論文・本・記事
Articles, Books & Reports

Some of my papers can be found on ResearchGate or arXiv.

Peer-reviewed articles（査読付き論文）

コメント付き論文リストはこちら．

Published（出版済み）

1. K. Sakakibara and Y. Shimizu
   Numerical analysis of the Plateau problem by the method of fundamental solutions
   Journal of Scientific Computing 100 (2024), article number 2, 20 pp. (DOI: 10.1007/s10915-024-02551-z)

2. M. Nagayama, H. Monobe, K. Sakakibara, K.-I. Nakamura, Y. Kobayashi, and H. Kitahata
   On the reaction-diffusion type modelling of the self-propelled object motion
   Scientific Reports 13 (2023), 12633, 10 pp. (DOI: 10.1038/s41598-023-39395-w)

3. K. Sakakibara, Y. Shimoji, and S. Yazaki
   A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions
   Japan Journal of Industrial and Applied Mathematics 39 (2022), no. 3, 869--887 (Special Issue on Czech-Japanese Seminar in Applied Mathematics 2021 (CJS2021), DOI: 10.1007/s13160-022-00530-1)

4. H. Matano, Y. Mori, M. Nara, and K. Sakakibara
   Asymptotic behavior of fronts and pulses of the bidomain model
   SIAM Journal on Applied Dynamical Systems 21 (2022), no. 1, 616--649. (DOI: 10.1137/21M1416904)

5. K. Sakakibara
   Numerical analysis of constrained total variation flows
   Advanced Studies in Pure Mathematics 85 (2020), 349--358. (DOI: 10.2969/aspm/08510349)

6. K. Sakakibara and Y. Miyatake
   A fully discrete curve-shortening polygonal evolution law for moving boundary problems
   Journal of Computational Physics 424 (2021), 109857, 22 pp. (DOI: 10.1016/j.jcp.2020.109857)

7. Y. Giga, K. Sakakibara, K. Taguchi, and M. Uesaka
   A new numerical scheme for discrete constrained total variation flows and its convergence
   Numerische Mathematik 146 (2020), 181--217. (DOI: 10.1007/s00211-020-01134-y)

8. K. Sakakibara
   Bidirectional numerical conformal mapping based on the dipole simulation method
   Engineering Analysis with Boundary Elements 114 (2020), 45--57. (DOI: 10.1016/j.enganabound.2020.01.009)

9. K. Sakakibara and S. Yazaki
   Structure-preserving numerical scheme for the one-phase Hele-Shaw problems by the method of fundamental solutions
   Computational and Mathematical Methods 1 (2019), no. 6, 25 pp. (DOI: 10.1002/cmm4.1063）

10. K.-I. Nakamura, K. Sakakibara, and S. Yazaki
    Numerical approach to three-dimensional model of cellular electrophysiology by the method of fundamental solutions
    JSIAM Letters 11 (2019), 17--20. (DOI: 10.14495/jsiaml.11.17)

11. K. Sakakibara
    Method of fundamental solutions for biharmonic equation based on Almansi-type decomposition
    Applications of Mathematics 62 (2017), no. 4, 297--317. (DOI: 10.21136/AM.2017.0018-17)

12. K. Sakakibara and S. Yazaki
    Method of fundamental solutions with weighted average condition and dummy points
    JSIAM Letters 9 (2017), 41--44. (DOI: 10.14495/jsiaml.9.41)

13. K. Sakakibara and S. Yazaki
    On invariance of schemes in the method of fundamental solutions
    Applied Mathematics Letters 73 (2017), 16--21. (DOI: 10.1016/j.aml.2017.04.018)

14. K. Sakakibara
    Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions
    Japan Journal of Industrial and Applied Mathematics, 34 (2017), no. 1, 177--228 (DOI: 10.1007/s13160-017-0241-4)

15. K. Sakakibara
    Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries
    BIT Numerical Mathematics 56 (2016), no. 4, 1369--1400. (DOI: 10.1007/s10543-016-0605-1)

16. K. Sakakibara and M. Katsurada
    A Mathematical Analysis of the Complex Dipole Simulation Method
    Tokyo Journal of Mathematics 38 (2015), no. 2, 309--326 (DOI: 10.3836/tjm/1452806041)

Accepted（受理済み）

17. Y. Giga, J. Okamoto, K. Sakakibara, and M. Uesaka
    On a singular limit of the Kobayashi−Warren−Carter energy
    accepted by Indiana University Mathematics Journal (arXiv:2205.14314)

Submitted（投稿中）

18. T. Kemmochi, Y. Miyatake, and K. Sakakibara
    Structure-preserving numerical methods for constrained gradient flows of planar curves with explicit tangential velocities
    arXiv:2208.00675

19. K. Morikuni, K. Sakakibara, and A. Takatsu
    Error estimate for regularized optimal transport problems via Bregman divergence
    arXiv:2309.11666

20. K. Ishii, Y. Kohsaka, N. Miyake, and K. Sakakibara
    A threshold-type algorithm to the gradient flow of the Canham-Helfrich functional
    arXiv:2311.13155

21. M. Kolář, S. Yazaki, and K. Sakakibara
    Image segmentation of flame front of smoldering experiment by gradient flow of curves

In revision（修正中）

22. 榊原 航也
    基本解近似解法の現状
    日本数学会「数学」論説（招待論文）

23. Y. Giga, A. Kubo, H. Kuroda, J. Okamoto, K. Sakakibara and M. Uesaka
    Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system
    arXiv:2306.15235

In preparation（準備中）

1. C. C. Green, T. Sakajo and K. Sakakibara
   Analytical formulae and numerical constructions of harmonic measure distribution functions on a spherical surface

2. K. Sakakibara
   Analysis of the MFS-QR method for the Laplace equation

3. T. Ishiwata, M. Kimura, K. Sakakibara, T. Tanaka, and S. Yazaki
   Hexagonal generalized crystalline motion Part I: admissible singularities and a simplified snow crystal growth model

4. Y. Giga, A. Kubo, H. Kuroda, J. Okamoto, and K. Sakakibara
   On total variation energies of Kobayashi–Warren–Carter type

Non-peer-reviewed articles（査読無し論文（講究録など））

Published（出版済み）

1. 榊原 航也
   Numerical analysis of constrained total variation flows and its application to the Kobayashi-Warren-Carter model
   数理解析研究所講究録 2186 (2021), 8 pp.

2. 榊原 航也
   様々な Hele-Shaw 型問題に対する基本解近似解法による構造保存型数値解法
   数学と現象：Mathematics and Phenomena in Miyazaki 2018 報告集，17 pp．

3. 榊原 航也
   Kobayashi-Warren-Carterモデルの数値解析〜結晶粒界の可視化に向けて〜
   数理解析研究所講究録 2094 (2018), 1--5.

4. 榊原 航也
   Almansi型分割に基づいた重調和方程式に対する基本解近似解法
   数理解析研究所講究録 2037 (2017), 85--95.

5. 榊原 航也 (Koya SAKAKIBARA)，矢崎成俊 (Shigetoshi YAZAKI)
   代用電荷法による Hele-Shaw 問題の数値計算 (A charge simulation method for the computation of Hele-Shaw problems)
   数理解析研究所講究録 1957 (2015), 116--133.

Submitted（投稿中）

6. 榊原 航也
   基本解近似解法の移動境界問題・複素解析への応用
   日本応用数理学会誌「応用数理」論文

In revision（修正中）

Books（書籍）

Published（出版済み）

1. 榊原 航也
   基本解近似解法の理論と応用
   応用数学勉強会2017レクチャーノート（サポートページ）

2. 鬼塚 政一，榊原 航也，濱谷 義弘
   例題で学ぶはじめての微分方程式
   培風館，2024年4月18日
   Amazon，楽天ブックス

Some reports（その他の記事）

1. 榊原 航也，杉谷 宜紀
   East Asia Section of SIAM (EASIAM) 2014 参加報告
   JSIAM Online Magazine（学術会合報告），2014/9/13

2. 榊原 航也
   チェコ工科大学応用数学グループの紹介
   JSIAM Online Magazine（ラボラトリーズ），2016/6/11

3. 榊原 航也
   日本応用数理学会第19回研究部会連合発表会開催報告
   JSIAM Online Magazine（学術会合報告），2023/6/29

4. 榊原 航也
   「若手の会」研究部会の紹介
   日本応用数理学会学会誌「応用数理」（研究部会だより），投稿中