On invariance of schemes in the method of fundamental solutions. - Koya Sakakibara; Shigetoshi Yazaki (Appl. Math. Lett., 2017)

Method of fundamental solutions with weighted average condition and dummy points. - Koya Sakakibara; Shigetoshi Yazaki (JSIAM Lett., 2017)

Structure-preserving numerical scheme for the one-phase Hele-Shaw problems by the method of fundamental solutions. - Koya Sakakibara; Shigetoshi Yazaki (Comput. Math. Methods, 2019)

Bidirectional numerical conformal mapping based on the dipole simulation method. - Koya Sakakibara (CoRR, 2019)

Numerical approach to three-dimensional model of cellular electrophysiology by the method of fundamental solutions. - Ken-Ichi Nakamura; Koya Sakakibara; Shigetoshi Yazaki (JSIAM Lett., 2019)

A new numerical scheme for discrete constrained total variation flows and its convergence. - Yoshikazu Giga; Koya Sakakibara; Kazutoshi Taguchi; Masaaki Uesaka (Numerische Mathematik, 2020)

A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions. - Koya Sakakibara; Yusaku Shimoji; Shigetoshi Yazaki (CoRR, 2021)

A fully discrete curve-shortening polygonal evolution law for moving boundary problems. - Koya Sakakibara; Yuto Miyatake (J. Comput. Phys., 2021)

Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities. - Tomoya Kemmochi; Yuto Miyatake; Koya Sakakibara (CoRR, 2022)

Asymptotic Behavior of Fronts and Pulses of the Bidomain Model. - Hiroshi Matano; Yoichiro Mori; Mitsunori Nara; Koya Sakakibara (SIAM J. Appl. Dyn. Syst., 2022)

Error estimate for regularized optimal transport problems via Bregman divergence. - Keiichi Morikuni; Koya Sakakibara; Asuka Takatsu (CoRR, 2023)

A threshold-type algorithm to the gradient flow of the Canham-Helfrich functional. - Katsuyuki Ishi; Yoshihito Kohsaka; Nobuhito Miyake; Koya Sakakibara (CoRR, 2023)

Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis. - Koya Sakakibara (CoRR, 2024)

Numerical Analysis of the Plateau Problem by the Method of Fundamental Solutions. - Koya Sakakibara; Yuuki Shimizu (J. Sci. Comput., 2024)