An ENO-based method for second-order equations and application to the control of dike levels

DOI10.1007/s10915-011-9493-3zbMath1245.65077OpenAlexW2102713195MaRDI QIDQ421325

S. P. van der Pijl, Cornelis W. Oosterlee

Publication date: 23 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10915-011-9493-3

zbMATH Keywords

optimal controlconvergenceviscosity solutioneconomic growthHamilton-Jacobi-Bellman equationsdiscrete optimizationimpulsive controlcontinuous optimizationessentially non-oscillatory methoddike increase against floodingENO scheme for diffusionfourth-order spatial discretizationhyperbolic conversation law

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Initial-boundary value problems for second-order parabolic equations (35K20) Economic growth models (91B62) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence theories for optimal control problems involving partial differential equations (49J20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Discrete approximations in optimal control (49M25) Hamilton-Jacobi equations (35F21)

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