A Semi-Lagrangian Scheme for Hamilton--Jacobi--Bellman Equations on Networks
DOI10.1137/19M1260931zbMath1459.65173MaRDI QIDQ5134978
Nicolas Forcadel, Adriano Festa, Elisabetta Carlini
Publication date: 18 November 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Traffic problems in operations research (90B20) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
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Cites Work
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- Hamilton-Jacobi equations constrained on networks
- An approximation scheme for a Hamilton-Jacobi equation defined on a network
- Homogenization of second order discrete model and application to traffic flow.
- A discrete Hughes model for pedestrian flow on graphs
- Traffic dynamics and simulation. Data models and applications of traffic flow dynamics.
- A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
- Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions
- A flame propagation model on a network with application to a blocking problem
- Viscosity solutions of eikonal equations on topological networks
- A comparison among various notions of viscosity solution for Hamilton-Jacobi equations on networks
- A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic
- Error estimates for a finite difference scheme associated with Hamilton-Jacobi equations on a junction
- Conservation laws with discontinuous flux
- Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov--Poisson Equation
- A Bellman approach for two-domains optimal control problems in ℝN
- Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks
- Multiscale Modeling of Granular Flows with Application to Crowd Dynamics
- Two Approximations of Solutions of Hamilton-Jacobi Equations
- A Hamilton-Jacobi approach to junction problems and application to traffic flows
- Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations
- Flux-limited and classical viscosity solutions for regional control problems
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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