Exact discrete solutions of boundary control problems for the 1D heat equation

DOI10.1007/s10957-022-02154-4OpenAlexW4313837606MaRDI QIDQ2696985

Yanyan Li

Publication date: 17 April 2023

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-022-02154-4

zbMATH Keywords

optimal controldiscrete adjointsimplicit peer two-step methodssymplectic Runge-Kutta methodsfirst-discretize-then-optimize

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Uses Software

• SOCS

Cites Work

• Runge-Kutta methods in optimal control and the transformed adjoint system
• Discrete adjoint implicit peer methods in optimal control
• Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More
• Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
• Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence
• An Interior Point Algorithm for Large-Scale Nonlinear Programming
• Runge-Kutta Approximation of Quasi-Linear Parabolic Equations
• Geometric Numerical Integration

This page was built for publication: Exact discrete solutions of boundary control problems for the 1D heat equation