- 2022 - 2025 Fast and accurate eigenvalue calculations by hierarchical low-rank approximation and its application to large-scale electronic structure calculations
- 2021 - 2025 Computer-assisted solution verification for 3D flows with large Reynolds numbers
- 2020 - 2025 物理学・情報科学に共通する大規模行列関数の総合的数値計算法の創成
- 2019 - 2024 Innovative Methods for Scientific Computing in the Exascale Era by Integrations of (Simulation+Data+Learning)
- 2020 - 2023 疎行列を係数とする線形方程式の反復解法と精度保証付き数値計算法の融合
- 2016 - 2019 Development of accurate algorithms for numerical linear algebra
- 2016 - 2018 Development of Technologies of High Performance Computing for Accuracy Assurance
- 2011 - 2015 Development of robust and efficient algorithms in numerical linear algebra
- 2007 - 2010 Research on fast and accurate verified numerical computations for large-scale systems of linear equations
- 2008 - 悪条件行列の高精度な分解に関する研究
- 2004 - 2006 大規模疎行列系連立一次方程式の数値解の高速な精度保証法に関する研究
- 2005 - 数値線形シミュレーションの精度保証に関する研究
- 2001 - 浮動小数点演算による内積計算の高速・高精度計算に関する研究
- 2000 - 線形問題に対する精度保証付き数値計算
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