Implicit peer triplets in gradient-based solution algorithms for ODE constrained optimal control
DOI10.1007/s10957-024-02541-zMaRDI QIDQ6636817
Bernhard A. Schmitt, Jens Lang
Publication date: 12 November 2024
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
nonlinear optimal controldiscrete adjointsgradient-based optimizationimplicit peer two-step methodsfirst-discretize-then-optimize
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) Discrete approximations in optimal control (49M25)
Cites Work
- Unnamed Item
- On the optimal control of the Schlögl-model
- Two-step peer methods with continuous output
- High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs
- On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds
- Runge-Kutta methods in optimal control and the transformed adjoint system
- High-order linearly implicit two-step peer schemes for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations
- Rosenbrock-type `peer' two-step methods
- W-methods in optimal control
- Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems
- Discrete adjoint implicit peer methods in optimal control
- Symplectic Runge-Kutta discretization of a regularized forward-backward sweep iteration for optimal control problems
- Super-convergent implicit-explicit peer methods with variable step sizes
- Generalization of partitioned Runge-Kutta methods for adjoint systems
- Stability and consistency of discrete adjoint implicit peer methods
- Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part
- Approximation of weak adjoints by reverse automatic differentiation of BDF methods
- Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control
- Implicit peer methods for large stiff ODE systems
- Exact discrete solutions of boundary control problems for the 1D heat equation
- Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More
- Implicit-Explicit Runge--Kutta Schemes for Numerical Discretization of Optimal Control Problems
- Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence
- Rates of Convergence for Discrete Approximations to Unconstrained Control Problems
- Parallel Two-Step W-Methods with Peer Variables
- Optimal Coatings, Bang‐Bang Controls, And Gradient Techniques
- Explicit Stabilized Integrators for Stiff Optimal Control Problems
- A trust region method based on interior point techniques for nonlinear programming.
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