Edit Profile (opens in new tab) Carminati, John Co-Author Distance Author ID: carminati.john Published as: Carminati, J.; Carminati, John Documents Indexed: 50 Publications since 1982 Co-Authors: 22 Co-Authors with 43 Joint Publications 158 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 McLenaghan, Raymond G. 7 Zakhary, E. 4 Cyganowski, Sasha 4 Jefferson, G. F. 4 Van den Bergh, Norbert 3 Karimian, Hamid Reza 3 Lim, A. E. K. 3 Vu, Khai 2 Butcher, J. 2 Czapor, Stephanie R. 2 Devitt, John S. 2 Lozanovski, Con 1 Cooperstock, Fred I. 1 Fee, Greg J. 1 Huf, P. A. 1 Huf, Peter 1 Ibragimov, Ranis N. 1 Jefferson, Grace 1 Sarracino, R. S. 1 Scott, W. D. 1 Wainwright, John 1 Williams, George C. all top 5 Serials 12 Classical and Quantum Gravity 12 General Relativity and Gravitation 9 Journal of Mathematical Physics 6 Computer Physics Communications 4 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Symbolic Computation 1 Computers and Fluids 1 Journal of Physics A: Mathematical and General 1 Communications in Nonlinear Science and Numerical Simulation 1 Analysis and Mathematical Physics all top 5 Fields 33 Relativity and gravitational theory (83-XX) 16 Differential geometry (53-XX) 14 Partial differential equations (35-XX) 7 Computer science (68-XX) 7 Fluid mechanics (76-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Geophysics (86-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 316 times in 197 Documents Cited by ▼ Year ▼ FracSym: automated symbolic computation of Lie symmetries of fractional differential equations. Zbl 1344.35003Jefferson, G. F.; Carminati, J. 37 2014 Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space. Zbl 0736.76081Carminati, J.; McLenaghan, R. G. 37 1991 Symbolic computation and differential equations: Lie symmetries. Zbl 0958.68543Carminati, John; Vu, Khai 30 2000 Finding higher symmetries of differential equations using the MAPLE package DESOLVII. Zbl 1308.35002Vu, K. T.; Jefferson, G. F.; Carminati, J. 22 2012 An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. Zbl 0595.35067Carminati, J.; McLenaghan, R. G. 16 1986 An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. II: Petrov type D space-times. Zbl 0694.35074Carminati, J.; McLenaghan, R. G. 16 1987 A comparative study of some computer algebra packages which determine the Lie point symmetries of differential equations. Zbl 1196.65136Butcher, J.; Carminati, J.; Vu, K. T. 14 2003 ASP: automated symbolic computation of approximate symmetries of differential equations. Zbl 1306.65267Jefferson, G. F.; Carminati, J. 12 2013 Shear-free perfect fluids in general relativity. I. Petrov type N Weyl tensor. Zbl 0633.76132Carminati, J. 9 1987 An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. III: Petrov type III space-times. Zbl 0706.35131Carminati, J.; McLenaghan, R. G. 8 1988 The automatic conversion of spinor equations to dyad form in MAPLE. Zbl 0758.53047Czapor, S. R.; McLenaghan, R. G.; Carminati, J. 8 1992 On the problem of algebraic completeness for the invariants of the Riemann tensor. I. Zbl 1016.53018Zakhary, E.; Carminati, J. 8 2001 Similarity solutions of partial differential equations using DESOLV. Zbl 1196.35028Vu, K. T.; Butcher, J.; Carminati, J. 8 2007 Some new results on the validity of Huygens’ principle for the scalar wave equation on a curved space-time. Zbl 0557.53046Carminati, J.; McLenaghan, R. G. 6 1984 Shear-free perfect fluids in general relativity: Gravito-magnetic spacetimes. Zbl 0969.83010Cyganowski, Sasha; Carminati, John 6 2000 Shear-free perfect fluids with solenoidal magnetic curvature and a \(\gamma\)-law equation of state. Zbl 1128.83308van den Bergh, N.; Carminati, J.; Karimian, H. R. 6 2007 Consequences of the validity of Huygens’ principle for the conformally invariant scalar wave equation, Weyl’s neutrino equation and Maxwell’s equations on Petrov type II space-times. Zbl 0729.35075Carminati, J.; Czapor, S. R.; McLenaghan, R. G.; Williams, G. C. 5 1991 Shear-free perfect fluids in general relativity. II: Aligned, Petrov type III space times. Zbl 0850.76905Carminati, J. 5 1990 On the problem of algebraic completeness for the invariants of the Riemann tensor. II. Zbl 1052.53021Carminati, J.; Zakhary, E.; McLenaghan, R. G. 5 2002 Isogroups of differential equations using algebraic computing. Zbl 0796.35001Carminati, John; Devitt, John S.; Fee, Greg J. 5 1992 Purely magnetic locally rotationally symmetric spacetimes. Zbl 1018.83005Lozanovski, C.; Carminati, J. 4 2003 A new algorithm for the Segre classification of the trace-free Ricci tensor. Zbl 1065.83047Zakhary, E.; Carminati, J. 4 2004 Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state. Zbl 0657.53046Carminati, J. 4 1988 On the problem of algebraic completeness for the invariants of the Riemann tensor. III. Zbl 1060.53020Carminati, J.; Zakhary, E. 4 2002 The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants. Zbl 1068.53017Lim, A. E. K.; Carminati, J. 4 2004 Shear-free perfect fluids with a solenoidal magnetic curvature. Zbl 1178.83012Carminati, J.; Karimian, H. R.; van den Bergh, N.; Vu, K. T. 4 2009 Classification and compatibility of energy-momentum tensors. Zbl 0940.83014Carminati, J.; Zakhary, E. 3 1999 Shear-free perfect fluids in general relativity. III: Petrov type III spacetimes. Zbl 0854.76101Carminati, J.; Cyganowski, S. 3 1996 Shear-free perfect fluids in general relativity. IV: Petrov type III spacetimes. Zbl 0883.76097Carminati, J.; Cyganowski, S. 3 1997 The Maple package NPTOOLS; a symbolic algebra package for tetrad formalisms in general relativity. Zbl 1001.83002Cyganowski, Sasha; Carminati, John 3 1998 GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism. Zbl 0986.83028Carminati, J.; Vu, K. T. 2 2001 The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. II: Mixed invariants of even degree in the Ricci spinor. Zbl 1111.53014Carminati, J.; Lim, A. E. K. 2 2006 On an alignment condition of the Weyl tensor. Zbl 0996.83015Lozanovski, C.; Carminati, J. 2 2002 Gravitational-electrostatic balance in general relativity and its implications. Zbl 0742.35070Carminati, J.; Cooperstock, F. I. 2 1991 Explicit invariant solutions associated with nonlinear atmospheric flows in a thin rotating spherical shell with and without west-to-east jets perturbations. Zbl 1280.86009Ibragimov, Ranis; Jefferson, Grace; Carminati, John 2 2013 Perfect-fluid space-times with type-D Weyl tensor. Zbl 0564.53036Carminati, J.; Wainwright, J. 1 1985 The GHP II package with applications. Zbl 1016.83017Vu, Khai; Carminati, John 1 2003 Type D perfect-fluid spacetimes with a non-null electromagnetic field. I. Zbl 0702.53063Carminati, J. 1 1990 A new algorithm for the Petrov classification of the Weyl tensor. Zbl 1040.83038Zakhary, E.; Vu, K. T.; Carminati, J. 1 2003 On the non-uniqueness of solutions in the modelling of steady wind flows. Zbl 0826.76057Carminati, J.; Devitt, J. S.; Scott, W. D. 1 1995 Shear-free perfect fluids with a solenoidal electric curvature. Zbl 1242.83025Van den Bergh, Norbert; Carminati, John; Karimian, Hamid Reza; Huf, Peter 1 2012 Associate symmetries: a novel procedure for finding contact symmetries. Zbl 1470.35016Jefferson, G. F.; Carminati, J. 1 2014 FracSym: automated symbolic computation of Lie symmetries of fractional differential equations. Zbl 1344.35003Jefferson, G. F.; Carminati, J. 37 2014 Associate symmetries: a novel procedure for finding contact symmetries. Zbl 1470.35016Jefferson, G. F.; Carminati, J. 1 2014 ASP: automated symbolic computation of approximate symmetries of differential equations. Zbl 1306.65267Jefferson, G. F.; Carminati, J. 12 2013 Explicit invariant solutions associated with nonlinear atmospheric flows in a thin rotating spherical shell with and without west-to-east jets perturbations. Zbl 1280.86009Ibragimov, Ranis; Jefferson, Grace; Carminati, John 2 2013 Finding higher symmetries of differential equations using the MAPLE package DESOLVII. Zbl 1308.35002Vu, K. T.; Jefferson, G. F.; Carminati, J. 22 2012 Shear-free perfect fluids with a solenoidal electric curvature. Zbl 1242.83025Van den Bergh, Norbert; Carminati, John; Karimian, Hamid Reza; Huf, Peter 1 2012 Shear-free perfect fluids with a solenoidal magnetic curvature. Zbl 1178.83012Carminati, J.; Karimian, H. R.; van den Bergh, N.; Vu, K. T. 4 2009 Similarity solutions of partial differential equations using DESOLV. Zbl 1196.35028Vu, K. T.; Butcher, J.; Carminati, J. 8 2007 Shear-free perfect fluids with solenoidal magnetic curvature and a \(\gamma\)-law equation of state. Zbl 1128.83308van den Bergh, N.; Carminati, J.; Karimian, H. R. 6 2007 The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. II: Mixed invariants of even degree in the Ricci spinor. Zbl 1111.53014Carminati, J.; Lim, A. E. K. 2 2006 A new algorithm for the Segre classification of the trace-free Ricci tensor. Zbl 1065.83047Zakhary, E.; Carminati, J. 4 2004 The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants. Zbl 1068.53017Lim, A. E. K.; Carminati, J. 4 2004 A comparative study of some computer algebra packages which determine the Lie point symmetries of differential equations. Zbl 1196.65136Butcher, J.; Carminati, J.; Vu, K. T. 14 2003 Purely magnetic locally rotationally symmetric spacetimes. Zbl 1018.83005Lozanovski, C.; Carminati, J. 4 2003 The GHP II package with applications. Zbl 1016.83017Vu, Khai; Carminati, John 1 2003 A new algorithm for the Petrov classification of the Weyl tensor. Zbl 1040.83038Zakhary, E.; Vu, K. T.; Carminati, J. 1 2003 On the problem of algebraic completeness for the invariants of the Riemann tensor. II. Zbl 1052.53021Carminati, J.; Zakhary, E.; McLenaghan, R. G. 5 2002 On the problem of algebraic completeness for the invariants of the Riemann tensor. III. Zbl 1060.53020Carminati, J.; Zakhary, E. 4 2002 On an alignment condition of the Weyl tensor. Zbl 0996.83015Lozanovski, C.; Carminati, J. 2 2002 On the problem of algebraic completeness for the invariants of the Riemann tensor. I. Zbl 1016.53018Zakhary, E.; Carminati, J. 8 2001 GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism. Zbl 0986.83028Carminati, J.; Vu, K. T. 2 2001 Symbolic computation and differential equations: Lie symmetries. Zbl 0958.68543Carminati, John; Vu, Khai 30 2000 Shear-free perfect fluids in general relativity: Gravito-magnetic spacetimes. Zbl 0969.83010Cyganowski, Sasha; Carminati, John 6 2000 Classification and compatibility of energy-momentum tensors. Zbl 0940.83014Carminati, J.; Zakhary, E. 3 1999 The Maple package NPTOOLS; a symbolic algebra package for tetrad formalisms in general relativity. Zbl 1001.83002Cyganowski, Sasha; Carminati, John 3 1998 Shear-free perfect fluids in general relativity. IV: Petrov type III spacetimes. Zbl 0883.76097Carminati, J.; Cyganowski, S. 3 1997 Shear-free perfect fluids in general relativity. III: Petrov type III spacetimes. Zbl 0854.76101Carminati, J.; Cyganowski, S. 3 1996 On the non-uniqueness of solutions in the modelling of steady wind flows. Zbl 0826.76057Carminati, J.; Devitt, J. S.; Scott, W. D. 1 1995 The automatic conversion of spinor equations to dyad form in MAPLE. Zbl 0758.53047Czapor, S. R.; McLenaghan, R. G.; Carminati, J. 8 1992 Isogroups of differential equations using algebraic computing. Zbl 0796.35001Carminati, John; Devitt, John S.; Fee, Greg J. 5 1992 Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space. Zbl 0736.76081Carminati, J.; McLenaghan, R. G. 37 1991 Consequences of the validity of Huygens’ principle for the conformally invariant scalar wave equation, Weyl’s neutrino equation and Maxwell’s equations on Petrov type II space-times. Zbl 0729.35075Carminati, J.; Czapor, S. R.; McLenaghan, R. G.; Williams, G. C. 5 1991 Gravitational-electrostatic balance in general relativity and its implications. Zbl 0742.35070Carminati, J.; Cooperstock, F. I. 2 1991 Shear-free perfect fluids in general relativity. II: Aligned, Petrov type III space times. Zbl 0850.76905Carminati, J. 5 1990 Type D perfect-fluid spacetimes with a non-null electromagnetic field. I. Zbl 0702.53063Carminati, J. 1 1990 An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. III: Petrov type III space-times. Zbl 0706.35131Carminati, J.; McLenaghan, R. G. 8 1988 Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state. Zbl 0657.53046Carminati, J. 4 1988 An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. II: Petrov type D space-times. Zbl 0694.35074Carminati, J.; McLenaghan, R. G. 16 1987 Shear-free perfect fluids in general relativity. I. Petrov type N Weyl tensor. Zbl 0633.76132Carminati, J. 9 1987 An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. Zbl 0595.35067Carminati, J.; McLenaghan, R. G. 16 1986 Perfect-fluid space-times with type-D Weyl tensor. Zbl 0564.53036Carminati, J.; Wainwright, J. 1 1985 Some new results on the validity of Huygens’ principle for the scalar wave equation on a curved space-time. Zbl 0557.53046Carminati, J.; McLenaghan, R. G. 6 1984 all cited Publications top 5 cited Publications all top 5 Cited by 256 Authors 27 Carminati, John 15 McLenaghan, Raymond G. 9 Popovych, Roman O. 7 Bihlo, Alexander 6 Wünsch, Volkmar 5 Belinchón, José Antonio 5 Gupta, Rajesh Kumar 5 Jefferson, G. F. 5 Zhang, Zhiyong 4 Czapor, Stephanie R. 4 Dos Santos Cardoso-Bihlo, Elsa Maria 4 Ibragimov, Ranis N. 4 Jannelli, Alessandra 4 Kadkhoda, Nematollah 4 McNutt, David Duncan 4 Oberlack, Martin 4 Speciale, Maria Paola 4 Zakhary, E. 3 Anderson, Warren G. 3 Băleanu, Dumitru I. 3 Bîlă, Nicoleta Virginia 3 Glass, Edward N. 3 Krisch, Jean P. 3 Lim, A. E. K. 3 Ruggieri, Marianna 3 Sasse, Fernando D. 3 Singla, Komal 3 Sneddon, G. E. 3 Zheng, Jia 2 Bonanos, Sotirios 2 Brooks, Dario A. 2 Butcher, J. 2 Cheviakov, Alexei F. 2 Clarkson, Peter A. 2 Coley, Alan Albert 2 Collins, C. B. 2 Cyganowski, Sasha 2 Dastranj, Elham 2 Dorjgotov, Khongorzul 2 Eichhorn, Astrid 2 Ellis, George Francis Rayner 2 Gerdt, Vladimir Petrovich 2 Held, Aaron 2 Hill, James Murray 2 Huang, S.-L. Tracy 2 Jafari, Hossein 2 Kaur, Bikramjeet 2 Khujadze, George R. 2 Kumar, Rajesh S. 2 Li, Changzhao 2 Liu, Fawang 2 Lozanovski, Con 2 Lyakhov, Dmitry A. 2 Matthews, Miccal T. 2 Michels, Dominik Ludewig 2 Musoke, Nathan 2 Naeem, Imran 2 Niesen, Jitse 2 Nold, Andreas 2 Ochiai, Hiroyuki 2 Pan, Mingyang 2 Sadat, Rahma 2 Sahadevan, Ramajayam 2 Sophocleous, Christodoulos 2 Srivastava, Sudhir Kumar 2 Vu, Khai 2 Walton, T. F. 2 Wang, Zhenli 2 Williams, George C. 2 Woszczyna, Andrzej 2 Wylleman, Lode 2 Zhang, Lihua 2 Zhao, Zhonglong 2 Zheng, Liancun 2 Zhu, Huimin 2 Zunderiya, Uuganbayar 1 Aadne, Matthew Terje 1 Ahmed, Waheed A. 1 Akbulut, Arzu 1 Alawadhi, Rashid 1 Ali, Mohamed Reda 1 Aliyu, Aliyu Isa 1 Anderson, Ian M. 1 Antoine, Jean-Pierre 1 Baum, Helga 1 Beke, David 1 Belevich, M. 1 Belger, Martin 1 Berman, David S. 1 Bini, Donato 1 Bluman, George W. 1 Bratek, Łukasz 1 Busse, Friedrich Hermann 1 Cadoni, Mariano 1 Caister, Nicolette C. 1 Campoamor-Stursberg, Rutwig 1 Capozziello, Salvatore 1 Catalano Ferraioli, Diego 1 Chaolu, Temuer 1 Cherubini, Christian ...and 156 more Authors all top 5 Cited in 68 Serials 30 General Relativity and Gravitation 27 Journal of Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Physique Théorique 10 Communications in Nonlinear Science and Numerical Simulation 6 Computer Physics Communications 6 Nonlinear Dynamics 5 Journal of Symbolic Computation 4 Astrophysics and Space Science 4 Journal of Mathematical Analysis and Applications 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 4 Journal of High Energy Physics 3 Classical and Quantum Gravity 3 Zeitschrift für Analysis und ihre Anwendungen 3 Physica D 3 Mathematical Modelling of Natural Phenomena 2 International Journal of Modern Physics A 2 Acta Mechanica 2 Journal of Fluid Mechanics 2 Physica A 2 Theoretical and Computational Fluid Dynamics 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Acta Applicandae Mathematicae 2 International Journal of Modern Physics D 2 Journal of Cosmology and Astroparticle Physics 2 International Journal of Geometric Methods in Modern Physics 2 Waves in Random and Complex Media 2 Mathematics in Computer Science 2 Analysis and Mathematical Physics 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physics Letters. B 1 The Mathematical Intelligencer 1 Automatica 1 Journal of Pure and Applied Algebra 1 Annals of Global Analysis and Geometry 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physics of Fluids 1 Computational and Applied Mathematics 1 Fractals 1 Complexity 1 Mathematical Physics, Analysis and Geometry 1 Gravitation & Cosmology 1 International Journal of Modern Physics C 1 Journal of Nonlinear Mathematical Physics 1 Journal of Dynamical Systems and Geometric Theories 1 Boundary Value Problems 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 Journal of Pseudo-Differential Operators and Applications 1 Symmetry 1 Caspian Journal of Mathematical Sciences 1 Journal of Applied Analysis and Computation 1 Mathematics 1 International Journal of Applied and Computational Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics all top 5 Cited in 37 Fields 87 Partial differential equations (35-XX) 79 Relativity and gravitational theory (83-XX) 46 Differential geometry (53-XX) 38 Fluid mechanics (76-XX) 17 Ordinary differential equations (34-XX) 16 Computer science (68-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 8 Numerical analysis (65-XX) 8 Geophysics (86-XX) 6 Topological groups, Lie groups (22-XX) 6 Astronomy and astrophysics (85-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Real functions (26-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year