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A Stochastic Gradient Descent Approach for Stochastic Optimal Control

East Asian Journal on Applied Mathematics, 2020
In this work, we introduce a stochastic gradient descent approach to solve the stochastic optimal control problem through stochastic maximum principle. The motivation that drives our method is the gradient of the cost functional in the stochastic optimal
Richard Archibald
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An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

Advances in Applied Mathematics and Mechanics, 2020
In this paper, we propose an efficient numerical method for the optimal control problem constrained by elliptic equations. Being approximated by the finite element method (FEM), the continuous optimal control problem is discretized into a finite ...
Jinda Yang
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A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem

Advances in Applied Mathematics and Mechanics, 2022
A new algorithm, called symmetric inertial alternating direction method of multipliers (SIADMM), is designed for separable convex optimization problems with linear constraints in this paper.
Mengyue Wu   +3 more
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Algorithms for Optimal Control of Elastic Contact Problems with Finite Strain

International Series of Numerical Mathematics, 2019
A. Schiela, M. Stöcklein
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