A numerical investigation of Brockett's ensemble optimal control problems

DOI10.1007/s00211-021-01223-6OpenAlexW3195435760MaRDI QIDQ2238764

Jan Bartsch, Souvik Roy, Francesco Fanelli, Alfio Borzì

Publication date: 2 November 2021

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-021-01223-6

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial value problems for first-order hyperbolic equations (35L03) Numerical analysis (65-XX)

Related Items

Second-order analysis of Fokker–Planck ensemble optimal control problems ⋮ Dynamical optimal transport of nonlinear control-affine systems ⋮ An Optimal Control Problem for the Wigner Equation

Uses Software

• LONE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control of continuity equations
• Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
• Ordinary differential equations, transport theory and Sobolev spaces
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• The Boltzmann equation and its applications
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• A theoretical investigation of Brockett's ensemble optimal control problems
• A nonsmooth version of Newton's method
• A LONE code for the sparse control of quantum systems
• Numerical methods for high-dimensional probability density function equations
• A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
• Quantum Optimal Control Problems with a Sparsity Cost Functional
• Functional Analysis, Calculus of Variations and Optimal Control
• High Resolution Schemes and the Entropy Condition
• Fast explicit operator splitting method for convection–diffusion equations
• Optimization and nonsmooth analysis
• Convergence of Generalized MUSCL Schemes
• Total variation diminishing Runge-Kutta schemes
• Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal Control Optimality System
• Formulation and Numerical Solution of Quantum Control Problems
• Continuity equations and ODE flows with non-smooth velocity
• Balanced Splitting and Rebalanced Splitting
• On the Construction and Comparison of Difference Schemes
• Singular limits in thermodynamics of viscous fluids