Edit Profile (opens in new tab) Bihlo, Alexander Co-Author Distance Author ID: bihlo.alexander Published as: Bihlo, Alexander; Bihlo, A. Homepage: http://www.math.mun.ca/~abihlo/ Documents Indexed: 46 Publications since 2008, including 5 Additional arXiv Preprints Co-Authors: 25 Co-Authors with 43 Joint Publications 454 Co-Co-Authors all top 5 Co-Authors 3 single-authored 24 Popovych, Roman O. 6 Dos Santos Cardoso-Bihlo, Elsa Maria 5 Nave, Jean-Christophe 4 Haynes, Ronald D. 4 Opanasenko, Stanislav 3 MacLachlan, Scott P. 3 Wan, Andy T. S. 2 Bauer, Werner 2 Brecht, Rüdiger 2 Farquharson, Colin G. 2 Gay-Balmaz, François 2 Sergyeyev, Artur 2 Valiquette, Francis 1 Bluman, George Wallace 1 Coiteux-Roy, Xavier 1 Concepción Loredo-Osti, J. 1 Donzelli, Fabrizio 1 Kischinhevsky, Mauricio 1 Koval, Serhii D. 1 Poltavets, Nataliia 1 Staufer, Johannes 1 Szatmari, Simon 1 Vaneeva, Olena O. 1 Walsh, Emily J. 1 Winternitz, Pavel all top 5 Serials 6 Journal of Mathematical Physics 5 Physica D 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific Computing 1 Computers & Mathematics with Applications 1 Physics Letters. A 1 BIT 1 Studies in Applied Mathematics 1 European Journal of Applied Mathematics 1 Nonlinear Dynamics 1 Chaos 1 Journal of Mathematical Study 1 Computational Geosciences 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Communications in Theoretical Physics all top 5 Fields 22 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 15 Numerical analysis (65-XX) 8 Geophysics (86-XX) 6 Topological groups, Lie groups (22-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of particles and systems (70-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Group theory and generalizations (20-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 283 times in 131 Documents Cited by ▼ Year ▼ Complete group classification of a class of nonlinear wave equations. Zbl 1282.35020 Bihlo, Alexander; Dos Santos Cardoso-Bihlo, Elsa; Popovych, Roman O. 27 2012 Enhanced preliminary group classification of a class of generalized diffusion equations. Zbl 1222.35012 Dos Santos Cardoso-Bihlo, Elsa; Bihlo, Alexander; Popovych, Roman O. 24 2011 Symmetry preserving parameterization schemes. Zbl 1277.58021 Popovych, Roman O.; Bihlo, Alexander 24 2012 Group classification of linear evolution equations. Zbl 1368.35013 Bihlo, Alexander; Popovych, Roman O. 14 2017 Group analysis of general Burgers-Korteweg-de Vries equations. Zbl 1375.35457 Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O. 14 2017 Lie symmetries and exact solutions of the barotropic vorticity equation. Zbl 1272.86001 Bihlo, Alexander; Popovych, Roman O. 14 2009 Invariant discretization schemes for the shallow-water equations. Zbl 1263.76056 Bihlo, Alexander; Popovych, Roman O. 14 2012 The multiplier method to construct conservative finite difference schemes for ordinary and partial differential equations. Zbl 1337.65098 Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe 13 2016 Conservative methods for dynamical systems. Zbl 1375.65104 Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe 10 2017 Lie symmetries of two-dimensional shallow water equations with variable bottom topography. Zbl 1445.35279 Bihlo, Alexander; Poltavets, Nataliia; Popovych, Roman O. 10 2020 Symmetry analysis of a system of modified shallow-water equations. Zbl 1470.76022 Szatmari, Simon; Bihlo, Alexander 10 2014 Point symmetry group of the barotropic vorticity equation. Zbl 1234.35014 Bihlo, Alexander; Popovych, Roman O. 8 2011 Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations. Zbl 1453.35011 Vaneeva, Olena O.; Bihlo, Alexander; Popovych, Roman O. 8 2020 Parallel stochastic methods for PDE based grid generation. Zbl 1362.65135 Bihlo, Alexander; Haynes, Ronald D. 7 2014 Symmetry-preserving numerical schemes. Zbl 1373.65053 Bihlo, Alexander; Valiquette, Francis 7 2017 Rayleigh-Bénard convection as a Nambu-metriplectic problem. Zbl 1388.76011 Bihlo, A. 6 2008 Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures. Zbl 1216.37027 Bihlo, Alexander; Staufer, Johannes 5 2011 The Korteweg-de Vries equation and its symmetry-preserving discretization. Zbl 1319.35214 Bihlo, Alexander; Coiteux-Roy, Xavier; Winternitz, Pavel 5 2015 Lie symmetry analysis and exact solutions of the quasigeostrophic two-layer problem. Zbl 1315.86001 Bihlo, Alexander; Popovych, Roman O. 5 2011 Inverse problem on conservation laws. Zbl 1453.35192 Popovych, Roman O.; Bihlo, Alexander 5 2020 Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations. Zbl 1447.35020 Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O. 5 2020 Invariant meshless discretization schemes. Zbl 1263.65079 Bihlo, Alexander 5 2013 Invariant parameterization and turbulence modeling on the beta-plane. Zbl 1302.76078 Bihlo, Alexander; Dos Santos Cardoso-Bihlo, Elsa; Popovych, Roman O. 5 2014 Symmetry analysis of barotropic potential vorticity equation. Zbl 1182.76937 Bihlo, Alexander; Popovych, Roman O. 4 2009 Convecting reference frames and invariant numerical models. Zbl 1349.76435 Bihlo, Alexander; Nave, Jean-Christophe 4 2014 Invariant discretization schemes using evolution-projection techniques. Zbl 1288.65118 Bihlo, Alexander; Nave, Jean-Christophe 4 2013 Stochastic domain decomposition for time dependent adaptive mesh generation. Zbl 1349.65534 Bihlo, Alexander; Haynes, Ronald D.; Walsh, Emily J. 3 2015 Zeroth-order conservation laws of two-dimensional shallow water equations with variable bottom topography. Zbl 1454.76018 Bihlo, Alexander; Popovych, Roman O. 3 2020 Conservative integrators for many-body problems. Zbl 07561092 Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe 3 2022 Lie reduction and exact solutions of vorticity equation on rotating sphere. Zbl 1255.86005 Bihlo, Alexander; Popovych, Roman O. 3 2012 Conservative parameterization schemes. Zbl 1285.86003 Bihlo, Alexander; Bluman, George 3 2013 Symmetry justification of Lorenz’ maximum simplification. Zbl 1204.37026 Bihlo, Alexander; Popovych, Roman O. 2 2010 Symmetry-preserving finite element schemes: an introductory investigation. Zbl 1436.65092 Bihlo, Alexander; Valiquette, Francis 2 2019 Differential invariants for a class of diffusion equations. Zbl 1438.35007 Dos Santos Cardoso-Bihlo, E.; Bihlo, A.; Popovych, R. O. 2 2019 Well-balanced mesh-based and meshless schemes for the shallow-water equations. Zbl 1403.65038 Bihlo, Alexander; MacLachlan, Scott 2 2018 Extended symmetry analysis of an isothermal no-slip drift flux model. Zbl 1453.76186 Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O.; Sergyeyev, Artur 2 2020 Probabilistic domain decomposition for the solution of the two-dimensional magnetotelluric problem. Zbl 1387.86030 Bihlo, Alexander; Farquharson, Colin G.; Haynes, Ronald D.; Concepción Loredo-Osti, J. 1 2017 Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model. Zbl 1486.35014 Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O.; Sergyeyev, Artur 1 2020 Extended symmetry analysis of remarkable (1+2)-dimensional Fokker-Planck equation. Zbl 1522.35023 Koval, Serhii D.; Bihlo, Alexander; Popovych, Roman O. 1 2023 Extended symmetry analysis of remarkable (1+2)-dimensional Fokker-Planck equation. Zbl 1522.35023 Koval, Serhii D.; Bihlo, Alexander; Popovych, Roman O. 1 2023 Conservative integrators for many-body problems. Zbl 07561092 Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe 3 2022 Lie symmetries of two-dimensional shallow water equations with variable bottom topography. Zbl 1445.35279 Bihlo, Alexander; Poltavets, Nataliia; Popovych, Roman O. 10 2020 Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations. Zbl 1453.35011 Vaneeva, Olena O.; Bihlo, Alexander; Popovych, Roman O. 8 2020 Inverse problem on conservation laws. Zbl 1453.35192 Popovych, Roman O.; Bihlo, Alexander 5 2020 Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations. Zbl 1447.35020 Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O. 5 2020 Zeroth-order conservation laws of two-dimensional shallow water equations with variable bottom topography. Zbl 1454.76018 Bihlo, Alexander; Popovych, Roman O. 3 2020 Extended symmetry analysis of an isothermal no-slip drift flux model. Zbl 1453.76186 Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O.; Sergyeyev, Artur 2 2020 Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model. Zbl 1486.35014 Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O.; Sergyeyev, Artur 1 2020 Symmetry-preserving finite element schemes: an introductory investigation. Zbl 1436.65092 Bihlo, Alexander; Valiquette, Francis 2 2019 Differential invariants for a class of diffusion equations. Zbl 1438.35007 Dos Santos Cardoso-Bihlo, E.; Bihlo, A.; Popovych, R. O. 2 2019 Well-balanced mesh-based and meshless schemes for the shallow-water equations. Zbl 1403.65038 Bihlo, Alexander; MacLachlan, Scott 2 2018 Group classification of linear evolution equations. Zbl 1368.35013 Bihlo, Alexander; Popovych, Roman O. 14 2017 Group analysis of general Burgers-Korteweg-de Vries equations. Zbl 1375.35457 Opanasenko, Stanislav; Bihlo, Alexander; Popovych, Roman O. 14 2017 Conservative methods for dynamical systems. Zbl 1375.65104 Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe 10 2017 Symmetry-preserving numerical schemes. Zbl 1373.65053 Bihlo, Alexander; Valiquette, Francis 7 2017 Probabilistic domain decomposition for the solution of the two-dimensional magnetotelluric problem. Zbl 1387.86030 Bihlo, Alexander; Farquharson, Colin G.; Haynes, Ronald D.; Concepción Loredo-Osti, J. 1 2017 The multiplier method to construct conservative finite difference schemes for ordinary and partial differential equations. Zbl 1337.65098 Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe 13 2016 The Korteweg-de Vries equation and its symmetry-preserving discretization. Zbl 1319.35214 Bihlo, Alexander; Coiteux-Roy, Xavier; Winternitz, Pavel 5 2015 Stochastic domain decomposition for time dependent adaptive mesh generation. Zbl 1349.65534 Bihlo, Alexander; Haynes, Ronald D.; Walsh, Emily J. 3 2015 Symmetry analysis of a system of modified shallow-water equations. Zbl 1470.76022 Szatmari, Simon; Bihlo, Alexander 10 2014 Parallel stochastic methods for PDE based grid generation. Zbl 1362.65135 Bihlo, Alexander; Haynes, Ronald D. 7 2014 Invariant parameterization and turbulence modeling on the beta-plane. Zbl 1302.76078 Bihlo, Alexander; Dos Santos Cardoso-Bihlo, Elsa; Popovych, Roman O. 5 2014 Convecting reference frames and invariant numerical models. Zbl 1349.76435 Bihlo, Alexander; Nave, Jean-Christophe 4 2014 Invariant meshless discretization schemes. Zbl 1263.65079 Bihlo, Alexander 5 2013 Invariant discretization schemes using evolution-projection techniques. Zbl 1288.65118 Bihlo, Alexander; Nave, Jean-Christophe 4 2013 Conservative parameterization schemes. Zbl 1285.86003 Bihlo, Alexander; Bluman, George 3 2013 Complete group classification of a class of nonlinear wave equations. Zbl 1282.35020 Bihlo, Alexander; Dos Santos Cardoso-Bihlo, Elsa; Popovych, Roman O. 27 2012 Symmetry preserving parameterization schemes. Zbl 1277.58021 Popovych, Roman O.; Bihlo, Alexander 24 2012 Invariant discretization schemes for the shallow-water equations. Zbl 1263.76056 Bihlo, Alexander; Popovych, Roman O. 14 2012 Lie reduction and exact solutions of vorticity equation on rotating sphere. Zbl 1255.86005 Bihlo, Alexander; Popovych, Roman O. 3 2012 Enhanced preliminary group classification of a class of generalized diffusion equations. Zbl 1222.35012 Dos Santos Cardoso-Bihlo, Elsa; Bihlo, Alexander; Popovych, Roman O. 24 2011 Point symmetry group of the barotropic vorticity equation. Zbl 1234.35014 Bihlo, Alexander; Popovych, Roman O. 8 2011 Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures. Zbl 1216.37027 Bihlo, Alexander; Staufer, Johannes 5 2011 Lie symmetry analysis and exact solutions of the quasigeostrophic two-layer problem. Zbl 1315.86001 Bihlo, Alexander; Popovych, Roman O. 5 2011 Symmetry justification of Lorenz’ maximum simplification. Zbl 1204.37026 Bihlo, Alexander; Popovych, Roman O. 2 2010 Lie symmetries and exact solutions of the barotropic vorticity equation. Zbl 1272.86001 Bihlo, Alexander; Popovych, Roman O. 14 2009 Symmetry analysis of barotropic potential vorticity equation. Zbl 1182.76937 Bihlo, Alexander; Popovych, Roman O. 4 2009 Rayleigh-Bénard convection as a Nambu-metriplectic problem. Zbl 1388.76011 Bihlo, A. 6 2008 all cited Publications top 5 cited Publications all top 5 Cited by 155 Authors 31 Popovych, Roman O. 24 Bihlo, Alexander 9 Meleshko, Sergey V. 9 Vaneeva, Olena O. 7 Sophocleous, Christodoulos 6 Haynes, Ronald D. 6 Opanasenko, Stanislav 5 Dorodnitsyn, Vladimir A. 5 Dos Santos Cardoso-Bihlo, Elsa Maria 5 Nave, Jean-Christophe 5 Paliathanasis, Andronikos 5 Sergyeyev, Artur 5 Valiquette, Francis 5 Wan, Andy T. S. 4 Boyko, Vyacheslav M. 4 Cheviakov, Alexei F. 3 Bihlo, Alex 3 Kaptsov, Evgeniy I. 3 Levi, Decio 3 Wang, Gangwei 2 Basarab-Horwath, Peter 2 Bozhkov, Yuri Dimitrov 2 Dimas, Stylianos 2 Frasca-Caccia, Gianluca 2 Frewer, Michael 2 Gluhovsky, Alexander 2 Jackaman, James 2 Jamal, Sameerah 2 Kara, Abdul Hamid 2 Khujadze, George R. 2 Kontogiorgis, Stavros 2 Koval, Serhii D. 2 Kurujyibwami, Célestin 2 Moyo, Sibusiso 2 Pocheketa, Oleksandr A. 2 Satapathy, Purnima 2 Sekhar, T. Raja 2 Siriwat, Piyanuch 2 Thomova, Zora 2 Winternitz, Pavel 2 Yuryk, Ivan I. 2 Zhalij, Alexander 1 Arora, Rajan 1 Bakhshandeh-Chamazkoti, Rohollah 1 Bernal, Francisco 1 Bhumkar, Yogesh G. 1 Blender, Richard 1 Bluman, George Wallace 1 Braginets, Oksana 1 Brazda, Katharina 1 Cardone, Angelamaria 1 Chauhan, Antim 1 Clark, Antwan D. 1 Concepción Loredo-Osti, J. 1 Conte, Dajana 1 Deng, Gao-Fu 1 DiPietro, Kelsey L. 1 dos Reis, Gonçalo 1 Esen, Oğul 1 Farquharson, Colin G. 1 Freire, Igor Leite 1 Gao, Jianwei 1 Gao, Xinyi 1 Gao, Yitian 1 Ghose Choudhury, Anindya 1 Gormezano, Cem 1 Govekar, Sweta 1 Grady, Kevin 1 Grigor’ev, Yu. N. 1 Grundland, Alfred Michel 1 Gu, Haicheng 1 Guan, Fei 1 Guha, Partha 1 Güngör, Faruk 1 Guo, Yujun 1 Hantel, M. 1 Hariton, Alexander J. 1 Hirani, Anil N. 1 Holba, Pavel 1 Huang, Dingjiang 1 Huang, Fei 1 Huang, Weizhang 1 Hydon, Peter Ellsworth 1 Ivanova, Nataliya M. 1 Jahandari, Hormoz 1 Jia, Man 1 Johnpillai, Andrew Gratien 1 Kaewmanee, Chompit 1 Kaptsov, Evgenii I. 1 Kumar Pradhan, Pabitra 1 Kunzinger, Michael 1 Kwok, Felix 1 Lamaakel, Oumaima 1 Leach, Peter Gavin Lawrence 1 Lee, Caylin 1 Lindsay, Alan E. 1 Liu, Chang 1 Lokaziuk, Oleksandra V. 1 Lou, Senyue 1 Lucarini, Valerio ...and 55 more Authors all top 5 Cited in 55 Serials 13 Journal of Mathematical Physics 12 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Mathematical Analysis and Applications 7 Journal of Computational Physics 6 Physica D 5 Mathematical Methods in the Applied Sciences 4 Applied Mathematics Letters 4 European Journal of Applied Mathematics 4 Journal of Physics A: Mathematical and Theoretical 3 Applied Mathematics and Computation 3 Studies in Applied Mathematics 3 Analysis and Mathematical Physics 2 Computers & Mathematics with Applications 2 Journal of Engineering Mathematics 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Quaestiones Mathematicae 2 SIAM Journal on Numerical Analysis 2 Acta Applicandae Mathematicae 2 Chaos 2 Computational Geosciences 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Journal of Computational Dynamics 2 International Journal of Applied and Computational Mathematics 1 Computers and Fluids 1 Geophysical and Astrophysical Fluid Dynamics 1 Nuclear Physics. B 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Results in Mathematics 1 Ricerche di Matematica 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Applied Mathematical Modelling 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Advances in Computational Mathematics 1 Complexity 1 Journal of Difference Equations and Applications 1 Abstract and Applied Analysis 1 Journal of Applied Mechanics and Technical Physics 1 Fractional Calculus & Applied Analysis 1 Mathematical Modelling and Analysis 1 Theoretical and Applied Mechanics 1 Waves in Random and Complex Media 1 Journal of Mathematical Physics, Analysis, Geometry 1 Proyecciones 1 Algorithms 1 Communications in Mathematics all top 5 Cited in 25 Fields 79 Partial differential equations (35-XX) 40 Fluid mechanics (76-XX) 28 Numerical analysis (65-XX) 26 Dynamical systems and ergodic theory (37-XX) 10 Geophysics (86-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Topological groups, Lie groups (22-XX) 7 Nonassociative rings and algebras (17-XX) 7 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 3 Optics, electromagnetic theory (78-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-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