Numerical Optimization: Mathematical Problems and Applications

Dear Colleagues,

Almost every problem in science and technology can be formulated as an optimization problem. When solving these problems, computational methods based on mathematical analysis and natural calculations are used. At the same time, in practice, the problems of approximate solutions to optimization problems, the analysis of computational errors, and the convergence of computational methods come to the fore. In a number of complex problems, it is very difficult or impossible to obtain an analytical solution by means of mathematical analysis; therefore the issues of numerical algorithms are equally important. The purpose of this Special Issue is to establish a collection of articles that reflect the latest mathematical developments in the field of numerical optimization with their applications. The topics of this Special Issue include, but are not limited to:

• Inverse and Incorrect Problems of Control Theory
• Problems of Perturbation of the Spectrum of Operators in the Theory of Dynamical Systems
• Simulation-based optimization
• Nonlinear ODEs and PDEs
• Applied Mathematical Modelling in Fluid and Solid Mechanics
• Analytical Approximate Methods
• Fractional Calculus

Dr. Anton Zhilenkov
Guest Editor

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