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Works cited by this work

14 works

Work: STABILITY OF THE NUMERICAL SOLUTION FOR THE MIXED PROBLEM OF THE SAINT-VENANT EQUATIONS

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

    Georges Bastin, Jean‐Michel Coron

    Book201617 citations
    ABI

  2. Construction and research of adequate computational models for quasilinear hyperbolic systems

    Rakhmatillo Aloev, M. U. Khudoyberganov, Blokhin Alexander

    ArticleDifferential Equations and Boundary ProblemsNumerical Algebra Control and Optimization201813 citations
    ABI

  3. Untitled

    Other13 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. Equations of Mathematical Physics

    A. V. Bit︠s︡adze, V. M. Volosov, I. G. Volosova

    Book198010 citations
    ABI

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

    Simone Göttlich, Peter Schillen

    Article20178 citations
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  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. Methods for Solving Grid Equations

    Chapter20014 citations
    ABI

  10. Dissipative Boundary Conditions for One-Dimensional Quasi-linear Hyperbolic Systems: Lyapunov Stability for the $C^1$-Norm

    Jean‐Michel Coron, Georges Bastin

    Article20154 citations
    ABI

  11. Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation

    Jean‐Michel Coron, Long Hu, Guillaume Olive

    Article20174 citations
    ABI

  12. The immersed boundary method

    Charles S. Peskin

    Article20022 citations
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  13. The Laguerre spectral method as applied tonumerical solution of a two−dimensional lineardynamic seismic problem for porous media

    Abdumauvlen Berdyshev, Kholmatzhon Imomnazarov, Jiangang Tang +1

    Article20162 citations
    ABI

  14. Backstepping stabilization of the linearized Saint-Venant-Exner Model: Part II- output feedback

    Ababacar Diagne, Mamadou Diagne, Shu‐Xia Tang +1

    Article20152 citations
    ABI