List of Some Publications of Tsybulin V.

  1. Destruction of the family of steady states in the planar problem of Darcy convection , Physics Letters A 372 (2008), 5639-5643. (with B. Karasozen)
  2. Staggered grids discretization in three-dimensional Darcy convection , Comm. Comput. Phys. 178 (2008), 885-893. (with B. Karasozen and A.D. Nemtsev)
  3. Dynamics of population kinetics model with cosymmetry , Matemat. modeling, 20 (2008), No. 2, 85-92 (in Russian). (with K. Frischmuth and E.S. Kovaleva)
  4. Dynamics and family of equilibria in a population kinetics model with cosymmetry, PAMM Volume 7, Issue 1 , P. 1030401 - 1030402 (with K. Frischmuth and E.S. Kovaleva)
  5. Dynamics of nonlinear parabolic equations with co-symmetry , Proc. 10th Conf. on Computer Algebra in Scientific Computing, Springer-Verlag, 2007, 265-274. (with K. Frischmuth and E.S. Kovaleva)
  6. Numerical study of the first transition in three-dimensional convection in a porous medium , Fluid Dynam. 342 (2007) 464-473. (with A.D. Nemtsev)
  7. Selection of steady states in planar Darcy convection , Physics Letters A 356 (2006), 189-194. (with B. Karasozen and T. Ergenc)
  8. Finite-difference methods preserving a cosymmetry for the convective flow problem in porous medium. , Appl. Numer. Math. 55 (2005), 69-82. (with B. Karasozen)
  9. Mimetic discretization of two dimensional Darcy convection , Comm. Comput. Phys. 167 (2005), 203-213. (with B. Karasozen)
  10. Families of equilibria and dynamics in a population kinetics model with cosymmetry , Physics Letters A 338 (2005), 51-59. (with K. Frischmuth)
  11. Cosymmetric families of steady states in Darcy convection and their collision , Physics Letters A 323 (2004) 67-76. (with B. Karasozen)
  12. Numerical study of the planar convective problem of multi-component fluid in a porous medium , Izv. RAN, Mekhanika zhidkosti i gaza. (2004) N. 3. 123-134, (in Russian); Fluid Dynam. 39 (2004), no. 3, 464-473. (with O.Yu. Kantur)
  13. Cosymmetry preservation and families of equilibria , Computer Algebra in Scientific Computing. Proc 7th workshop CASC, St. Petersburg, July 12-19, 2004. Technische University Muenchen. 163-172. (with K. Frischmuth)
  14. Calculation of families of stationary filtration convection regimes in a narrow container , J. Appl. Mech. and Techn. Phys. (2003) 228-235. (with O.Yu. Kantur)
  15. Cosymmetry Preserving Discretization and Multiple Convective Regimes , Patterns and Waves. Saint Petersburg. 2003. 42-54.
  16. Numerical Study of Convection of Multi-Component Fluid in Porous Medium,Cosymmetry Preserving Discretization and Multiple Convective Regimes. , Proc. ENUMATH 2003. Springer-Verlag. 2004. 531-538. (with O.Yu. Kantur)
  17. A Spectral-Difference Method for Computing Convective Fluid Motions in a Porous Medium and Cosymmetry Preservation , Computational Mathematics and Mathematical Physics. 42 (2002) 878-888. (with O.Yu. Kantur) (In Russian).
  18. Computation of the family of noncosymmetrical equilibria in the system of two nonlinear parabolic equations, Computing 16 [Suppl.] (2002) 67-82. (with K. Frischmuth)
  19. Conservative Finite Difference Schemes for Cosymmetric Systems, Proc. 4th Conf. on Computer Algebra in Scientific Computing Springer-Verlag, 2001, 363-375. (with B. Karasozen)
  20. Dynamics of Numerical Methods for Cosymmetric Ordinary Differential Equations, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 11 (2001) 2339-2357. (with V.N. Govorukhin and B. Karasozen)
  21. A Finite-Difference Approximations and Cosymmetry Conservation in Filtration Convection Problem, Proc. EquaDiff 99. Springer. 1999. (with B. Karasozen)
  22. Finite-Difference Approximations and Cosymmetry Conservation in Filtration Convection Problem, Physics Letters A, 1999. (with B. Karasozen)
  23. Numerical investigation of stationary regimes stability in planar convection problem, Modern problems of mathematical modeling, 8 Russian workshop, Rostov-on-Don, Publisher RSU, 1999. (with S.O. Sobolev) (in Russian)
  24. Invariant sets and attractors of quadratic mapping of plane: computer experiment and analytical treatment, Int. J. Difference Equations and Applications. Vol. 4, 1998, 397-423. (with V.I. Yudovich)
  25. Dynamics of the map with continuous family of fixed points, Proc. 4 Int. Conference on Difference Equations and Applications, Poznan, 1998, 123-126. (with V.N. Govorukhin)
Old papers
  1. The calculation by deformation theory the geometrical nonlinear oscillations of spherical caps under impact loading // Vestnik LGU, Mekanika, N.13, (1981) (with I.M. Bermus, L.S.Srubschik, A.M. Stolyar, V.L.Fomin). (in Russian)
  2. Elasto-plastic oscillations of spherical caps under impact loading // "Problems of optimal design of plates", Saratov, 1981. (with A.M.Stolyar) (in Russian)
  3. Investigations of elasto-plastic geometrical nonlinear oscillations of spherical caps using Baushinger effect // Gidroaeromekhanika i teoriya uprugosti, N.30, (1983) (with I.M. Bermus, L.S.Srubschik, A.M.Stolyar). (in Russian)
  4. Asymptotic integration of nonlinear oscillation equations of cylindrical shell // Proc. I symp. "Nonlinear Theory of Thinwalled Structures and Biomechanics", (1985) (with A.M.Stolyar) (in Russian)
  5. Asymptotic integration of nonlinear equations of oscillations of cylindrical shell // PMM, 52, N.4 (1988) (L.S.Srubschik, A.M. Stolyar). (in Russian)
  6. Calculation of shallow shell oscillations using different plasticity theories // "Stability and vibrations of mechanical systems", Leningrad, (1988) (with A.M.Stolyar) (in Russian)
  7. Numerical investigation of dynamical snap-through of shallow elasoplastic shells // "Nonlinear problems of thinwalled structures calculation", Saratov (1989). (in Russian)
  8. Asymptotic analysis of nonlinear equations of oscillations of elongated cylindrical shell // Proc. 15 conf. on Theory of Shells and Plates, (1990) (with A.M.Stolyar) (in Russian)
  9. Finite-fifference scheme of sovereign velocities for dynamical problem of elastoplasticity // VINITI, N 2588-B92 (1992) (in Russian)
  10. On one numerical finite-difference scheme for transient problems in elastoplasticity // VINITI, N 2589-B92 (1992) (in Russian)
  11. Attractors of quadratic mapping of plane: Computer experiment and analytical treatment // VINITI, N 2442-B94 (1994) (with V.I. Yudovich) (in Russian)
  12. The sovereign velocity scheme in continuum mechanics // Proc. 14th IMACS world Congress on Comput. and Applied Mathematics., Atlanta, USA, V.2 (1994)
  13. Maple - computer algebra system for mathematical modelling // Rostov State Univ., 32 p. (with V.N. Govorukhin) (in Russian)
  14. Attractors of quadratic mapping of plane: computer experiment and analytical treatment // ZAMM, vol.4, N3, 1996, 552-555. (with V.I. Yudovich)
  15. Implementation of finite-difference sovereign velocity scheme for viscous incompressible flows // Proc. 2nd conf. on Continuum Mechanics, Rostov-on-Don, Kniga, 1996, v. 3, 144-148. (in Russian)
  16. Finite-difference approximation of continuum mechanics problems using sovereign velocity scheme // Modern problems of mathematical modeling, 7 Russian workshop, Rostov-on-Don, Publisher RSU, 1997, 148-152. (in Russian)