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 160 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, G. 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 43 Publications have been cited 366 times in 231 Documents Cited by ▼ Year ▼ Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space. Zbl 0736.76081 Carminati, J.; McLenaghan, R. G. 47 1991 FracSym: automated symbolic computation of Lie symmetries of fractional differential equations. Zbl 1344.35003 Jefferson, G. F.; Carminati, J. 43 2014 Symbolic computation and differential equations: Lie symmetries. Zbl 0958.68543 Carminati, John; Vu, Khai 39 2000 Finding higher symmetries of differential equations using the MAPLE package DESOLVII. Zbl 1308.35002 Vu, K. T.; Jefferson, G. F.; Carminati, J. 27 2012 An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. Zbl 0595.35067 Carminati, J.; McLenaghan, R. G. 17 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 0694.35074 Carminati, J.; McLenaghan, R. G. 16 1987 A comparative study of some computer algebra packages which determine the Lie point symmetries of differential equations. Zbl 1196.65136 Butcher, J.; Carminati, J.; Vu, K. T. 15 2003 ASP: automated symbolic computation of approximate symmetries of differential equations. Zbl 1306.65267 Jefferson, G. F.; Carminati, J. 13 2013 Shear-free perfect fluids in general relativity. I. Petrov type N Weyl tensor. Zbl 0633.76132 Carminati, J. 10 1987 The automatic conversion of spinor equations to dyad form in MAPLE. Zbl 0758.53047 Czapor, S. R.; McLenaghan, R. G.; Carminati, J. 9 1992 On the problem of algebraic completeness for the invariants of the Riemann tensor. I. Zbl 1016.53018 Zakhary, E.; Carminati, J. 9 2001 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 0706.35131 Carminati, J.; McLenaghan, R. G. 8 1988 Similarity solutions of partial differential equations using DESOLV. Zbl 1196.35028 Vu, K. T.; Butcher, J.; Carminati, J. 8 2007 Shear-free perfect fluids in general relativity: Gravito-magnetic spacetimes. Zbl 0969.83010 Cyganowski, Sasha; Carminati, John 7 2000 Shear-free perfect fluids with solenoidal magnetic curvature and a \(\gamma\)-law equation of state. Zbl 1128.83308 van den Bergh, N.; Carminati, J.; Karimian, H. R. 7 2007 Isogroups of differential equations using algebraic computing. Zbl 0796.35001 Carminati, John; Devitt, John S.; Fee, Greg J. 6 1992 Shear-free perfect fluids in general relativity. II: Aligned, Petrov type III space times. Zbl 0850.76905 Carminati, J. 6 1990 Some new results on the validity of Huygens’ principle for the scalar wave equation on a curved space-time. Zbl 0557.53046 Carminati, J.; McLenaghan, R. G. 6 1984 Shear-free perfect fluids in general relativity. III: Petrov type III spacetimes. Zbl 0854.76101 Carminati, J.; Cyganowski, S. 5 1996 Shear-free perfect fluids in general relativity. IV: Petrov type III spacetimes. Zbl 0883.76097 Carminati, J.; Cyganowski, S. 5 1997 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 0729.35075 Carminati, J.; Czapor, S. R.; McLenaghan, R. G.; Williams, G. C. 5 1991 Shear-free perfect fluids with a solenoidal magnetic curvature. Zbl 1178.83012 Carminati, J.; Karimian, H. R.; van den Bergh, N.; Vu, K. T. 5 2009 On the problem of algebraic completeness for the invariants of the Riemann tensor. II. Zbl 1052.53021 Carminati, J.; Zakhary, E.; McLenaghan, R. G. 5 2002 Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state. Zbl 0657.53046 Carminati, J. 4 1988 Purely magnetic locally rotationally symmetric spacetimes. Zbl 1018.83005 Lozanovski, C.; Carminati, J. 4 2003 A new algorithm for the Segre classification of the trace-free Ricci tensor. Zbl 1065.83047 Zakhary, E.; Carminati, J. 4 2004 On the problem of algebraic completeness for the invariants of the Riemann tensor. III. Zbl 1060.53020 Carminati, 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 1068.53017 Lim, A. E. K.; Carminati, J. 4 2004 The Maple package NPTOOLS; a symbolic algebra package for tetrad formalisms in general relativity. Zbl 1001.83002 Cyganowski, Sasha; Carminati, John 3 1998 Classification and compatibility of energy-momentum tensors. Zbl 0940.83014 Carminati, J.; Zakhary, E. 3 1999 Shear-free perfect fluids with a solenoidal electric curvature. Zbl 1242.83025 Van den Bergh, Norbert; Carminati, John; Karimian, Hamid Reza; Huf, Peter 3 2012 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 1111.53014 Carminati, J.; Lim, A. E. K. 3 2006 Gravitational-electrostatic balance in general relativity and its implications. Zbl 0742.35070 Carminati, J.; Cooperstock, F. I. 2 1991 GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism. Zbl 0986.83028 Carminati, J.; Vu, K. T. 2 2001 On an alignment condition of the Weyl tensor. Zbl 0996.83015 Lozanovski, C.; Carminati, J. 2 2002 Explicit invariant solutions associated with nonlinear atmospheric flows in a thin rotating spherical shell with and without west-to-east jets perturbations. Zbl 1280.86009 Ibragimov, Ranis; Jefferson, Grace; Carminati, John 2 2013 Perfect-fluid space-times with type-D Weyl tensor. Zbl 0564.53036 Carminati, J.; Wainwright, J. 2 1985 Shear-free perfect fluids with a \(\gamma\)-law equation of state. Zbl 1317.83022 Carminati, J. 1 2015 On the non-uniqueness of solutions in the modelling of steady wind flows. Zbl 0826.76057 Carminati, J.; Devitt, J. S.; Scott, W. D. 1 1995 Type D perfect-fluid spacetimes with a non-null electromagnetic field. I. Zbl 0702.53063 Carminati, J. 1 1990 The GHP II package with applications. Zbl 1016.83017 Vu, Khai; Carminati, John 1 2003 A new algorithm for the Petrov classification of the Weyl tensor. Zbl 1040.83038 Zakhary, E.; Vu, K. T.; Carminati, J. 1 2003 Associate symmetries: a novel procedure for finding contact symmetries. Zbl 1470.35016 Jefferson, G. F.; Carminati, J. 1 2014 Shear-free perfect fluids with a \(\gamma\)-law equation of state. Zbl 1317.83022 Carminati, J. 1 2015 FracSym: automated symbolic computation of Lie symmetries of fractional differential equations. Zbl 1344.35003 Jefferson, G. F.; Carminati, J. 43 2014 Associate symmetries: a novel procedure for finding contact symmetries. Zbl 1470.35016 Jefferson, G. F.; Carminati, J. 1 2014 ASP: automated symbolic computation of approximate symmetries of differential equations. Zbl 1306.65267 Jefferson, G. F.; Carminati, J. 13 2013 Explicit invariant solutions associated with nonlinear atmospheric flows in a thin rotating spherical shell with and without west-to-east jets perturbations. Zbl 1280.86009 Ibragimov, Ranis; Jefferson, Grace; Carminati, John 2 2013 Finding higher symmetries of differential equations using the MAPLE package DESOLVII. Zbl 1308.35002 Vu, K. T.; Jefferson, G. F.; Carminati, J. 27 2012 Shear-free perfect fluids with a solenoidal electric curvature. Zbl 1242.83025 Van den Bergh, Norbert; Carminati, John; Karimian, Hamid Reza; Huf, Peter 3 2012 Shear-free perfect fluids with a solenoidal magnetic curvature. Zbl 1178.83012 Carminati, J.; Karimian, H. R.; van den Bergh, N.; Vu, K. T. 5 2009 Similarity solutions of partial differential equations using DESOLV. Zbl 1196.35028 Vu, K. T.; Butcher, J.; Carminati, J. 8 2007 Shear-free perfect fluids with solenoidal magnetic curvature and a \(\gamma\)-law equation of state. Zbl 1128.83308 van den Bergh, N.; Carminati, J.; Karimian, H. R. 7 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 1111.53014 Carminati, J.; Lim, A. E. K. 3 2006 A new algorithm for the Segre classification of the trace-free Ricci tensor. Zbl 1065.83047 Zakhary, 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 1068.53017 Lim, 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 1196.65136 Butcher, J.; Carminati, J.; Vu, K. T. 15 2003 Purely magnetic locally rotationally symmetric spacetimes. Zbl 1018.83005 Lozanovski, C.; Carminati, J. 4 2003 The GHP II package with applications. Zbl 1016.83017 Vu, Khai; Carminati, John 1 2003 A new algorithm for the Petrov classification of the Weyl tensor. Zbl 1040.83038 Zakhary, E.; Vu, K. T.; Carminati, J. 1 2003 On the problem of algebraic completeness for the invariants of the Riemann tensor. II. Zbl 1052.53021 Carminati, J.; Zakhary, E.; McLenaghan, R. G. 5 2002 On the problem of algebraic completeness for the invariants of the Riemann tensor. III. Zbl 1060.53020 Carminati, J.; Zakhary, E. 4 2002 On an alignment condition of the Weyl tensor. Zbl 0996.83015 Lozanovski, C.; Carminati, J. 2 2002 On the problem of algebraic completeness for the invariants of the Riemann tensor. I. Zbl 1016.53018 Zakhary, E.; Carminati, J. 9 2001 GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism. Zbl 0986.83028 Carminati, J.; Vu, K. T. 2 2001 Symbolic computation and differential equations: Lie symmetries. Zbl 0958.68543 Carminati, John; Vu, Khai 39 2000 Shear-free perfect fluids in general relativity: Gravito-magnetic spacetimes. Zbl 0969.83010 Cyganowski, Sasha; Carminati, John 7 2000 Classification and compatibility of energy-momentum tensors. Zbl 0940.83014 Carminati, J.; Zakhary, E. 3 1999 The Maple package NPTOOLS; a symbolic algebra package for tetrad formalisms in general relativity. Zbl 1001.83002 Cyganowski, Sasha; Carminati, John 3 1998 Shear-free perfect fluids in general relativity. IV: Petrov type III spacetimes. Zbl 0883.76097 Carminati, J.; Cyganowski, S. 5 1997 Shear-free perfect fluids in general relativity. III: Petrov type III spacetimes. Zbl 0854.76101 Carminati, J.; Cyganowski, S. 5 1996 On the non-uniqueness of solutions in the modelling of steady wind flows. Zbl 0826.76057 Carminati, J.; Devitt, J. S.; Scott, W. D. 1 1995 The automatic conversion of spinor equations to dyad form in MAPLE. Zbl 0758.53047 Czapor, S. R.; McLenaghan, R. G.; Carminati, J. 9 1992 Isogroups of differential equations using algebraic computing. Zbl 0796.35001 Carminati, John; Devitt, John S.; Fee, Greg J. 6 1992 Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space. Zbl 0736.76081 Carminati, J.; McLenaghan, R. G. 47 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 0729.35075 Carminati, J.; Czapor, S. R.; McLenaghan, R. G.; Williams, G. C. 5 1991 Gravitational-electrostatic balance in general relativity and its implications. Zbl 0742.35070 Carminati, J.; Cooperstock, F. I. 2 1991 Shear-free perfect fluids in general relativity. II: Aligned, Petrov type III space times. Zbl 0850.76905 Carminati, J. 6 1990 Type D perfect-fluid spacetimes with a non-null electromagnetic field. I. Zbl 0702.53063 Carminati, 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 0706.35131 Carminati, J.; McLenaghan, R. G. 8 1988 Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state. Zbl 0657.53046 Carminati, 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 0694.35074 Carminati, J.; McLenaghan, R. G. 16 1987 Shear-free perfect fluids in general relativity. I. Petrov type N Weyl tensor. Zbl 0633.76132 Carminati, J. 10 1987 An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. Zbl 0595.35067 Carminati, J.; McLenaghan, R. G. 17 1986 Perfect-fluid space-times with type-D Weyl tensor. Zbl 0564.53036 Carminati, J.; Wainwright, J. 2 1985 Some new results on the validity of Huygens’ principle for the scalar wave equation on a curved space-time. Zbl 0557.53046 Carminati, J.; McLenaghan, R. G. 6 1984 all cited Publications top 5 cited Publications all top 5 Cited by 304 Authors 28 Carminati, John 15 McLenaghan, Raymond G. 12 Popovych, Roman O. 7 Bihlo, Alexander 6 Gupta, Rajesh Kumar 6 Wünsch, Volkmar 6 Zhang, Zhiyong 5 Belinchón, José Antonio 5 Jefferson, G. F. 5 Speciale, Maria Paola 4 Băleanu, Dumitru I. 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 Ruggieri, Marianna 4 Singla, Komal 4 Zakhary, E. 3 Anderson, Warren G. 3 Bîlă, Nicoleta Virginia 3 Clarkson, Peter A. 3 Cyganowski, Sasha 3 Gerdt, Vladimir Petrovich 3 Glass, Edward N. 3 Huang, S.-L. Tracy 3 Kaur, Bikramjeet 3 Krisch, Jean P. 3 Lim, A. E. K. 3 Lyakhov, Dmitry A. 3 Michels, Dominik Ludewig 3 Sasse, Fernando D. 3 Sneddon, G. E. 3 Zheng, Jia 2 Aliyu, Aliyu Isa 2 Bonanos, Sotirios 2 Boyko, Vyacheslav M. 2 Brooks, Dario A. 2 Butcher, J. 2 Cheviakov, Alexei F. 2 Coley, Alan Albert 2 Collins, C. B. 2 Dastranj, Elham 2 Dorjgotov, Khongorzul 2 Eichhorn, Astrid 2 Ellis, George Francis Rayner 2 Held, Aaron 2 Hill, James Murray 2 Inc, Mustafa 2 Jafari, Hossein 2 Khujadze, George R. 2 Kumar, Rajesh 2 Lake, Kayll 2 Li, Changzhao 2 Lisle, Ian G. 2 Liu, Fawang 2 Lozanovski, Con 2 Manssur, L. R. U. 2 Martín-García, José M. 2 Matthews, Miccal T. 2 Mohammadi, Zahra 2 Musoke, Nathan 2 Naeem, Imran 2 Naz, Rehana 2 Niesen, Jitse 2 Nold, Andreas 2 Ochiai, Hiroyuki 2 Pan, Mingyang 2 Portugal, R. D. 2 Reid, Gregory John 2 Rodal, José J. A. 2 Sadat, Rahma 2 Sahadevan, Ramajayam 2 Sophocleous, Christodoulos 2 Srivastava, Sudhir Kumar 2 Vinnichenko, Oleksandra O. 2 Vu, Khai 2 Walton, T. F. 2 Wang, Zhenli 2 Williams, G. C. 2 Woszczyna, Andrzej 2 Wylleman, Lode 2 Yusuf, Abdullahi A. 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 Al-deiakeh, Rawya 1 Alawadhi, Rashid 1 Ali, Mohamed Reda 1 Alquran, Marwan Taiseer 1 Anderson, Ian M. 1 Antoine, Jean-Pierre 1 Baum, Helga ...and 204 more Authors all top 5 Cited in 74 Serials 31 General Relativity and Gravitation 27 Journal of Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Physique Théorique 13 Communications in Nonlinear Science and Numerical Simulation 11 Computer Physics Communications 7 Classical and Quantum Gravity 6 Journal of Symbolic Computation 6 Nonlinear Dynamics 4 Astrophysics and Space Science 4 Journal of Mathematical Analysis and Applications 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 4 Physica D 4 Journal of High Energy Physics 3 Physics Letters. B 3 Zeitschrift für Analysis und ihre Anwendungen 3 International Journal of Geometric Methods in Modern Physics 3 Mathematical Modelling of Natural Phenomena 3 Analysis and Mathematical Physics 2 International Journal of Modern Physics A 2 Acta Mechanica 2 International Journal of Theoretical Physics 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 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 Studies in Applied Mathematics 2 Acta Applicandae Mathematicae 2 International Journal of Modern Physics D 2 Computational and Applied Mathematics 2 Journal of Nonlinear Mathematical Physics 2 Journal of Cosmology and Astroparticle Physics 2 Waves in Random and Complex Media 2 Mathematics in Computer Science 2 Journal of Applied Analysis and Computation 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Nonlinearity 1 Reports on Mathematical Physics 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 Annals of Physics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physics of Fluids 1 Fractals 1 Complexity 1 Mathematical Physics, Analysis and Geometry 1 Qualitative Theory of Dynamical Systems 1 Gravitation & Cosmology 1 International Journal of Modern Physics C 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 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Journal of Pseudo-Differential Operators and Applications 1 Symmetry 1 Caspian Journal of Mathematical Sciences 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 39 Fields 104 Partial differential equations (35-XX) 91 Relativity and gravitational theory (83-XX) 52 Differential geometry (53-XX) 39 Fluid mechanics (76-XX) 24 Computer science (68-XX) 22 Ordinary differential equations (34-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Quantum theory (81-XX) 12 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 8 Geophysics (86-XX) 7 Topological groups, Lie groups (22-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Astronomy and astrophysics (85-XX) 5 Real functions (26-XX) 4 Field theory and polynomials (12-XX) 4 Nonassociative rings and algebras (17-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-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 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year