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

Currently I do not teach. But some 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), The Nihon Butsuri Gakkaishi (Butsuri) (membership journal of the physical society of japan) 72:10, 712–716, October 2017.

Recent Papers

• (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,
  

• (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.

• (abstract)   (arXiv:1602.05382)
  M. Machida,
  The time-fractional radiative transport equation — Continuous-time random walk, diffusion approximation, and Legendre-polynomial expansion,
  J. Math. Phys. 58:1, 013301 (12pp), January 2017.

• (abstract)   (arXiv:1511.05723)
  M. Machida,
  The radiative transport equation in flatland with separation of variables,
  J. Math. Phys. 57 (2016) 073301 (16pp).

• (abstract)   (arXiv:1510.08731)
  M. Machida,
  How to construct three-dimensional transport theory using rotated reference frames,
  J. Comp. Theor. Trans. 45 (2016) 594–609.

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

• (abstract)  (arXiv:1506.00707)
  M. Machida, E. Narimanov, and J. C. Schotland,
  Polarization oscillations of near-field thermal emission,
  J. Opt. Soc. Am. A 33 (2016) 1071–1075.

• (abstract)  (arXiv:1510.00828)
  M. Machida,
  The Green's function for the three-dimensional linear Boltzmann equation via Fourier transform,
  J. Phys. A: Math. Theor. 49 (2016) 175001 (16pp).

• (abstract)
  M. Machida, G. Y. Panasyuk, Z.-M. Wang, V. A. Markel, and J. C. Schotland,
  Radiative transport and optical tomography with large datasets,
  J. Opt. Soc. Am. A 33 (2016) 551–558.

Recent Talks

• [invited] "Inverse problems in medical imaging: Optical tomography",
  Workshop for young scholars: Control and inverse problems on waves, oscillations and flows - Mathematical analysis and computational methods -, Doshisha University, Kyoto, August 21, 2018.

• [invited] "Stability analysis for homogenized diffusion equations",
  The 9th International Conference on Inverse Problems and Related Topics (ICIP), National University of Singapore, August 16, 2018.

• [invited] "Spatial-frequency optical tomography in the radiative-transport regime",
  Tianyuan Workshop on Mathematical and Computational Challenges of Medical Imaging and Inverse Problems, Shanghai University of Finance and Economics, August 14, 2018.

• "Numerical methods for optical tomography: Some examples",
  Computational Optical Bioimaging, Hamamatsu, July 7, 2018.

• "What is optical tomography?",
  Hamamatsu University School of Medicine 2nd Retreat, Hamamatsu, July 23, 2018.

• "Anomalous transport phenomena with time-fractional derivatives",
  The Physical Society of Japan 73rd Annual Meeting, Tokyo University of Science, Noda, March 25, 2018.

• [invited] "Optical tomography with structured illumination based on the radiative transport equation",
  Inverse Problems and Medical Imaging 2018 (IPMI2018), The University of Tokyo, Komaba, February 15, 2018.

• [invited] "New algorithms for the three-dimensional radiative transport equation for optical tomography",
  Workshop on Transport Theory and Biomedical Optics, AIST Tokyo Waterfront, Tokyo, February 1, 2018.

• [invited] "Coefficient inverse problems for the time-fractional linear Boltzmann equation",
  A3 Workshop on Applied Inverse Problems and Related Topics, The University of Tokyo, Komaba, November 28, 2017.

• [invited] "Theoretical tools for optical medical imaging",
  ICME International Conference on Complex Medical Engineering, Shenzhen, November 22, 2017.

• "Optical tomography based on the radiative transport equation",
  The Physical Society of Japan 2017 Autumn Meeting, Iwate University, Morioka, September 23, 2017.

• [invited] "Numerical techniques for optical tomography",
  Workshop on Mathematical Analysis for Nonlinear Phenomena, Kanazawa University, Kanazawa, June 14, 2017.

• [invited] "Optical tomography with structured illumination using the three-dimensional FN method",
  Applied Inverse Problems, Zhejiang University, Hangzhou, June 2, 2017.

• [invited] "Half-order fractional inverse transport problems by Carleman estimates",
  Applied Inverse Problems, Zhejiang University, Hangzhou, June 1, 2017.

• "Optical medical imaging with the radiative transport equation",
  School of Mathematics, Southeast University, Nanjing, May 17, 2017.

• "Stability analysis for inverse transport problems",
  School of Mathematical Sciences, Fudan University, Shanghai, March 24, 2017.

• "Analytical solutions of the multi-dimensional radiative transport equation",
  The Physical Society of Japan 72nd Annual Meeting, Osaka University, Osaka, March 19, 2017.

• "Optical tomography based on the radiative transport equation",
  School of Mathematics and Physics, Kanazawa University, March 15, 2017.

• [invited] "Transport-based optical tomography algorithms by rotated reference frames",
  Inverse problems and medical imaging, The University of Tokyo, Komaba, Tokyo, February 16, 2017.

• [invited] "Analytical solutions of the radiative transport equation",
  Japan Society for the Promotion of Science 185th Committee on Optical Imaging Technique Development, Kyoto University Tokyo Office, January 24, 2017.

• "Linear Boltzmann transport and optical tomography",
  Advanced Statistical Dynamics, Yukawa Institute for Theoretical Physics, Kyoto University, November 30, 2016.

• "The Green's function for the 3d linear Boltzmann equation",
  The Physical Society of Japan Autumn Meeting, Kanazawa, September 14, 2016.

• [invited] "Half-order fractional inverse transport problems by Carleman estimates",
  The 8th International Conference on Inverse Problems and Related Topics, Ewha Womans University, Seoul, Korea, June 28, 2016.

• "Half-order fractional inverse transport problems by Carleman estimates",
  NCTS PDE and Analysis Seminar, National Center for Theoretical Sciences, National Taiwan University, Taipei City, May 2, 2016.

• "Transport-based optical tomography",
  Japan Agency for Medical Research and Development, National Institute of Advanced Industrial Science and Technology, Tokyo Waterfront, Aomi, Tokyo, February 3, 2016.

• "Transport-based optical tomography",
  Winter School in Imaging Science, High1 Resort, Jeongsun-Kun, Gangwon-Province, South Korea, January 20, 2016

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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