What Mathematics Can Do for You pp 77-99 | Cite as

# Mathematics for Industry: Principle, Reality and Practice, from the Point of View of a Mathematician

## Abstract

We describe the principles of mathematics for industry and discuss schemes for promoting activities. Then we present two cases of the practice of mathematics for industry and argue on a bilateral collaboration style for effective joint projects by mathematicians and industry.

## Keywords

Inverse Problem Blast Furnace Tikhonov Regularization Molten Iron Conditional Stability## Notes

### Acknowledgements

Professor Masato Wakayama (Kyushu University) and Professor Takashi Tsuboi, Professor Yujiro Kawamata, and Professor Toshiyuki Kobayashi (The University of Tokyo) gave valuable comments on the draft. However all the contents are the responsibility of the author. Professor Yoshikazu Giga (The University of Tokyo) and Professor Toshiyuki Kobayashi recommended that I write this chapter. The author thank all of them.

## References

- 1.Hömberg D, Yamamoto M (2006) On an inverse problem related to laser material treatments. Inverse Prob 22:1855–1867Google Scholar
- 2.Nakagawa J, Yamamoto M (2009) Bilateral practice of industrial mathematics in steel making process. J Math Ind 1(B-9):157–163Google Scholar
- 3.Nakagawa J, Sakamoto K, Yamamoto M (2010) Overview to mathematical analysis for fractional diffusion equations—new mathematical aspects motivated by industrial collaboration. J Math Ind 2(A-10):99–108Google Scholar
- 4.Wang Y, Cheng J, Nakagawa J, Yamamoto M (2010) A numerical method for solving the inverse heat conduction problem without initial value. Inverse Prob Sci Eng 18:655–671Google Scholar