Computational Optimization with Differential-Algebraic Constraints
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: closed (31 July 2024) | Viewed by 1977
Special Issue Editor
Interests: optimal control; numerical optimization; differential–algebraic equations; nonlinear constraints; computational methods; process simulation
Special Issue Information
Dear Colleagues,
The increase in technological processes’ complexity is clearly reflected in the mathematical equations, from which numerical simulation models are built. In this way, mathematical models of real-life industrial processes become more and more detailed, take into account various operating conditions, and, in many cases, allow the input of external signals.
The simulation models can have the form of differential–algebraic equations (DAEs). They enable us to explicitly express dynamic relations, as well as the physical laws of conservation of mass, energy, and charge. It is worth emphasizing that these relationships are often highly nonlinear. Optimization and design of processes described by nonlinear differential–algebraic equations can require the development of new computational methods and dedicated approaches for numerical simulation.
Research work in this particular area is a milestone in the creation of new technological solutions based on accurate numerical simulation models. I would like to encourage you to share your recent research and scientific results in the field of new approaches dedicated to optimization with systems described by differential–algebraic equations and constraints. Case studies of new methods applications in solving urgent engineering problems are also welcome.
Dr. Paweł Drąg
Guest Editor
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Keywords
- numerical optimization
- nonlinear optimization
- computational methods
- differential–algebraic equations
- nonlinear constraints
- direct and indirect approaches
- multiple shooting method
- dynamical optimization
- system simulation
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