主题词：Iterative Methods for Nonlinear Equations; Advanced Optimization Algorithms Research; Numerical methods in inverse problems; Matrix Theory and Algorithms; Numerical methods for differential equations; Advanced Numerical Methods in Computational Mathematics; Advanced Mathematical Modeling in Engineering; Differential Equations and Numerical Methods; Differential Equations and Boundary Problems; Numerical methods in engineering; Model Reduction and Neural Networks; Mathematical Approximation and Integration; Fractional Differential Equations Solutions; Sparse and Compressive Sensing Techniques; Electromagnetic Scattering and Analysis; Probabilistic and Robust Engineering Design; Thermoelastic and Magnetoelastic Phenomena; Stochastic processes and financial applications; Statistical Methods and Inference; Composite Structure Analysis and Optimization; Nonlinear Waves and Solitons; Neural Networks and Applications; Nonlinear Differential Equations Analysis; Optimization and Variational Analysis; Coastal and Marine Dynamics