2011 - 2015 A study of a high accurate numerical method for the inverse problem in the wave equation
2010 - 2012 Study of Inverse Problems for Family of Elasticity Equations
2009 - 2011 Development of representation of elastic waves and investigation of their fundamental properties
2008 - 2010 A study of numerical method for the coefficient identification problem in elastic wave field with real measured data
2008 - 2010 再生核ヒルベルト空間による逆問題数値解析手法の開発
2007 - 2009 Foundation of high accuracy computational methods on the multiple-precision computer environment and its applications to analysi of inverse problems
2007 - 2009 Reconstruction schemes for inverse problems identifying unknown oefficients and boundaries for partial differential equations
2006 - 2009 Development of highly accurate numerical method based on finite differences and its application to ill-posed problems of partial differential equations.
2007 - 2008 Mathematical Analysis for Inverse Scattering Problems of Elastic Waves
2006 - 2007 MRE法による生体内部の仮想的触診に不可欠な数理解析法の確立に向けて
2005 - 2007 波動場における係数・欠陥同定問題に対する数値解法の研究
2005 - 2007 産業数学における逆問題の高速数値解法の理論と実用化
2003 - 2004 Analysis of fundamental properties of elastic equations
2002 - 2004 Direct numerical solution to the inverse boundary-value problem of elliptic equations by using the adjoint variational method.
1998 - 2000 Mathematical analysis of flows directly associated with environmental problems.
係数同定逆問題に対する数値計算法
Numerical Algorithm for the Inverse Coefficient Problem
SHIROTA Kenji. 248 A Numerical Algorithm for the Coefficient Identification of the Wave Equation using the Alternating Directions Method. The Computational Mechanics Conference. 2001. 2001. 14. 219-220
SHIROTA Kenji, ONISHI Kazuei, NAKAMURA Gen. A Numerical Method for the Electrocardiography with Conductivity Identification. Proceedings of the conference on computational engineering and science. 1997. 2. 2. 777-780
$H^1$ gradient type method for the coefficient identification problem in scalar wave equation
(2018)
$H^1$ gradient method for a coefficient identification problem of the scalar wave equation
(The 9th International Conference ``Inverse Problems: Modeling and Simulation'' 2018)
A numerical method for the coefficient identification problem in a wave-type PDE by using the topology optimization
(2017)