| Application | Key Mathematics Areas |
| Crystal growth | partial differential equations |
| Cryocooler modeling | partial differential equations |
| Casting of materials | partial differential equations |
| Nonlinear dynamics | ordinary differential equations |
| Image deblurring | inverse problems |
| Image compression | wavelets |
| Terrain modeling | omputational geometry |
| Molecular beam epotaxy modeling | computational geometry |
| Optical character recognition | neural networks |
| Microwave measurements analysis | optimization |
| Coordinate measuring machine | optimization error modeling |
| Various areas | mathematical software for high performance computers |
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