Solving 1D conservation laws using Pontryagin's minimum principle

DOI10.1007/s10915-016-0294-6zbMath1398.65256arXiv1605.04473OpenAlexW2963395282MaRDI QIDQ1704773

Wei Kang, Lucas C. Wilcox

Publication date: 13 March 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04473

zbMATH Keywords

conservation lawsBurgers' equationspectral methodPontryagin's minimum principle

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Uses Software

• Matlab
• CLAWPACK
• Chebfun

Cites Work

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• Algorithms for overcoming the curse of dimensionality for certain Hamilton-Jacobi equations arising in control theory and elsewhere
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Mitigating the curse of dimensionality: sparse grid characteristics method for optimal feedback control and HJB equations
• Hyperbolic conservation laws with space-dependent fluxes: II. General study of numerical fluxes
• Algorithm for overcoming the curse of dimensionality for certain non-convex Hamilton-Jacobi equations, projections and differential games
• Level set methods and dynamic implicit surfaces
• Automatic Fréchet Differentiation for the Numerical Solution of Boundary-Value Problems
• Piecewise-smooth chebfuns
• Die Lage der Nullstellen eines Polynoms
• THE COLLEAGUE MATRIX, A CHEBYSHEV ANALOGUE OF THE COMPANION MATRIX
• Extension of Chebfun to Periodic Functions
• Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• Finite Volume Methods for Hyperbolic Problems
• Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding
• Numerical Schemes for Conservation Laws via Hamilton-Jacobi Equations
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Hyperbolic Conservation Laws in Continuum Physics

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