| Application | Key Mathematics Areas |
| Modeling of airflow over airplane bodies | numerical solution of PDEs, including complex grid generation |
| Rocket launch trajectory analysis | optimal control, boundary value problems of ODEs |
| Electromagnetics analysis for detection by radar | numerical solution of PDEs |
| Computer aided design of mechanical parts and assemblies | computational geometry, differential geometry, approximation theory |
| Design and analysis of control systems for aircraft | control theory, modeling and simulation, numerical solution of ODEs |
| Inventory control for factory parts | operations research |
| Reliability analysis of complex systems | probability and statistics |
| Noise analysis | signal processing |
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