This is a webpage of Hirofumi Notsu, PhD(Math): RG RM KU CV Publications
Professor, Kanazawa University

What's New:
  • Preprint: M. Machida, H. Notsu and J.F.T. Rabago. A shape-optimization approach for inverse diffusion problems using a single boundary measurement.   arXiv:2503.14764[math.NA]

  • J.F.T. Rabago, L. Afraites and H. Notsu. Detecting immersed obstacle in Stokes fluid flow using the coupled complex boundary method. SIAM Journal on Control and Optimization, Vol.63, pp.822-851, 2025.   doi:10.1137/24M1647369 arXiv:2403.11819[math.OC]

  • Preprint: T.G. de Jong, H. Notsu and K. Nakajima. Harnessing omnipresent oscillator networks as computational resource. arXiv:2502.04818[cs.LG]

  • Published: K.S. Putri, T. Mizuochi, N. Kolbe, and H. Notsu. Error estimates for first- and second-order Lagrange-Galerkin moving mesh schemes for the one-dimensional convection-diffusion equation.
    Journal of Scientific Computing, Vol.101:37, 2024.
    doi:10.1007/s10915-024-02673-4 (OA)
    arXiv:2402.14691[math.NA]

  • 野津裕史.   微分と差分と数値解析.   数学セミナー, 6月号, pp.36-41, 2024.   Link

  • Published: A. Rudiawan, A. Zak, M. Benes, M. Kimura and H. Notsu. An energy estimate and a stabilized Lagrange-Galerkin scheme for a multiphase flow model. Applied Mathematics Letters, Vol.153:109059, 2024.
    doi:10.1016/j.aml.2024.109059 (OA)　

  • Published: T.G. de Jong, N. Akashi, T. Taniguchi, H. Notsu, and K. Nakajima. Virtual reservoir acceleration for CPU and GPU: Case study for coupled spin-torque oscillator reservoir.   Machine Learning with New Compute Paradigms at NeurIPS 2023.   Link at OpenReview.net

  • Published: J.F.T. Rabago and H. Notsu. Numerical solution to a free boundary problem for the Stokes equation using the coupled complex boundary method in shape optimization settings.   Applied Mathematics and Optimization, Vol.89:2, 2023.
    doi:10.1007/s00245-023-10065-7
    arXiv:2302.11828[math.OC]

  • Published: M.M. Rasid, M. Kimura, M.M. Murshed, E.R. Wijayanti, and H. Notsu. 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.   Mathematics, Vol.11(2023), 1633.   doi:10.3390/math11071633 (OA)

  • J.S.H. Simon (third-year Ph.D. student) received Kanazawa University President's Award (学長賞) on September 26, 2022 (in J).

  • Published: K. Futai, N. Kolbe, H. Notsu and T. Suzuki. A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems. Journal of Scientific Computing, Vol.92(2022), 37.
    doi:10.1007/s10915-022-01885-w (OA)

  • Published: J.S.H. Simon and H. Notsu. A shape design problem for the Navier-Stokes flow with a convective boundary condition. Computational and Applied Mathematics, Vol.41(2022), 167.
    doi:10.1007/s40314-022-01876-5 (OA)

  • HN received the achievement award (功労表彰) from KU on March 18, 2022 (in J).

  • Published: J.S.H. Simon and H. Notsu. A shape optimization problem constrained with the Stokes equations to address maximization of vortices. Evolution Equations and Control Theory, Vol.11(2022), pp.1873–1902.
    doi:10.3934/eect.2022003 (OA)

  • Published: J.S.H. Simon and H. Notsu. A convective boundary condition for the Navier-Stokes equations. Applied Mathematics Letters, Vol.128(2022), 107876.
    doi:10.1016/j.aml.2021.107876 (OA)

  • Published: D.O. Medeiros, H. Notsu and C.M. Oishi. Second-order finite difference approximations of the upper-convected time derivative. SIAM Journal on Numerical Analysis, Vol.59(2021), pp.2955-2988.
    doi:10.1137/20M1364990 (OA)