Method of fundamental solutions for biharmonic equation based on Almansi-type decomposition K Sakakibara Applications of Mathematics 62 (4), 297-317, 2017 | 12 | 2017 |

Structure‐preserving numerical scheme for the one‐phase Hele‐Shaw problems by the method of fundamental solutions K Sakakibara, S Yazaki Computational and Mathematical Methods 1 (6), e1063, 2019 | 10 | 2019 |

A fully discrete curve-shortening polygonal evolution law for moving boundary problems K Sakakibara, Y Miyatake Journal of Computational Physics 424, 109857, 2021 | 8 | 2021 |

Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries K Sakakibara BIT Numerical Mathematics 56 (4), 1369-1400, 2016 | 8 | 2016 |

Bidirectional numerical conformal mapping based on the dipole simulation method K Sakakibara Engineering Analysis with Boundary Elements 114, 45-57, 2020 | 7 | 2020 |

Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions K Sakakibara Japan Journal of Industrial and Applied Mathematics 34 (1), 177-228, 2017 | 6 | 2017 |

On invariance of schemes in the method of fundamental solutions K Sakakibara, S Yazaki Applied Mathematics Letters 73, 16-21, 2017 | 5 | 2017 |

A new numerical scheme for discrete constrained total variation flows and its convergence Y Giga, K Sakakibara, K Taguchi, M Uesaka Numerische Mathematik 146 (1), 181-217, 2020 | 4 | 2020 |

On a singular limit of the Kobayashi--Warren--Carter energy Y Giga, J Okamoto, K Sakakibara, M Uesaka arXiv preprint arXiv:2205.14314, 2022 | 3 | 2022 |

A simple numerical method for Hele–Shaw type problems by the method of fundamental solutions K Sakakibara, Y Shimoji, S Yazaki Japan Journal of Industrial and Applied Mathematics 39 (3), 869-887, 2022 | 2 | 2022 |

Method of fundamental solutions with weighted average condition and dummy points K Sakakibara, S Yazaki JSIAM Letters 9, 41-44, 2017 | 2 | 2017 |

A mathematical analysis of the complex dipole simulation method M KATSURADA, K SAKAKIBARA Tokyo Journal of Mathematics 38 (2), 309-326, 2015 | 2 | 2015 |

Fractional time differential equations as a singular limit of the Kobayashi-Warren-Carter system Y Giga, A Kubo, H Kuroda, J Okamoto, K Sakakibara, M Uesaka arXiv preprint arXiv:2306.15235, 2023 | 1 | 2023 |

Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities T Kemmochi, Y Miyatake, K Sakakibara arXiv preprint arXiv:2208.00675, 2022 | 1 | 2022 |

Asymptotic behavior of fronts and pulses of the bidomain model H Matano, Y Mori, M Nara, K Sakakibara SIAM Journal on Applied Dynamical Systems 21 (1), 616-649, 2022 | 1 | 2022 |

A threshold-type algorithm to the gradient flow of the Canham-Helfrich functional K Ishi, Y Kohsaka, N Miyake, K Sakakibara arXiv preprint arXiv:2311.13155, 2023 | | 2023 |

Error estimate for regularized optimal transport problems via Bregman divergence K Morikuni, K Sakakibara, A Takatsu arXiv preprint arXiv:2309.11666, 2023 | | 2023 |

On the reaction–diffusion type modelling of the self-propelled object motion M Nagayama, H Monobe, K Sakakibara, KI Nakamura, Y Kobayashi, ... Scientific reports 13 (1), 12633, 2023 | | 2023 |

Numerical analysis for the Plateau problem by the method of fundamental solutions K Sakakibara, Y Shimizu arXiv preprint arXiv:2212.06508, 2022 | | 2022 |

Numerical analysis of constrained total variation flows and its application to the Kobayashi-Warren-Carter model (Recent developments on inverse problems for partial … K Sakakibara 数理解析研究所講究録 2186, 1-8, 2021 | | 2021 |