Manabu Machida Lecturer Institute for Medical Photonics Research Hamamatsu University School of Medicine Address: 1-20-1 Handayama, Higashi-ku, Hamamatsu,      Shizuoka 431-3192, Japan Email:  Physical Applied Mathematics, Scientific Computing, Inverse Problems Erdös Number: 3 Einstein Number: 4 Ph.D., The University of Tokyo

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Teaching

Doctoral course: Cooperative Major in Medical Photonics

Spring 2019

Biomedical information processing

First and second lectures (TBA)

Some past teaching materials including lecture notes can be found below.

• Numerical methods (University of Michigan, Math 471 course page)
• Partial differential equations (University of Michigan, Math 454 course page)
• Linear algebra (University of Michigan, Math 417 course page)
• Lecture note on Case's method in linear transport theory (pdf)
• Lecture note on inverse problems by Carleman estimates (pdf)

• Optics and Inverse Problems: Optical Tomography (Japanese), 日本物理学会誌 (membership journal of the Physical Society of Japan) 72:10, 712–716, October 2017.

Recent Papers

• K. Amagai, M. Yamakawa, M. Machida, and Y. Hatano,
  The linear Boltzmann transport in column experiments of porous media,
  submitted.

• (arXiv:1903.01281)
  C. Sun, G. Nakamura, G. Nishimura, Y. Jiang, J. Liu, M. Machida,
  Fast and robust reconstruction algorithm for fluorescence diffuse optical tomography assuming a cuboid target,
  submitted.

• (arXiv:1811.06223)
  A. Kawamoto and M. Machida,
  Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation,
  submitted.

• (arXiv:1802.00638)
  Yu Jiang, M. Machida, and G. Nakamura,
  A hybrid inversion scheme of Markov-chain Monte Carlo and iterative methods for diffuse optical tomography,
  submitted.

• (arXiv:1706.04500)
  M. Machida and G. Nakamura,
  Born series for the Robin boundary condition,
  submitted.

• (arXiv:1608.07914)
  A. Kawamoto and M. Machida,
  Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates,
  submitted.

• (arXiv:1507.07259)
  M. Machida,
  Optical tomography with structured illumination using the three-dimensional FN method,
  submitted.

Recent Talks

• [invited] International Congress on Industrial and Applied Mathematics (ICIAM) Valencia, Spain, July, 2019.

• [invited] Applied Inverse Problems Conference (AIP), Grenoble, France, July, 2019

• European Conference on Biomedical Optics (ECBO), Munich, Germany, June, 2019.

• 解析解に基づく輻射輸送方程式の数値計算, JSIAM 第15回研究部会連合発表会, University of Tsukuba, March 4, 2019.

• [invited] Stability analysis of inverse problems for 1+1/2 fractional parabolic equations, A3 Workshop in Applied Inverse Problems, Okinawa, Japan, January 29, 2019.

Java Applet

EZ-RTE is now released!  →  https://sites.google.com/site/ezrte13/

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• Biography
• Publications
• Conferences and Talks

[Hamamatsu, Japan]

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