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EXPLICIT STABILIZED INTEGRATORS FOR STIFF OPTIMAL CONTROL PROBLEMS
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DOI：10.1137/19M1294216.png)
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摘要
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Explicit stabilized methods are an efficient alternative to implicit schemes for the time integration of stiff systems of differential equations in large dimension. In this paper we derive explicit stabilized integrators of orders one and two for the optimal control of stiff systems. We analyze their favorable stability properties based on the continuous optimality conditions. Furthermore, we study their order of convergence taking advantage of the symplecticity of the corresponding partitioned Runge-Kutta method involved for the adjoint equations. Numerical experiments including the optimal control of a nonlinear diffusion-advection PDE illustrate the efficiency of the new approach.
Keyword:
optimal control
RKC
Chebyshev methods
geometric integration
adjoint control systems
diffusion-advection PDE
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
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引用论文
Symplectic Runge-Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More伴随方程，自动微分，最优控制等的辛runge-kutta方案.png)
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