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）
T. Kemmochi, Y. Miyatake, and K. Sakakibara
Structure-preserving numerical methods for constrained gradient flows of planar curves with explicit tangential velocities
Japan Journal of Industrial and Applied Mathematics 42 (2025), no. 2, 575--603 (DOI: 10.1007/s13160-024-00684-0)
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
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Published online 2024: 1--37. (DOI: 10.1017/prm.2024.122)
K. Ishii, Y. Kohsaka, N. Miyake, and K. Sakakibara
A thresholding algorithm for Willmore-type flows via fourth-order linear parabolic equation
Interfaces and Free Boundaries 27 (2025), no. 2, 235--283 (DOI: 10.4171/IFB/533)
Y. Giga, J. Okamoto, K. Sakakibara, and M. Uesaka
On a singular limit of the Kobayashi−Warren−Carter energy
Indiana University Mathematics Journal 73 (2024), no. 4, 1453--1491. (DOI: 10.1512/iumj.2024.73.9890)
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)
M. Kolář, S. Yazaki, and K. Sakakibara
Image segmentation of flame front of smoldering experiment by gradient flow of curves
Proceedings of the Conference Algoritmy 2024 (2024), 119--128.
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)
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)
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)
K. Sakakibara
Numerical analysis of constrained total variation flows
Advanced Studies in Pure Mathematics 85 (2020), 349--358. (DOI: 10.2969/aspm/08510349)
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)
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)
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)
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）
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)
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)
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)
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)
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)
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)
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）
Submitted（投稿中）
K. Morikuni, K. Sakakibara, and A. Takatsu
Error estimate for regularized optimal transport problems via Bregman divergence
arXiv:2309.11666
K. Sakakibara
Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis
arXiv:2408.00212
Y. Giga, A. Kubo, H. Kuroda, J. Okamoto, and K. Sakakibara
Piecewise constant profiles minimizing total variation energies of Kobayashi-Warren-Carter type with fidelity
arXiv:2408.04228
M. Nagayama, K. Sakakibara, and K. Takasao
On the existence of a singular limit equation for a model of a self-propelled object motion
arXiv:2507.16447
In revision（修正中）
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）
In preparation（準備中）
C. C. Green, T. Sakajo and K. Sakakibara
Analytical formulae and numerical constructions of harmonic measure distribution functions on a spherical surface
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
Y. Mori, S. Okabe, and K. Sakakibara
TBA
K. Sakakibara and P. Wang
TBA
S. Kobayashi, K. Sakakibara, and T. Uechi
TBA
Non-peer-reviewed articles（査読無し論文（講究録など））
Published（出版済み）
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.
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．
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.
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.
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）
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」34 (2024)，no. 2，113--124 (DOI:10.11540/bjsiam.34.2_113)
In revision（修正中）
Books（書籍）
Published（出版済み）
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）
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）
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
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
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
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