Time discretizations for numerical optimisation of hyperbolic problems
type: Item
instance of: scholarly article
title: Time discretizations for numerical optimisation of hyperbolic problems
zbMATH Open document ID: 1252.65104
author: Michael Herty
author: Veronika Schleper
published in: Applied Mathematics and Computation
publication date: 2012-01-13T00:00:00Z
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49M20
zbMATH DE Number: 5996973
zbMATH Keywords: numerical examples
zbMATH Keywords: optimal control
zbMATH Keywords: hyperbolic conservation laws
zbMATH Keywords: finite-volume schemes
zbMATH Keywords: relaxation
MaRDI profile type: Publication
full work available at URL: j.amc.2011.05.116
OpenAlex ID: W2000707454
cites work: The relaxation schemes for systems of conservation laws in arbitrary space dimensions
cites work: Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
cites work: Q4934465
cites work: Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
cites work: Relaxation Schemes for Nonlinear Kinetic Equations
cites work: Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
cites work: Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
cites work: Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
cites work: Convergence Rates for Relaxation Schemes Approximating Conservation Laws
cites work: Q4892756
cites work: Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws
cites work: Stiff Systems of Hyperbolic Conservation Laws: Convergence and Error Estimates
cites work: Pointwise error estimates for relaxation approximations to conservation laws
cites work: Higher-order relaxation schemes for hyperbolic systems of conservation laws
cites work: Relaxation WENO schemes for multidimensional hyperbolic systems of conservation laws
cites work: Central Differencing Based Numerical Schemes for Hyperbolic Conservation Laws with Relaxation Terms
cites work: New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
cites work: Adaptive finite element relaxation schemes for hyperbolic conservation laws
cites work: Q4657216
cites work: Q3558349
cites work: Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws
cites work: Runge-Kutta discretizations of optimal control problems
cites work: Runge-Kutta methods in optimal control and the transformed adjoint system
cites work: Q4801530
DOI: 10.1016/J.AMC.2011.05.116
description: scientific article; zbMATH DE number 5996973