主题词：Advanced Numerical Methods in Computational Mathematics; Advanced Mathematical Modeling in Engineering; Numerical methods in engineering; Computational Fluid Dynamics and Aerodynamics; Electromagnetic Simulation and Numerical Methods; Differential Equations and Numerical Methods; Numerical methods for differential equations; Numerical methods in inverse problems; Fluid Dynamics and Turbulent Flows; Navier-Stokes equation solutions; Model Reduction and Neural Networks; Gas Dynamics and Kinetic Theory; Composite Material Mechanics; Contact Mechanics and Variational Inequalities; Electromagnetic Scattering and Analysis; Advanced Numerical Analysis Techniques; Stability and Controllability of Differential Equations; Lattice Boltzmann Simulation Studies; Probabilistic and Robust Engineering Design; Elasticity and Material Modeling; Stochastic processes and financial applications; Matrix Theory and Algorithms; Nonlinear Partial Differential Equations; Solidification and crystal growth phenomena; Advanced Mathematical Physics Problems