Associate Professor SAKAKIBARA, Koya
Faculty, Affiliation
Faculty of Mathematics and Physics, Institute of Science and Engineering
College and School Educational Field
Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology
Course in Computational Science, School of Mathematics and Physics, College of Science and Engineering
Laboratory
Academic Background
【Academic background(Doctoral/Master's Degree)】
The University of Tokyo Doctor Graduate School of Mathematical Sciences 201703 Completed
Meiji University Master Graduate School of Science and Technology Department of Mathematics 201403 Completed
【Academic background(Bachelor's Degree)】
Meiji University Department of Mathematics 201203
【Degree】
Master's degree in Science
Bachelor's degree in Science
Career
Kanazawa University Institute of Science and Engineering Faculty of Mathematics and Physics Associate Professor(2023/04-)
Okayama University of Science Faculty of Science Department of Applied Mathematics Lecturer(2020/04-2023/03)
RIKEN iTHEMS Visiting Scientist(2018/06-)
Kyoto University Graduate School of Science Program-Specific Assistant Professor(2018/04-2020/03)
The University of Tokyo Graduate School of Mathematical Sciences Project Researcher(2017/04-2018/03)
Year & Month of Birth
1990/03
Academic Society
THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
THE MATHEMATICAL SOCIETY OF JAPAN
Award
THE MATHEMATICAL SOCIETY OF JAPAN
THE MATHEMATICAL SOCIETY OF JAPAN
○Excellent Poster Award in Annual Meeting 2018(2018/09)
○Dean's award of the Graduate School of Mathematical Sciences(2017/03)
Specialities
Numerical analysis、Numerical analysis
Speciality Keywords
Material sciences,Moving boundary problem,Structure-preserving numerical method,Fluid dynamics,Numerical analysis
Research Themes
Mathematical analysis of the method of fundamental solutions
To construct a mathematical framework of the method of fundamental solutions, which is a mesh-free solution method for partial differential equations.
Structure-preserving numerical analysis of moving boundary problems
We develop a mathematical theory of moving boundary problems to study interfacial phenomena that change from moment to moment, and (if possible) propose a numerical scheme that preserves their mathematical structure.
Books
Papers
- Numerical Analysis of the Plateau Problem by the Method of Fundamental Solutions Koya Sakakibara,Yuuki Shimizu Journal of Scientific Computing 100 1 2024/05/17
- A simple numerical method for Hele–Shaw type problems by the method of fundamental solutions Koya Sakakibara,Yusaku Shimoji,Shigetoshi Yazaki Japan Journal of Industrial and Applied Mathematics 39 3 869 2022/12
- On the reaction–diffusion type modelling of the self-propelled object motion Masaharu Nagayama,Harunori Monobe,Koya Sakakibara,Ken-Ichi Nakamura,Yasuaki Kobayashi,Hiroyuki Kitahata Scientific Reports 13 1 2023/08/03
- Asymptotic behavior of fronts and pulses of the bidomain model Hiroshi Matano,Yoichiro Mori,Mitsunori Nara,Koya Sakakibara SIAM Journal on Applied Dynamical Systems 21 1 616 2022/03
- Numerical analysis of constrained total variation flows Koya Sakakibara The Role of Metrics in the Theory of Partial Differential Equations 85 349 2020
- A fully discrete curve-shortening polygonal evolution law for moving boundary problems Koya Sakakibara,Yuto Miyatake Journal of Computational Physics 424 109857 2021/01
- A new numerical scheme for discrete constrained total variation flows and its convergence Yoshikazu Giga,Koya Sakakibara,Kazutoshi Taguchi,Masaaki Uesaka Numerische Mathematik 146 1 181 2020/09
- Bidirectional numerical conformal mapping based on the dipole simulation method Koya Sakakibara Engineering Analysis with Boundary Elements 114 45 2020/05
- Structure‐preserving numerical scheme for the one‐phase Hele‐Shaw problems by the method of fundamental solutions Koya Sakakibara,Shigetoshi Yazaki Computational and Mathematical Methods 1 6 2019/11
- Numerical approach to three-dimensional model of cellular electrophysiology by the method of fundamental solutions Ken-Ichi Nakamura,Koya Sakakibara,Shigetoshi Yazaki JSIAM Letters 11 17 2019
- Method of fundamental solutions for biharmonic equation based on Almansi-type decomposition Koya Sakakibara Applications of Mathematics 62 4 297 2017/07/31
- Method of fundamental solutions with weighted average condition and dummy points Koya Sakakibara,Shigetoshi Yazaki JSIAM Letters 9 41 2017
- On invariance of schemes in the method of fundamental solutions Koya Sakakibara,Shigetoshi Yazaki Applied Mathematics Letters 73 16 2017/11
- Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions Koya Sakakibara Japan Journal of Industrial and Applied Mathematics 34 1 177 2017/04
- Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries Koya Sakakibara BIT Numerical Mathematics 56 4 1369 2016/12
- On a singular limit of the Kobayashi-Warren-Carter energy Yoshikazu Giga,Jun Okamoto,Koya Sakakibara,Masaaki Uesaka Indiana University Mathematics Journal 73 4 1453 2024
- A Mathematical Analysis of the Complex Dipole Simulation Method Koya Sakakibara,Masashi Katsurada Tokyo Journal of Mathematics 38 2 2015/12/01
- Image segmentation of flame front of smoldering experiment by gradient flow of curves Miroslav Kolář,Shgietoshi Yazaki,Koya Sakakibara Proceedings of the Conference Algoritmy 2024 119 2024/09
Conference Presentations
- Structure-preserving numerical schemes for the one-phase Hele-Shaw problems by the charge simulation method(conference：First International ACCA-UK/JP Workshop)(2015/03)
- Mathematical modeling and numerical study of fingering instability in Hele-Shaw problem(conference：ALGORITMY 2016)(2016/03)
- Structure-preserving numerical scheme for the one-phase Hele-Shaw problems by the method of fundamental solutions combined with the uniform distribution method(conference：The 2nd Joint Conference of A3 Foresight Program: Mathematics of Fluid Dynamics and Material Sciences)(2015/11)
- A mathematical analysis of the charge simulation method in doubly-connected regions(conference：2nd Slovak-Japan Conference on Applied Mathematics)(2014/09)
- Analysis of the invariant scheme for MFS in doubly-connected regions(conference：East Asia Section of SIAM (EASIAM) 2016)(2016/06)
- Numerical experiments of the charge simulation method for Hele-Shaw flow(conference：2nd Slovak-Japan Conference on Applied Mathematics)(2014/09)
- Structure-preserving numerical scheme for the one-phase Hele-Shaw problems by the method of fundamental solutions combined with the uniform distribution method(conference：Ne\v{c}as seminar on continuum mechanics)(2016/02/29)
- Charge or dipole simulation method for approximation of complex analytic functions(conference：ICRAPAM 2014: International Conference on Recent Advances in Pure and Applied Mathematics)(2014/11)
- Structure-preserving numerical schemes for the one-phase interior/exterior Hele-Shaw problems by the charge simulation method(conference：ICIAM 2015: The 8th International Congress on Industrial and Applied Mathematics)(2015/08)
- Numerical analysis of one-harmonic equation with values in matrix Lie group(conference：The 11th Mathematical Society of Japan (MSJ) Seasonal Institute (SI) "The Role of Metrics in the Theory of Partial Differential Equations")(2018/07)
- Numerical conformal mappings by the dipole simulation method(conference：JSPS A3 Foresight Program: Modeling and Simulation of Hierarchical and Heterogeneous Flow System with Applications to Materials Science III)(2016/11)
- Structure-preserving numerical scheme for the one-phase Hele-Shaw problem by the method of fundamental solutions combined with the uniform distribution method(conference：A3 Workshop on Computational Fluid Dynamics and Numerical Analysis)(2017/02)
- Asymptotic analysis of the invariant scheme for the method of fundamental solutions applied to potential problems in doubly-connected regions(conference：Czech-Japanese-Polish Seminar in Applied Mathematics 2016)(2016/09)
- Numerical analysis of method of fundamental solutions applied to Helmholtz-type equations(conference：ICIAM2019: International Congress on Industrial and Applied Mathematics)(2019/07)
- Bidirectional numerical conformal mapping based on the dipole simulation method(conference：A3 Workshop on fluid dynamics and related topics)(2019/03)
- Numerical analysis of the one-harmonic map flow with values constrained to a Riemannian manifold(conference：CJK 2018: The Seventh China-Japan-Korea Joint Conference on Numerical Mathematics)(2018/08)
- Numerical scheme for solving Hele-Shaw problems based on the method of fundamental solutions(conference：ANZIAM2019)(2019/02)
- Numerical conformal mapping based on the dipole simulation method(conference：SIAM: East Asia Section Conference 2017)(2017/06)
- Numerical analysis of discrete total variation flow with manifold constraint(conference：Geometric Analysis and General Relativity)
- Numerical analysis of constrained total variation flows(conference：ODE-JP-2019)(2019/09)
- Method of fundamental solutions for biharmonic equation based on Almansi-type decomposition(2016/10)
- Method of fundamental solutions for biharmonic equation based on Almansi-type decomposition(conference：Third International ACCA-UK/JP Workshop)(2017/03)
- Numerical analysis of one-harmonic map flow with values constrained to a matrix Lie group(conference：Czech-Japanese Seminar in Applied Mathematics 2018, Hotel Noto Kinpura)(2018/07)
- Numerical analysis of point vortex dynamics by the method of fundamental solutions(conference：Fourth International ACCA-UK/JP Workshop)(2018/03)
- Unified numerical scheme for several types of Hele-Shaw problems by the method of fundamental solutions(conference：The 5th Joint Workshop of A3 Foresight Program "Mathematics of Biology, Fluid Dynamics and Material Sciences")(2018/10)
- Numerical analysis of constrained total variation flows(conference：Mathematical Aspects of Surface and Interface Dynamics 18)(2019/10)
- Numerical analysis of Kobayashi-Warren-Carter model: toward visualization of the grain boundary(2017/11)
- Numerical conformal mapping based on the dipole simulation method(conference：Equadiff 2017)(2017/07)
- Structure-preserving numerical scheme for Hele-Shaw problems by the method of fundamental solutions(conference：International Workshop on the Multi-Phase Flow: Analysis, Modeling and Numerics)(2016/11)
- Numerical analysis of the method of fundamental solutions applied to Helmholtz-type equations(conference：Mini-symposium on Verified Computing and Computer-Assisted Proof)(2019/09)
- Vortex dynamics on minimal surface(2017/01)
- Structure-preserving numerical scheme for polygonal moving boundary pboelms(conference：ANZIAM 2020)
- Mathematical analysis of the method of fundamental solutions applied to Helmholtz-type equations(conference：EASIAM2019)(2019/06)
- Regularization of the optimal transport problem by the Bregman divergence(conference：One-day mini-symposium of "Czech–Japanese Seminar in Applied Mathematics")(2023/08/18)
- Structure-preserving numerical analysis of moving boundary problems with stabilization by tangential velocity(2023/06/05)
- Numerical analysis of the minimal surface by the method of fundamental solutions(conference：Workshop on Applied Mathematics and Scientific Computing)(2023/01/11)
- Regularization of optimal transport problems by Bregman divergence(conference：Seminar on Partial Differential Equations)(2023/10/31)
- Interface model of the self-propelled object motion with shape change(conference：RIMS Conference "Multidisciplinary Research on Nonlinear Phenomena: Modeling, Analysis and Applications")(2023/11/10)
- Reaction-diffusion type modeling of self-propelled object motion and its singular limit(conference：ALGORITMY 2024)(2024/03/19)
Others
Arts and Fieldwork
Patent
Theme to the desired joint research
○Numerical analysis of optimal transport theory
○Mathematical and numerical analysis of interfacial phenomena in materials science, fluid mechanics, etc.
Grant-in-Aid for Scientific Research
○「多様な複雑現象の記述に向けた複素特異点解析の深化」(2023-2027)
○「離散複素解析学の基盤創出」(2022-2024)
○「基本解近似解法による流体現象の高精度数値解析」(2018-2022)
○「界面科学・材料科学に現れるSobolev幾何学流の数学・数値解析」(2022-2025)
Competitive research funding,Contribution
Collaborative research,Consignment study
Classes (Bachelors)
○Selected Topics(2023)
○Mathematical modeling and simulation b(2023)
○Advanced Calculus 3B(2023)
○Selected Topics(2023)
○Mathematical modeling and simulation a(2023)
○Advanced Calculus 3B(2023)
○Mathematical modeling and simulation b(2023)
○Mathematical modeling and simulation a(2023)
Classes (Graduate Schools)
○Laboratory Rotation I(2023)
○Laboratory RotationⅠ(2023)
○Special Lectures on Computational Science(2023)
○Special Lectures on Computational Science(2023)
○Basics of Applied Analysis a(2023)
○Basics of Applied Analysis b(2023)
○Basics of Applied Analysis b(2023)
○Basics of Applied Analysis a(2023)