Alex Bihlo

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Roman O. PopovychSilesian University in Opava, Czech Republic; Institute of Mathematics, NAS of UkraineVerified email at math.slu.cz
Elsa Cardoso-BihloAssistant ProfessorVerified email at mun.ca
Stanislav OpanasenkoInstituto Nazionale di Fisica NucleareVerified email at le.infn.it
Ronald D. HaynesProfessor of Mathematics, Memorial University of Newfoundland and LabradorVerified email at mun.ca
Scott MacLachlanProfessor, Memorial University of NewfoundlandVerified email at mun.ca
Andy WanUniversity of California MercedVerified email at ucmerced.edu
Olena VaneevaLeading Researcher, Institute of Mathematics of NAS of UkraineVerified email at imath.kiev.ua
François Gay-BalmazNanyang Technological UniversityVerified email at ntu.edu.sg
Werner BauerUniversity of SurreyVerified email at surrey.ac.uk
Artur SergyeyevProfessor at Mathematical Institute of Silesian University in Opava, Czech RepublicVerified email at math.slu.cz
Andreas StohlUniversity of ViennaVerified email at univie.ac.at
James JackamanNorwegian University of Science and Technology (NTNU)Verified email at ntnu.no
Khouider B*Professor of Mathematics and Statistics, University of VictoriaVerified email at uvic.ca
Colin G. FarquharsonProfessor, Department of Earth Sciences, Memorial University of NewfoundlandVerified email at mun.ca
Dmytro R. PopovychJunior Researcher, Institute of Mathematics, NAS of UkraineVerified email at imath.kiev.ua
Shivam AroraPostdoctral Scientist, Memorial University of NewfoundlandVerified email at mun.ca
Serhii KovalMemorial University of Newfoundland, Canada; Institute of Mathematics NAS of UkraineVerified email at mun.ca
Jörn BehrensProfessor for numerical methods in geosciences, University of HamburgVerified email at uni-hamburg.de
george blumanprofessor emeritus of mathematics, university of british columbiaVerified email at math.ubc.ca
Xavier Coiteux-RoyTechnische Universität MünchenVerified email at tum.de

Alex Bihlo

Department of Mathematics and Statistics, Memorial University of Newfoundland

Verified email at mun.ca - Homepage

Numerical Analysis Fluid dynamics Machine Learning Meteorology


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Physics-informed neural networks for the shallow-water equations on the sphere A Bihlo, RO Popovych Journal of Computational Physics 456, 111024, 2022	97	2022
Symmetry preserving parameterization schemes RO Popovych, A Bihlo Journal of mathematical physics 53 (7), 2012	83	2012
A generative adversarial network approach to (ensemble) weather prediction A Bihlo Neural Networks 139, 1-16, 2021	82	2021
Complete group classification of a class of nonlinear wave equations A Bihlo, E Dos Santos Cardoso-Bihlo, RO Popovych Journal of mathematical physics 53 (12), 2012	81	2012
Enhanced preliminary group classification of a class of generalized diffusion equations EDS Cardoso-Bihlo, A Bihlo, RO Popovych Communications in Nonlinear Science and Numerical Simulation 16 (9), 3622-3638, 2011	53	2011
Group analysis of general Burgers–Korteweg–de Vries equations S Opanasenko, A Bihlo, RO Popovych Journal of Mathematical Physics 58 (8), 2017	47	2017
Invariant discretization schemes for the shallow-water equations A Bihlo, RO Popovych SIAM Journal on Scientific Computing 34 (6), B810-B839, 2012	46	2012
Group classification of linear evolution equations A Bihlo, RO Popovych Journal of mathematical analysis and applications 448 (2), 982-1005, 2017	40	2017
Lie symmetries and exact solutions of the barotropic vorticity equation A Bihlo, RO Popovych Journal of mathematical physics 50 (12), 2009	40	2009
The multiplier method to construct conservative finite difference schemes for ordinary and partial differential equations ATS Wan, A Bihlo, JC Nave SIAM Journal on Numerical Analysis 54 (1), 86-119, 2016	37	2016
Symmetry analysis of a system of modified shallow-water equations S Szatmari, A Bihlo Communications in Nonlinear Science and Numerical Simulation 19 (3), 530-537, 2014	32	2014
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations OO Vaneeva, A Bihlo, RO Popovych Communications in Nonlinear Science and Numerical Simulation 91, 105419, 2020	31	2020
Conservative methods for dynamical systems ATS Wan, A Bihlo, JC Nave SIAM Journal on Numerical Analysis 55 (5), 2255-2285, 2017	31	2017
Lie symmetries of two-dimensional shallow water equations with variable bottom topography A Bihlo, N Poltavets, RO Popovych Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (7), 2020	30	2020
Rayleigh–Bénard convection as a Nambu-metriplectic problem A Bihlo Journal of Physics A: Mathematical and Theoretical 41 (29), 292001, 2008	30	2008
Symmetry-preserving numerical schemes A Bihlo, F Valiquette Symmetries and Integrability of Difference Equations: Lecture Notes of the …, 2017	29	2017
Point symmetry group of the barotropic vorticity equation A Bihlo, RO Popovych arXiv preprint arXiv:1009.1523, 2010	29	2010
Lie symmetry analysis and exact solutions of the quasigeostrophic two-layer problem A Bihlo, RO Popovych Journal of Mathematical Physics 52 (3), 2011	27	2011
Variational integrator for the rotating shallow‐water equations on the sphere R Brecht, W Bauer, A Bihlo, F Gay‐Balmaz, S MacLachlan Quarterly Journal of the Royal Meteorological Society 145 (720), 1070-1088, 2019	22	2019
Algebraic method for finding equivalence groups A Bihlo, EDS Cardoso-Bihlo, RO Popovych Journal of Physics: Conference Series 621 (1), 012001, 2015	22	2015

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