Edit Profile (opens in new tab) Skiba, Yuri N. Co-Author Distance Author ID: skiba.yuri-n Published as: Skiba, Yuri N.; Skiba, Yu. N. Documents Indexed: 40 Publications since 1983, including 1 Book Co-Authors: 11 Co-Authors with 24 Joint Publications 195 Co-Co-Authors all top 5 Co-Authors 16 single-authored 8 Filatov, Denis M. 6 Parra-Guevara, David 3 Cruz-Rodríguez, Roberto Carlos 3 Pérez-García, Ismael 2 Dymnikov, Valentin Pavlovich 2 Strelkov, Andrei Y. 1 Adem, Julián 1 Arellano, F. N. 1 Kuzin, Victor I. 1 Marchuk, Guriĭ Ivanovich 1 Pérez-Sesma, A. all top 5 Serials 7 International Journal of Applied Mathematics 6 Numerical Methods for Partial Differential Equations 3 Journal of Mathematical Analysis and Applications 3 International Journal of Mathematics, Game Theory and Algebra 3 Communications in Mathematical Analysis 2 Soviet Journal of Numerical Analysis and Mathematical Modelling 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Vychislitel’nye Protsessy i Sistemy 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of Mathematical Fluid Mechanics 1 Miscelánea Matemática 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 30 Fluid mechanics (76-XX) 11 Partial differential equations (35-XX) 11 Numerical analysis (65-XX) 11 Geophysics (86-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Systems theory; control (93-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 69 times in 37 Documents Cited by ▼ Year ▼ Mathematical problems of the dynamics of incompressible fluid on a rotating sphere. Zbl 1391.76003 Skiba, Yuri N. 10 2017 On the spectral problem in the linear stability study of flows on a sphere. Zbl 1063.76023 Skiba, Yuri N. 7 2002 Spectral approximation in the numerical stability study of nondivergent viscous flows on a sphere. Zbl 0903.76074 Skiba, Yuri N. 7 1998 On the linear stability study of zonal incompressible flows on a sphere. Zbl 0933.76027 Skiba, Yuri N.; Adem, Julián 6 1998 Conservative arbitrary order finite difference schemes for shallow-water flows. Zbl 1225.76216 Skiba, Yuri N.; Filatov, Denis M. 5 2008 On optimal solution of an inverse air pollution problem: theory and numerical approach. Zbl 1139.49037 Parra-Guevara, David; Skiba, Yuri N. 4 2006 On splitting-based mass and total energy conserving arbitrary order shallow-water schemes. Zbl 1112.76052 Skiba, Yuri N.; Filatov, Denis M. 4 2007 Instability of the Rossby-Haurwitz wave in the invariant sets of perturbations. Zbl 1221.76090 Skiba, Yu. N. 3 2004 On Liapunov and exponential stability of Rossby-Haurwitz waves in invariant sets of perturbations. Zbl 1443.76240 Skiba, Yuri N. 3 2018 Lyapunov instability of the Rossby-Haurwitz waves and dipole modons. Zbl 0819.76030 Skiba, Yu. N. 3 1991 Barotropic instability of zonally asymmetric atmospheric flows over topography. Zbl 0825.76699 Dymnikov, V. P.; Skiba, Yu. N. 3 1987 On the existence and uniqueness of solution to problems of fluid dynamics on a sphere. Zbl 1233.35169 Skiba, Yuri N. 3 2012 Spectral structure of growing normal modes for exact solutions to the barotropic vorticity equation on a sphere. Zbl 1064.76534 Skiba, Yuri N.; Strelkov, Andrei Y. 2 2001 Linear instability of ideal flows on a sphere. Zbl 1154.76342 Skiba, Yuri N. 2 2009 An implicit direct unconditionally stable numerical algorithm for the solution of advection-diffusion equation on a sphere. Zbl 1477.65144 Cruz-Rodríguez, Roberto C.; Skiba, Yuri N.; Filatov, Denis M. 2 2019 Linear instability conditions for steady waves in ideal incompressible fluid on a rotating sphere. Zbl 1072.76546 Skiba, Yuri N.; Strelkov, Andrei Y. 1 2000 Splitting-based schemes for numerical solution of nonlinear diffusion equations on a sphere. Zbl 1288.65126 Skiba, Yuri N.; Filatov, Denis M. 1 2013 On the structure and growth rate of unstable modes to the Rossby-Haurwitz wave. Zbl 1141.76391 Skiba, Yuri N.; Pérez-García, Ismael 1 2005 On an efficient splitting-based method for solving the diffusion equation on a sphere. Zbl 1251.65124 Skiba, Yuri N.; Filatov, Denis M. 1 2012 Barotropic instability of zonal-asymmetric atmospheric flows. Zbl 0676.76024 Dymnikov, V. P.; Skiba, Yu. N. 1 1986 An implicit direct unconditionally stable numerical algorithm for the solution of advection-diffusion equation on a sphere. Zbl 1477.65144 Cruz-Rodríguez, Roberto C.; Skiba, Yuri N.; Filatov, Denis M. 2 2019 On Liapunov and exponential stability of Rossby-Haurwitz waves in invariant sets of perturbations. Zbl 1443.76240 Skiba, Yuri N. 3 2018 Mathematical problems of the dynamics of incompressible fluid on a rotating sphere. Zbl 1391.76003 Skiba, Yuri N. 10 2017 Splitting-based schemes for numerical solution of nonlinear diffusion equations on a sphere. Zbl 1288.65126 Skiba, Yuri N.; Filatov, Denis M. 1 2013 On the existence and uniqueness of solution to problems of fluid dynamics on a sphere. Zbl 1233.35169 Skiba, Yuri N. 3 2012 On an efficient splitting-based method for solving the diffusion equation on a sphere. Zbl 1251.65124 Skiba, Yuri N.; Filatov, Denis M. 1 2012 Linear instability of ideal flows on a sphere. Zbl 1154.76342 Skiba, Yuri N. 2 2009 Conservative arbitrary order finite difference schemes for shallow-water flows. Zbl 1225.76216 Skiba, Yuri N.; Filatov, Denis M. 5 2008 On splitting-based mass and total energy conserving arbitrary order shallow-water schemes. Zbl 1112.76052 Skiba, Yuri N.; Filatov, Denis M. 4 2007 On optimal solution of an inverse air pollution problem: theory and numerical approach. Zbl 1139.49037 Parra-Guevara, David; Skiba, Yuri N. 4 2006 On the structure and growth rate of unstable modes to the Rossby-Haurwitz wave. Zbl 1141.76391 Skiba, Yuri N.; Pérez-García, Ismael 1 2005 Instability of the Rossby-Haurwitz wave in the invariant sets of perturbations. Zbl 1221.76090 Skiba, Yu. N. 3 2004 On the spectral problem in the linear stability study of flows on a sphere. Zbl 1063.76023 Skiba, Yuri N. 7 2002 Spectral structure of growing normal modes for exact solutions to the barotropic vorticity equation on a sphere. Zbl 1064.76534 Skiba, Yuri N.; Strelkov, Andrei Y. 2 2001 Linear instability conditions for steady waves in ideal incompressible fluid on a rotating sphere. Zbl 1072.76546 Skiba, Yuri N.; Strelkov, Andrei Y. 1 2000 Spectral approximation in the numerical stability study of nondivergent viscous flows on a sphere. Zbl 0903.76074 Skiba, Yuri N. 7 1998 On the linear stability study of zonal incompressible flows on a sphere. Zbl 0933.76027 Skiba, Yuri N.; Adem, Julián 6 1998 Lyapunov instability of the Rossby-Haurwitz waves and dipole modons. Zbl 0819.76030 Skiba, Yu. N. 3 1991 Barotropic instability of zonally asymmetric atmospheric flows over topography. Zbl 0825.76699 Dymnikov, V. P.; Skiba, Yu. N. 3 1987 Barotropic instability of zonal-asymmetric atmospheric flows. Zbl 0676.76024 Dymnikov, V. P.; Skiba, Yu. N. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 38 Authors 14 Skiba, Yuri N. 6 Filatov, Denis M. 2 Benner, Peter 2 Yücel, Hamdullah 1 Alvarez-Vázquez, Lino Jose 1 Behera, Ratikanta 1 Benn, James 1 Constantin, Adrian 1 Constantin, Olivia 1 Cruz-Rodríguez, Roberto Carlos 1 Dong, Leanne 1 Effati, Sohrab 1 Farahi, Mohammad Hadi 1 García-Chan, Néstor 1 Germain, Pierre 1 Gladkiĭ, Alekseĭ Vsevolodovich 1 Gooran, Orimi Atefeh 1 Hu, Chinkun 1 Kalaj, David 1 Klevtsova, Yulia Yu. 1 Li, Shoufu 1 Maekawa, Yasunori 1 Martinez, Aurea 1 Martínez, Vicente 1 Mehra, Mani 1 Miura, Tatsu-Hiko 1 Nualart, Marc 1 Pérez-García, Ismael 1 Rozanova, Olga S. 1 Sarı, Murat 1 Sasaki, Eiichi 1 Stoll, Martin 1 Suri, Ali 1 Takehiro, Shin-Ichi 1 Tunc, Huseyin 1 Vázquez-Méndez, Miguel Ernesto 1 Yamada, Michio 1 Yu, Jui-Ling all top 5 Cited in 27 Serials 4 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Journal of Geometry and Physics 2 Applied Mathematics and Computation 2 Numerical Methods for Partial Differential Equations 2 Sbornik: Mathematics 2 Journal of Mathematical Fluid Mechanics 2 Nonlinear Analysis. Real World Applications 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Applied Mathematical Modelling 1 Cybernetics and Systems Analysis 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Mathematical Chemistry 1 Nonlinear Dynamics 1 Communications in Mathematical Analysis 1 Journal of Mathematical Modeling 1 Applied Mathematics and Nonlinear Sciences all top 5 Cited in 18 Fields 25 Fluid mechanics (76-XX) 17 Partial differential equations (35-XX) 13 Numerical analysis (65-XX) 8 Geophysics (86-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Astronomy and astrophysics (85-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year