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Stability Analysis of an Upwind Difference Splitting Scheme for Two-Dimensional Saint–Venant Equations

https://doi.org/10.3390/sym14101986
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Numerical boundary conditions for globally mass conservative methods to solve the shallow‐water equations and applied to river flow
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Stability and Boundary Stabilization of 1-D Hyperbolic Systems
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Numerical solution of the Saint-Venant equations by an efficient hybrid finite-volume/finite-difference method
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Boundary conditions for the two-dimensional Saint-Venant equation system
inferredcites →https://doi.org/10.1016/j.automatica.2016.10.017openalex-snapshot
Backstepping stabilization of the linearized Saint-Venant–Exner model
inferredcites →https://doi.org/10.1016/j.automatica.2017.05.013openalex-snapshot
Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation
inferredcites →https://doi.org/10.1016/j.automatica.2018.10.035openalex-snapshot
A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope
inferredcites →https://doi.org/10.1016/j.compfluid.2017.08.035openalex-snapshot
Well-balanced methods for the shallow water equations in spherical coordinates
inferredcites →https://doi.org/10.1016/j.ifacol.2016.07.431openalex-snapshot
State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model
inferredcites →https://doi.org/10.1016/j.procs.2019.08.135openalex-snapshot
Saint-Venant Model Analysis of Trapezoidal Open Channel Water Flow using Finite Difference Method
inferredcites →https://doi.org/10.1016/j.sysconle.2017.03.013openalex-snapshot
A quadratic Lyapunov function for hyperbolic density–velocity systems with nonuniform steady states
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Teleseismic tomography of the southern Tyrrhenian subduction zone: New results from seafloor and land recordings
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Application of Finite Difference Schemes to 1D St. Venant for Simulating Weir Overflow
inferredcites →https://doi.org/10.1080/00221680309506900openalex-snapshot
High-resolution and non-oscillatory solution of the St. Venant equations in non-rectangular and non-prismatic channels
inferredcites →https://doi.org/10.1090/mcom3045openalex-snapshot
A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations
inferredcites →https://doi.org/10.1098/rsos.190439openalex-snapshot
A lattice Boltzmann model for the open channel flows described by the Saint-Venant equations
inferredcites →https://doi.org/10.1098/rspa.1955.0019openalex-snapshot
The effects of hydraulic resistance in the dam-break problem
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Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
inferredcites →https://doi.org/10.1137/14097080xopenalex-snapshot
Dissipative Boundary Conditions for One-Dimensional Quasi-linear Hyperbolic Systems: Lyapunov Stability for the $C^1$-Norm
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MATHEMATICAL ANALYSIS OF A SAINT-VENANT MODEL WITH VARIABLE TEMPERATURE
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Mathematical Aspects of Numerical Solution of Hyperbolic Systems
inferredcites →https://doi.org/10.1515/rnam-2016-0022openalex-snapshot
A combined computational algorithm for solving the problem of long surface waves runup on the shore
inferredcites →https://doi.org/10.15587/1729-4061.2021.239148openalex-snapshot
Development of an algorithm for calculating stable solutions of the Saint-Venant equation using an upwind implicit difference scheme
inferredcites →https://doi.org/10.15625/0866-7136/25/1/6578openalex-snapshot
Calculation of the horizontal two-dimensional unsteady flows by the method of characteristics
inferredcites →https://doi.org/10.23919/ecc.1999.7099816openalex-snapshot
A Lyapunov approach to control irrigation canals modeled by saint-venant equations
inferredcites →https://doi.org/10.3934/naco.2018017openalex-snapshot
Construction and research of adequate computational models for quasilinear hyperbolic systems
inferredcites →https://doi.org/10.4236/am.2018.97055openalex-snapshot
A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems
inferredcites →https://doi.org/10.4236/jamp.2020.87090openalex-snapshot
Study of the 1D Saint-Venant Equations and Application to the Simulation of a Flood Problem
inferredcites →https://doi.org/10.5772/intechopen.71026openalex-snapshot
A Numerical Simulation of the Shallow Water Flow on a Complex Topography

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Data Driven Hydrological Model for River Level Dynamics Forecasting in Uruguay Rio Negro Basin
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Nonlinear hydrological time series modeling to forecast river level dynamics in the Rio Negro Uruguay basin
inferred← citeshttps://doi.org/10.1134/s1995080224600249openalex-snapshot
An Implicit Difference Scheme for a Mixed Problem of Hyperbolic Type with Memory
inferred← citeshttps://doi.org/10.3390/axioms13050334openalex-snapshot
Exponential Stability of the Numerical Solution of a Hyperbolic System with Nonlocal Characteristic Velocities
inferred← citeshttps://doi.org/10.3390/math11173763openalex-snapshot
Numerical Method for Fractional-Order Generalization of the Stochastic Stokes–Darcy Model
inferred← citeshttps://doi.org/10.3390/sym15101863openalex-snapshot
An Explicit–Implicit Upwind Difference Splitting Scheme in Directions for a Mixed Boundary Control Problem for a Two-Dimensional Symmetric t-Hyperbolic System
inferred← citeshttps://doi.org/10.37394/23206.2025.24.52openalex-snapshot
A Numerical Study on the Lyapunov Stability of Solutions to a Quasilinear Hyperbolic System
inferred← citeshttps://doi.org/10.37934/cfdl.17.4.153169openalex-snapshot
Numerical Solution of Burgers Equation Using Finite Difference Methods: Analysis of Shock Waves in Aircraft Dynamics
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