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Works cited by this work

14 works

Work: Lyapunov stability of the numerical solution of the Saint-Venant equation

  1. Stability and Boundary Stabilization of 1-D Hyperbolic Systems

    Georges Bastin, Jean‐Michel Coron

    Book201617 citations
    ABI

  2. Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients

    Rakhmatillo Aloev, Z.K. Eshkuvatov, Sh. O. Davlatov +1

    ArticleAdvanced Numerical Methods in Computational MathematicsComputers & Mathematics with Applications201413 citations
    ABI

  3. The Difference Splitting Scheme for Hyperbolic Systems with Variable Coefficients

    Rakhmatillo Aloev, Z. K. Eshkuvatov, M. U. Khudoyberganov +1

    Article201912 citations
    ABI

  4. On Lyapunov stability of linearised Saint-Venant equations for a sloping channel

    Georges Bastin, Jean‐Michel Coron, Brigitte d’Andréa-Novel +1

    Article200911 citations
    ABI

  5. A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems

    Rakhmatillo Aloev, Z. K. Eshkuvatov, Mirzoali Khudayberganov +1

    ArticleComputational Fluid Dynamics and AerodynamicsApplied Mathematics201810 citations
    ABI

  6. Numerical discretization of boundary control problems for systems of balance laws: Feedback stabilization

    Simone Göttlich, Peter Schillen

    Article20178 citations
    ABI

  7. A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope

    Amaury Hayat, Peipei Shang

    Article20188 citations
    ABI

  8. A quadratic Lyapunov function for hyperbolic density–velocity systems with nonuniform steady states

    Georges Bastin, Jean‐Michel Coron

    Article20177 citations
    ABI

  9. Untitled

    Other3 citations
    ABI

  10. Difference upwind scheme for the numerical calculation of stable solutions for a linear hyperbolic system

    Nematova Dilfuza

    ArticleComputational Fluid Dynamics and AerodynamicsAIP conference proceedings20212 citations
    ABI

  11. Three-dimensional linear hyperbolic system

    Rakhmatillo Aloev, D. E. Nematova

    ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20212 citations
    ABI

  12. Lyapunov numerical stability of a hyperbolic system of linear balance laws with inhomogeneous coefficients

    Rakhmatillo Aloev, Nematova Dilfuza

    ArticleAquatic and Environmental StudiesAIP conference proceedings20212 citations
    ABI

  13. Hyperbolic Systems of Balance Laws

    Georges Bastin, Jean‐Michel Coron

    Chapter20162 citations
    ABI

  14. Numerical solution of Saint-Venant equations

    Aziza Akbarova

    ArticleStability and Controllability of Differential EquationsAIP conference proceedings20211 citations
    ABI