Kanazawa University Directory of Researchers at Kanazawa University

Laboratory Website

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
School of Mathematics and Physics, College of Science and Engineering

Laboratory

H.Notsu Laboratory

Academic Background

【Degree】
Doctor of Mathematics

Career

Kanazawa University Faculty of Mathematics and Physics Professor(2019年04月01日-)
Japan Science and Technology Agency (JST) PRESTO Researcher(2016年10月01日-2020年03月31日)
Kanazawa University Associate Professor(2016年04月01日-2019年03月31日)
Waseda University Associate Professor(2015/04-2016/03)
Waseda University Assistant Professor(2011/04-2015/03)
Meiji University Postdoctoral researcher(2010/04-2011/03)
AIST Postdoctoral researcher(2009/04-2010/03)

Year & Month of Birth

Academic Society

The Japan Society for Industrial and Applied Mathematics (JSIAM)
The Japan Society for Industrial and Applied Mathematics (JSIAM), Assoc. ed. Bull. JSIAM
The Mathematical Society of Japan (MSJ), Comm. mem. Div. Appl. Math.
The Japan Society for Industrial and Applied Mathematics (JSIAM), Assoc. ed. Trans. JSIAM
The Japan Society for Computational Engineering and Science (JSCES)

Award

○しろまるThe best poster award of JSIAM(2010年09月07日)
○しろまるThe best paper award of JSIAM(2003年09月18日)

Numerical analysis of flow problems

• A two-step Lagrange-Galerkin scheme for the shallow water equations with a transmission boundary condition and its application to the Bay of Bengal region—Part I: Flat bottom topography M.M. Rasid, M. Kimura, M.M. Murshed, E.R. Wijayanti, and H. Notsu Mathematics 11 1633 2023年03月28日
• A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems K. Futai, N. Kolbe, H. Notsu, T. Suzuki Journal of Scientific Computing 92 2 37 2022年06月25日
• A shape design problem for the Navier-Stokes flow with a convective boundary condition J.S.H. Simon and H. Notsu Computational and Applied Mathematics 41 167 2022年05月06日
• A shape optimization problem constrained with the Stokes equations to address maximization of vortices J.S.H. Simon, H. Notsu Evolution Equations and Control Theory 2022/01
• A convective boundary condition for the Navier-Stokes equations J.S.H. Simon, H. Notsu Applied Mathematics Letters 128 107876 2021年12月24日
• Second-order finite difference approximations of the upper-convected time derivative D.D. Medeiros, H. Notsu, C.M. Oishi SIAM Journal on Numerical Analysis 59 6 2955-2988 2021年12月02日
• Twin vortex computer in fluid flow K. Goto, K. Nakajima and H. Notsu. New Journal of Physics 23 063051 2021年06月17日
• Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media I. Wijaya, H. Notsu Discrete & Continuous Dynamical Systems - S 14 3 1197-1212 2021/03
• Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition M.M. Murshed, K. Futai, M. Kimura, H. Notsu Discrete & Continuous Dynamical Systems - S 14 3 1063-1078 2021/03
• The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme M. Kimura, H. Notsu, Y. Tanaka and H. Yamamoto Journal of Scientific Computing 78 2 1111-1131 2019
• Chaos in nanomagnet via feedback current T. Taniguchi, N. Akashi, H. Notsu, M. Kimura, H. Tsukahara, K. Nakajima Physical Review B 100 174425 2019
• Multi-axial non-contact in situ micromanipulation by steady streaming around two oscillating cylinders on holonomic miniature robots O. Fuchiwaki, Y. Tanaka, H. Notsu and T. Hyakutake Microfluidics and Nanofluidics 22 80 2018
• Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part II: A linear scheme. M. Lukacova-Medvidova, H. Mizerova, H. Notsu and M. Tabata ESAIM: M2AN 51 1663-1689 2017
• Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part I: A nonlinear scheme M. Lukacova-Medvidova, H. Mizerova, H. Notsu, M. Tabata ESAIM: M2AN 51 1637-1661 2017
• A local analysis of the axisymmetric Navier–Stokes flow near a saddle point and no-slip flat boundary P.-Y. Hsu, H. Notsu and T. Yoneda Journal of Fluid Mechanics 794 444-459 2016
• Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations H. Notsu and M. Tabata ESAIM: M2AN 50 361-380 2016
• Energy dissipative characteristic schemes for the diffusive Oldroyd-B viscoelastic fluid M. Lukáčová, H. Notsu and B. She International Journal for Numerical Methods in Fluids 81 523-557 2016
• Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations H. Notsu and M. Tabata Journal of Scientific Computing 65 940-955 2015
• Theory and practice of Lagrange-Galerkin methods H. Notsu Journal of the Japan Society for Computational Engineering and Science (JSCES) 20 3 21-24 2015
• Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity H. Notsu and M. Kimura Networks and Heterogeneous Media 9 4 617-634 2014
• Performance evaluation of iterative methods for complex symmetric systems from high frequency electromagnetic field simulation M. Ogino, A. Takei, H. Notsu, S. Sugimoto and S. Yoshimura Transaction of JSCES 2014 20140017 2014
• Finite element analysis of high frequency electromagnetic fields using a domain decomposition method based on the COCR method M. Ogino, A. Takei, H. Notsu, S. Sugimoto and S. Yoshimura Theoretical and Applied Mechanics Japan 61 173-181 2013
• Development and L2-analysis of a single-step characteristics finite difference scheme of second order in time for convection-diffusion problems H. Notsu, H. Rui and M. Tabata Journal of Algorithms & Computational Technology 7 3 343-380 2013
• A self-organized mesh generator using pattern formation in a reaction-diffusion system H. Notsu, D. Ueyama and M. Yamaguchi Applied Mathematics Letters 26 201-206 2013
• Finite difference approximation requiring function values on non-grid points M. Tabata and H. Notsu Transactions of the Japan Society for Industrial and Applied Mathematics 22 3 171-179 2012

• A finite element scheme for a multiphase flow model(conference:Mathematical Society of Japan)(2024年03月20日)
• Stabilized Lagrange-Galerkin schemes for viscous and viscoelastic flow problems(conference:Computational Mathematics and Applications Seminar)(2024年03月07日)
• A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems(conference:Seminar on Partial Differential Equations)(2023年10月31日)
• Reservoir computing with fluid flows(conference:Advances in Computational Mechanics (ACM 2023))(2023年10月24日)
• A Lagrangian moving mesh method(conference:Biwako Workshop on Mathematical Biology)(2023年08月17日)
• A mass-preserving two-step Lagrange–Galerkin scheme for convection-diffusion problems(conference:RIMS 共同研究)(2022年10月12日)
• Second-order finite difference approximations of the upper-convected time derivative(conference:WCCM-APCOM 2022)(2022年07月31日)
• Twin vortex computer in fluid flow and a related topic(conference:RIMS Workshop)(2022年07月08日)
• A second-order approximation of the upper-convected time derivative based on the generalized Lie derivative(conference:日本数学会2021年度秋期総合分科会)(2021年09月16日)
• Twin vortex computer in fluid flow(conference:International Conference: Differential Equations for Data Science 2021 (DEDS2021))(2021年03月10日)
• Vorticity maximization for a fluid with a nonlinear do-nothing boundary condition: A shape design approach(conference:第2回若手数学者交流会)(2021年03月14日)
• Vorticity maximization of a linear fluid flow via volume and perimeter constrained shape optimization(conference:Czech-Japanese Seminar in Applied Mathematics (CJS2021))(2021年01月07日)
• A mass-conservative Lagrange-Galerkin scheme of second-order in time for convection-diffusion problems(conference:Czech-Japanese Seminar in Applied Mathematics (CJS2021))(2021年01月07日)
• Three dimensional numerical simulation of the Navier–Stokes equations in straight and curved cylindrical domains(conference:Czech-Japanese Seminar in Applied Mathematics (CJS2021))(2021年01月06日)
• A Lagrangian moving mesh scheme for advection-diffusion equations(2020年12月19日)
• An adaptive Lagrangian finite-volume method for convection-diffusion equations(conference:Czech-Japanese Seminar in Applied Mathematics (CJS2021))(2021年01月06日)
• Development of an accurate Lagrange-Galerkin scheme with adaptive mesh refinement(conference:Extended Kanazawa Analysis Seminar)(2018年11月09日)
• A mass-conservative Lagrange–Galerkin scheme of second-order in time with AMR for convection problems(conference:CJK2018: The Seventh China–Japan–Korea Joint Conference on Numerical Mathematics)(2018年08月21日)
• Numerical analysis of Lagrange-Galerkin schemes for flow problems(conference:International Workshop on Computational Science 2018)(2018年06月30日)
• A mass-conservative Lagrange–Galerkin scheme of second-order in time with adaptive mesh refinement for convection problems(conference:CoMFoS18)(2018年06月18日)
• The gradient flow structure of the Maxwell viscoelastic model and a structure-preserving finite element scheme(conference:KSIAM 2018 Spring Conference)(2018年05月25日)
• The gradient flow structure of the Maxwell viscoelastic model and a structure-preserving finite element scheme(conference:Conference on Mathematical Fluid Dynamics)(2018年05月08日)
• Numerical analysis of the Oseen-type Peterlin viscoelastic model(conference:2018 A3 Fluid Mechanics Workshop)(2018年03月10日)
• Numerical analysis and computation of viscoelastic models(conference:Numerical Analysis: Applications to Biomedical Problems and Foundations)(2018年02月21日)
• Numerical analysis of viscoelastic models(conference:Mini-symposium on Complex Flows: Dynamics of Viscoelastic and Inertioelastic flows)(2018年01月20日)
• A structure-preserving finite element scheme for the Maxwell model(conference:A3 Soft Matter Workshop)(2017年12月21日)
• Numerical analysis of the Oseen-type Peterlin viscoelastic model(conference:The 42nd Sapporo Symposium on Partial Differential Equations)(2017年08月09日)
• A Lagrange-Galerkin scheme for a diffusive Oldroyd-B viscoelastic fluid(conference:Second Joint Workshop of China-Japan-Korea A3 Foresight Program)(2015年11月27日)
• Error estimates of Lagrange-Galerkin schemes for flow problems(conference:International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics)(2015年11月11日)
• Convergence analysis of stable and stabilized Lagrange-Galerkin schemes for natural convection problems(conference:Joint International Conference and Autumn School 2015)(2015年10月07日)
• A stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations and its computation(conference:The 12th Hirschegg Workshop on Conservation Laws)(2015年09月17日)
• Error estimates of stabilized Galerkin-characteristics finite element schemes for incompressible flow problems(conference:The 18th International Conference on Finite Elements in Flow Problems (FEF2015))(2015年03月17日)
• Error estimates of Lagrange-Galerkin finite element schemes for natural convection problems(conference:The 11th Japanese-German International Workshop on Mathematical Fluid Dynamics)(2015年03月12日)
• Linear and nonlinear schemes for an Oseen-type diffusive Peterlin model(conference:The 4th Workshop on Mathematical Analysis for Nonlinear Phenomena)(2016年02月13日)
• Error estimates of a stabilized Lagrange-Galerkin scheme for an Oseen-type diffusive Peterlin model(conference:International Conference CoMFoS15: Mathematical Analysis of Continuum Mechanics and Industrial Applications)(2015年11月18日)
• Error estimates of stabilized Lagrange-Galerkin finite element schemes for flow problems(conference:2015 A3 joint Workshop on Fluid Dynamics and Material Science)(2015年02月13日)
• A stabilized Galerkin-characteristics finite element scheme for the Navier-Stokes equations and its applications(conference:Workshop: Numerical Methods and Analysis for Structures and Singularities in Fluids)(2014年12月09日)
• A stabilized Galerkin-characteristics finite element scheme for the Navier-Stokes equations:theory, computations and applications(conference:International Conference on Mathematical Fluid Dynamics, Present and Future)(2014年11月14日)
• Stabilized Galerkin-characteristics finite element schemes for flow problems(conference:The Ninth International Conference on Engineering Computational Technology (ECT 2014))(2014年09月05日)
• A stabilized characteristics finite element scheme for three-dimensional flow problems(conference:The Fifth China-Japan-Korea Conference on Numerical Mathematics)(2014年08月27日)
• Error estimates of a stabilized characteristics finite element scheme for the Navier-Stokes equations(conference:International Congress of Mathematicians (ICM 2014))(2014年08月19日)
• Computation and numerical analysis of viscous and viscoelastic fluid flows(conference:Workshop on Numerical Methods and Analysis for Structures and Singularities in Fluids II)(2017年01月30日)