Advances in Numerical Methods for Optimal Control Problems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 182

Special Issue Editors


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Guest Editor
Department of Mathematics and Statistics, College of Arts & Sciences, University of North Florida, Jacksonville, FL, USA
Interests: finite element method; computational fluid dynamics; numerical analysis; finite element analysis; numerical mathematics; FSI; scientific computing; applied mathematics engineering, applied and computational mathematics; numerical simulation

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Guest Editor
Department of Systems and Naval Mechantronics Engineering, National Cheng Kung University, No.1, University Rd., East District, Tainan City 701, Taiwan
Interests: numerical method; optimal control; thermal system analysis; inverse problems

Special Issue Information

Dear Colleagues,

Optimal control problems have found applications in numerous fields, such as aerospace, process control, and economics, and they continue to be a research area of great interest to many professionals. The goal of optimal control problems is to determine control and state trajectories for a dynamical system over a period of time such that an objective functional is optimized, for example, to send a rocket to the moon with minimal fuel consumption or to find the time-dependent optimal temperature inside a sterilizing chamber for canned food. 

However, practical optimal control problems are usually too complex to solve analytically. Thus, many numerical algorithms have been developed and implemented to find approximate solutions to such problems.

This Special Issue aims to explore the most recent results in numerical methods for optimal control problems in both theoretical analysis and computational implementations.

Prof. Dr. Kening Wang
Prof. Dr. Cheng-Hung Huang
Guest Editors

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Keywords

  • optimal control
  • dynamical systems
  • differential equations
  • numerical analysis
  • computational implementation

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Published Papers

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