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: 65 Publications since 1987 Reviewing Activity: 11 Reviews Co-Authors: 9 Co-Authors with 26 Joint Publications 380 Co-Co-Authors all top 5 Co-Authors 38 single-authored 13 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 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 48 Numerical analysis (65-XX) 25 Ordinary differential equations (34-XX) 22 Fluid mechanics (76-XX) 18 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 49 Publications have been cited 267 times in 96 Documents Cited by ▼ Year ▼ A novel approach to the numerical solution of boundary value problems on infinite intervals. Zbl 0855.65090Fazio, Riccardo 24 1996 The Blasius problem formulated as a free boundary value problem. Zbl 0753.76051Fazio, R. 20 1992 Similarity and numerical analysis for free boundary value problems. Zbl 0751.65051Fazio, R.; Evans, D. J. 17 1989 Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094Fazio, R.; LeVeque, R. J. 15 2003 A similarity approach to the numerical solution of free boundary problems. Zbl 0915.65090Fazio, Riccardo 14 1998 The Falkner-Skan equation: Numerical solutions within group invariance theory. Zbl 0835.76023Fazio, Riccardo 14 1994 A survey on free boundary identification of the truncated boundary in numerical BVPs on infinite intervals. Zbl 0997.65100Fazio, Riccardo 13 2002 Normal variables transformation method applied to free boundary value problems. Zbl 0725.65129Fazio, R. 11 1990 The iterative transformation method: Numerical solution of one-dimensional parabolic moving boundary problems. Zbl 1009.65056Fazio, Riccardo 10 2001 A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material. Zbl 0825.73117Fazio, Riccardo 10 1992 Numerical transformation methods: Blasius problem and its variants. Zbl 1422.76051Fazio, Riccardo 9 2009 Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals. Zbl 1294.65078Fazio, Riccardo; Jannelli, Alessandra 9 2014 A numerical test for the existence and uniqueness of solution of free boundary problems. Zbl 0894.65035Fazio, Riccardo 9 1997 Blasius problem and Falkner-Skan model: Töpfer’s algorithm and its extension. Zbl 1365.76280Fazio, Riccardo 9 2013 A nonlinear hyperbolic free boundary value problem. Zbl 0706.65127Fazio, R. 7 1990 The iterative transformation method and length estimation for tubular flow reactors. Zbl 0728.65109Fazio, Riccardo 6 1991 Numerical applications of the scaling concept. Zbl 0919.65048Fazio, Riccardo 6 1999 A noniterative transformation method applied to two-point boundary-value problems. Zbl 0707.65058Fazio, R. 5 1990 Adaptive stiff solvers at low accuracy and complexity. Zbl 1089.65061Jannelli, Alessandra; Fazio, Riccardo 5 2006 The iterative transformation method for the Sakiadis problem. Zbl 1390.76670Fazio, Riccardo 5 2015 Numerical length estimation for tubular flow reactors. Zbl 0759.65050Fazio, Riccardo 5 1992 Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems. Zbl 0704.65067Fazio, Riccardo 4 1990 A free boundary approach and Keller’s box scheme for BVPs on infinite intervals. Zbl 1046.65059Fazio, Riccardo 4 2003 On the moving boundary formulation for parabolic problems on unbounded domains. Zbl 1179.65119Fazio, Riccardo; Iacono, Salvatore 4 2010 Numerical transformation methods: A constructive approach. Zbl 0806.65078Fazio, Riccardo 4 1994 Central schemes and second order boundary conditions for 1D interface and piston problems in Lagrangian coordinates. Zbl 1364.76130Fazio, Riccardo; Russo, Giovanni 4 2010 Second order numerical operator splitting for 3D advection-diffusion-reaction models. Zbl 1216.65103Fazio, Riccardo; Jannelli, Alessandra 3 2010 A 3D mathematical model for the prediction of mucilage dynamics. Zbl 1009.76519Jannelli, Alessandra; Fazio, Riccardo; Ambrosi, Davide 3 2003 One-dimensional mathematical and numerical modeling of liquid dynamics in a horizontal capillary. Zbl 1251.76016Cavaccini, Giovanni; Pianese, Vittoria; Jannelli, Alessandra; Iacono, Salvatore; Fazio, Riccardo 3 2009 Mathematical and numerical modeling for a bio-chemical aquarium. Zbl 1086.92052Fazio, Riccardo; Jannelli, Alessandra 3 2006 BVPs on infinite intervals: a test problem, a nonstandard finite difference scheme and a posteriori error estimator. Zbl 1387.65072Fazio, Riccardo; Jannelli, Alessandra 3 2017 Extended scaling invariance of one-dimensional models of liquid dynamics in a horizontal capillary. Zbl 1242.76049Fazio, Riccardo; Iacono, Salvatore; Jannelli, Alessandra; Cavaccini, Giovanni; Pianese, Vittoria 2 2012 Numerical scaling invariance applied to the van der Pol model. Zbl 1155.65058Fazio, Riccardo 2 2008 Second order positive schemes by means of flux limiters for the advection equation. Zbl 1229.76072Fazio, Riccardo; Jannelli, Alessandra 2 2009 A free boundary test problem for a non-iterative transformation method and a shooting method. Zbl 0771.65044Fazio, Riccardo 2 1991 Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods. Zbl 1331.65102Fazio, Riccardo 2 2015 The iterative transformation method: Free or moving boundary value problems. Zbl 0770.65050Fazio, Riccardo 2 1992 Similarity analysis for moving boundary parabolic problems. Zbl 0766.35082Fazio, Riccardo 2 1992 Similarity analysis of a moving boundary hyperbolic problem. Zbl 0825.73969Fazio, Riccardo 2 1991 American put option: Richardson’s extrapolation and a posteriori error estimator for a front-fixing finite difference scheme. Zbl 1473.91030Fazio, Riccardo 1 2020 Finite difference methods and group analysis for a class of quasilinear- hyperbolic equations. Zbl 0679.65070Fazio, R. 1 1989 Probability of detection for penetrant testing in industrial environment. Zbl 1202.94147Caturano, Gennaro; Cavaccini, Giovanni; Ciliberto, Antonio; Pianese, Vittoria; Fazio, Riccardo 1 2010 On the translation groups and non-iterative transformation methods. Zbl 1207.34044Fazio, Riccardo; Iacono, Salvatore 1 2010 Ill and well-posed one-dimensional models of liquid dynamics in a horizontal capillary. Zbl 1426.76143Fazio; Riccardo; Jannelli, Alessandra 1 2010 Addendum et errata. Zbl 0760.65076Fazio, R.; Evans, D. J. 1 1991 An analytical and numerical study of liquid dynamics in a one-dimensional capillary under entrapped gas action. Zbl 1309.76153Fazio, Riccardo; Iacono, Salvatore 1 2014 A moving boundary problem for rate-type materials. Zbl 0755.73033Fazio, R. 1 1991 An implicit difference scheme for a moving boundary hyperbolic problem. Zbl 0780.65076Fazio, Riccardo; Evans, David J. 1 1993 Non-iterative transformation methods equivalence. Zbl 0790.34003Fazio, Riccardo 1 1993 American put option: Richardson’s extrapolation and a posteriori error estimator for a front-fixing finite difference scheme. Zbl 1473.91030Fazio, Riccardo 1 2020 BVPs on infinite intervals: a test problem, a nonstandard finite difference scheme and a posteriori error estimator. Zbl 1387.65072Fazio, Riccardo; Jannelli, Alessandra 3 2017 The iterative transformation method for the Sakiadis problem. Zbl 1390.76670Fazio, Riccardo 5 2015 Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods. Zbl 1331.65102Fazio, Riccardo 2 2015 Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals. Zbl 1294.65078Fazio, Riccardo; Jannelli, Alessandra 9 2014 An analytical and numerical study of liquid dynamics in a one-dimensional capillary under entrapped gas action. Zbl 1309.76153Fazio, Riccardo; Iacono, Salvatore 1 2014 Blasius problem and Falkner-Skan model: Töpfer’s algorithm and its extension. Zbl 1365.76280Fazio, Riccardo 9 2013 Extended scaling invariance of one-dimensional models of liquid dynamics in a horizontal capillary. Zbl 1242.76049Fazio, Riccardo; Iacono, Salvatore; Jannelli, Alessandra; Cavaccini, Giovanni; Pianese, Vittoria 2 2012 On the moving boundary formulation for parabolic problems on unbounded domains. Zbl 1179.65119Fazio, Riccardo; Iacono, Salvatore 4 2010 Central schemes and second order boundary conditions for 1D interface and piston problems in Lagrangian coordinates. Zbl 1364.76130Fazio, Riccardo; Russo, Giovanni 4 2010 Second order numerical operator splitting for 3D advection-diffusion-reaction models. Zbl 1216.65103Fazio, Riccardo; Jannelli, Alessandra 3 2010 Probability of detection for penetrant testing in industrial environment. Zbl 1202.94147Caturano, Gennaro; Cavaccini, Giovanni; Ciliberto, Antonio; Pianese, Vittoria; Fazio, Riccardo 1 2010 On the translation groups and non-iterative transformation methods. Zbl 1207.34044Fazio, Riccardo; Iacono, Salvatore 1 2010 Ill and well-posed one-dimensional models of liquid dynamics in a horizontal capillary. Zbl 1426.76143Fazio; Riccardo; Jannelli, Alessandra 1 2010 Numerical transformation methods: Blasius problem and its variants. Zbl 1422.76051Fazio, Riccardo 9 2009 One-dimensional mathematical and numerical modeling of liquid dynamics in a horizontal capillary. Zbl 1251.76016Cavaccini, 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 1229.76072Fazio, Riccardo; Jannelli, Alessandra 2 2009 Numerical scaling invariance applied to the van der Pol model. Zbl 1155.65058Fazio, Riccardo 2 2008 Adaptive stiff solvers at low accuracy and complexity. Zbl 1089.65061Jannelli, Alessandra; Fazio, Riccardo 5 2006 Mathematical and numerical modeling for a bio-chemical aquarium. Zbl 1086.92052Fazio, Riccardo; Jannelli, Alessandra 3 2006 Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094Fazio, R.; LeVeque, R. J. 15 2003 A free boundary approach and Keller’s box scheme for BVPs on infinite intervals. Zbl 1046.65059Fazio, Riccardo 4 2003 A 3D mathematical model for the prediction of mucilage dynamics. Zbl 1009.76519Jannelli, Alessandra; Fazio, Riccardo; Ambrosi, Davide 3 2003 A survey on free boundary identification of the truncated boundary in numerical BVPs on infinite intervals. Zbl 0997.65100Fazio, Riccardo 13 2002 The iterative transformation method: Numerical solution of one-dimensional parabolic moving boundary problems. Zbl 1009.65056Fazio, Riccardo 10 2001 Numerical applications of the scaling concept. Zbl 0919.65048Fazio, Riccardo 6 1999 A similarity approach to the numerical solution of free boundary problems. Zbl 0915.65090Fazio, Riccardo 14 1998 A numerical test for the existence and uniqueness of solution of free boundary problems. Zbl 0894.65035Fazio, Riccardo 9 1997 A novel approach to the numerical solution of boundary value problems on infinite intervals. Zbl 0855.65090Fazio, Riccardo 24 1996 The Falkner-Skan equation: Numerical solutions within group invariance theory. Zbl 0835.76023Fazio, Riccardo 14 1994 Numerical transformation methods: A constructive approach. Zbl 0806.65078Fazio, Riccardo 4 1994 An implicit difference scheme for a moving boundary hyperbolic problem. Zbl 0780.65076Fazio, Riccardo; Evans, David J. 1 1993 Non-iterative transformation methods equivalence. Zbl 0790.34003Fazio, Riccardo 1 1993 The Blasius problem formulated as a free boundary value problem. Zbl 0753.76051Fazio, R. 20 1992 A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material. Zbl 0825.73117Fazio, Riccardo 10 1992 Numerical length estimation for tubular flow reactors. Zbl 0759.65050Fazio, Riccardo 5 1992 The iterative transformation method: Free or moving boundary value problems. Zbl 0770.65050Fazio, Riccardo 2 1992 Similarity analysis for moving boundary parabolic problems. Zbl 0766.35082Fazio, Riccardo 2 1992 The iterative transformation method and length estimation for tubular flow reactors. Zbl 0728.65109Fazio, Riccardo 6 1991 A free boundary test problem for a non-iterative transformation method and a shooting method. Zbl 0771.65044Fazio, Riccardo 2 1991 Similarity analysis of a moving boundary hyperbolic problem. Zbl 0825.73969Fazio, Riccardo 2 1991 Addendum et errata. Zbl 0760.65076Fazio, R.; Evans, D. J. 1 1991 A moving boundary problem for rate-type materials. Zbl 0755.73033Fazio, R. 1 1991 Normal variables transformation method applied to free boundary value problems. Zbl 0725.65129Fazio, R. 11 1990 A nonlinear hyperbolic free boundary value problem. Zbl 0706.65127Fazio, R. 7 1990 A noniterative transformation method applied to two-point boundary-value problems. Zbl 0707.65058Fazio, R. 5 1990 Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems. Zbl 0704.65067Fazio, Riccardo 4 1990 Similarity and numerical analysis for free boundary value problems. Zbl 0751.65051Fazio, R.; Evans, D. J. 17 1989 Finite difference methods and group analysis for a class of quasilinear- hyperbolic equations. Zbl 0679.65070Fazio, R. 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 124 Authors 31 Fazio, Riccardo 7 Jannelli, Alessandra 5 Iacono, Salvatore 3 Abbasbandy, Saeid 3 Ariel, P. Donald 3 Weinmüller, Ewa B. 2 Alonso Quesada, Santiago 2 Asaithambi, Asai 2 Bellamine, F. H. 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 Ruggieri, Marianna 2 Speciale, Maria Paola 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 Bougoffa, Lazhar 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 Doha, Eid H. 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 Herişanu, Nicolae 1 Hojjati, Gholamreza 1 Iollo, Angelo 1 Jaguaribe, Emerson Freitas 1 Kao, Yonggui 1 Khaliq, Abdul Q. M. 1 Khan, Yasir 1 Khandelwal, Rachana 1 Khandelwal, Yogesh 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, A. A. 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 Parent, Bernard 1 Patidar, Kailash C. 1 Phan, Duyen T. M. 1 Pianese, Vittoria 1 Poludnenko, Alexei Y. 1 Puppo, Gabriella 1 Rentschler, Martin 1 Russo, Giovanni 1 Sahoo, Bikash 1 Sayfy, Ali M. S. ...and 24 more Authors all top 5 Cited in 45 Serials 16 Applied Mathematics and Computation 8 Journal of Computational and Applied Mathematics 8 International Journal of Computer Mathematics 4 Applied Numerical Mathematics 3 Acta Mechanica 3 Mathematical Methods in the Applied Sciences 3 Numerical Algorithms 3 Abstract and Applied Analysis 3 Applied Mathematics E-Notes 2 Computers and Fluids 2 Computers & Mathematics with Applications 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 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 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Biomathematics 1 Afrika Matematika 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) all top 5 Cited in 16 Fields 64 Numerical analysis (65-XX) 38 Ordinary differential equations (34-XX) 30 Fluid mechanics (76-XX) 25 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 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 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year