physics 1 Applicable Analysis 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Automatica 1 BIT 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Meccanica 1 Bulletin des Sciences Mathématiques 1 Engineering Analysis with Boundary Elements 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Mathematical and Computer Modelling of Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Applied Sciences 1 International Journal of Modern Physics C 1 Journal of Nonlinear Mathematical Physics 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 International Journal of Biomathematics 1 Afrika Matematika 1 Mathematical Sciences 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) all top 5 Cited in 18 Fields 70 Numerical analysis (65-XX) 40 Ordinary differential equations (34-XX) 35 Fluid mechanics (76-XX) 29 Partial differential equations (35-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year