Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations
DOI10.1007/s11075-016-0120-0zbMath1366.65082OpenAlexW2297083076WikidataQ114224354 ScholiaQ114224354MaRDI QIDQ342883
Publication date: 18 November 2016
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-016-0120-0
convergenceHamilton-Jacobi equationviscosity solutionerror estimatefront propagationfinite volume schemeeffective Hamiltonianhomogenization in periodic mediahomogenization in random media
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Generation, random and stochastic difference and differential equations (37H10) 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) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Hamilton-Jacobi equations (35F21) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments
- Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
- Approximate solutions of the Bellman equation of deterministic control theory
- Stochastic homogenization of Hamilon-Jacobi and ``viscous-Hamilton-Jacobi equations with convex nonlinearities -- revisited
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations
- Viscosity solutions of Hamilton-Jacobi equations
- A new approach to front propagation problems: theory and applications
- Homogenization for stochastic Hamilton-Jacobi equations
- Semi-Lagrangian schemes for Hamilton-Jacobi equations, discrete representation formulae and Godunov methods
- Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations
- Error estimates for the approximation of the effective Hamiltonian
- Convergence of a first order scheme for a nonlocal eikonal equation
- An approximation scheme for the effective Hamiltonian and applications
- Convergence of numerical methods and parameter dependence of min-plus eigenvalue problems, Frenkel-Kontorova models and homogenization of Hamilton-Jacobi equations
- Two Approximations of Solutions of Hamilton-Jacobi Equations
- HOMOGENIZATION OF HAMILTON–JACOBI EQUATIONS: NUMERICAL METHODS
- Viscosity Solutions of Hamilton-Jacobi Equations
- User’s guide to viscosity solutions of second order partial differential equations
- Periodic homogenization of Hamilton-Jacobi equations: Additive eigenvalues and variational formula
- Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting
- On the rate of convergence in homogenization of Hamilton-Jacobi equations
- Computing the Effective Hamiltonian Using a Variational Approach
- Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media
- An Introduction to the Theory of Point Processes
- Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations
- Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations
- An Introduction to the Theory of Point Processes
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
This page was built for publication: Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations
