Research theme for competitive and other funds (32)：
2019 - 2023 非等方弾性体および圧電体における表面波の漸近解析と逆問題
2014 - 2019 非等方弾性体における波動現象の漸近解析と逆問題
2010 - 2014 弾性波動の漸近挙動と逆問題
2010 - 2012 Study of Inverse Problems for Family of Elasticity Equations
2009 - 2012 Mathematics of inverse problems and practical solution methods
2009 - 2011 Development of representation of elastic waves and investigation of their fundamental properties
2007 - 2010 弾性方程式および導電方程式に対する逆問題の解の構成
2007 - 2009 Foundation of high accuracy computational methods on the multiple-precision computer environment and its applications to analysi of inverse problems
2007 - 2008 Mathematical Analysis for Inverse Scattering Problems of Elastic Waves
2006 - 2008 Further development of the probe and enclosure methods
2006 - 2008 Development of numerical computation brought by spectral theory and geometry
2004 - 2007 工学の基礎に現れる偏微分方程式に対する逆問題の解の構成
2004 - 2006 Research of the applications of the theory of reproducing kernels
2003 - 2005 Extraction formulae in Inverse problems
2003 - 2005 A Research on the Theory of Irrational Numbers for q-Functions
2001 - 2004 境界値逆問題の解の構成
2001 - 2003 Numerical and Mathematical Analysis for the reconstruction for solutions of inverse and ill-posed problems by regularization methods
2001 - 2002 Microlocal filtering with multiwavelet frames
2001 - 2002 Discovery of new methods that may yield reconstruction algorithms in inverse problems
1999 - 2001 非等方弾性体方程式における境界値逆問題
2000 - 2001 RECONSTRUCTION PROCEDURE FOR INVERSE PROBLEMS
1999 - 2000 Microlocal filtering with multiwavelets
1999 - 2000 Mathematics of reconstruction of the surface of discontinuity inside a body from observation data
1997 - 1999 非等方弾性体方程式におけるStrohの定式化の拡張と応用
1999 - 1999 逆問題の解の構成に関する国際共同研究のための国内準備
1998 - 1999 MATHEMATICAL ANALYSIS FOR INVERSE PROBLEMS IN CONTINUUM MECHANICS
1995 - 1997 Numerical Analysis for Ill-posed Problems Related with Engineering
1996 - 1996 微分可能多様体上のRiemann計量と距離構造
1994 - 1994 フラクタル次元とカオス
1993 - 1993 確率制御理論の研究
1992 - 1992 次元論とフラクタル
1990 - 1991 保存則方程式の解の構造に関する研究
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Papers (37)：
Kazumi Tanuma and Chi-Sing Man. Propagation of Rayleigh Waves in Anisotropic Media and an Inverse Problem in the Characterization of Initial Stress. Mathematical Methods and Models in Composites, Second edition. 2023. 333-383
Kazumi Tanuma, Xiang Xu, Gen Nakamura. Perturbation of Bleustein-Gulyaev Waves in Piezoelectric Media: Barnett and Lothe Integral Formalism Revisited. Journal of Elasticity. 2023. 153. 3. 423-453
Gen Nakamura, Kazumi Tanuma, Xiang Xu. On the Perturbation of Bleustein-Gulyaev Waves in Piezoelectric Media. Mathematical Analysis of Continuum Mechanics and Industrial Applications III, Proceedings of the International Conference CoMFoS18, Mathematics for Industry. 2020. 67-79
Kazumi Tanuma,Chi-Sing Man,Gen Nakamura,Shengzhang Wang. Perturbation and Dispersion of Rayleigh Waves in Anisotropic Elasticity. Technical Report on Mathematics, Hokkaido University. 2008. 135. 41-49
Kazumi Tanuma,Chi-Sing Man,Gen Nakamura,Shengzhang Wang. Perturbation and Dispersion of Rayleigh Waves in Anisotropic Elasticity. Technical Report on Mathematics, Hokkaido University. 2008. 135. 41-49
Kazumi Tanuma,Chi-Sing Man. Perturbation of Rayleigh-wave velocity caused by a fully anisotropic term,. Hokkaido University of Technical Report Series in Mathematics. 2006. 109. 24
Kazumi Tanuma,Chi-Sing Man. Perturbation of Rayleigh-wave velocity caused by a fully anisotropic term,. Hokkaido University of Technical Report Series in Mathematics. 2006. 109. 24
Books (6)：
現象から微積分を学ぼう
日本評論社 2011 ISBN:9784535786479
Stroh Formalism and Rayleigh Waves
Springer 2007 ISBN:9781402063886
Stroh Formalism and Rayleigh Waves
Springer 2007 ISBN:9781402063886
はじめての逆問題(具体例で学ぶ逆からの思考法)
サイエンス社 2002
Surface impedance tensor and boundary value problem
Inverse problems and related topics, Research Notes in Mathematics, Chapman & Hall 2000
Surface waves in anisotropic elasticity and piezoelectricity
(IMI Workshop of the Joint Research Project in Kyusyu University, Practical inverse problems and their prospects 2022)
