PENG Linyu

写真a

Affiliation

Faculty of Science and Technology, Department of Mechanical Engineering （Yagami）

Position

Associate Professor

Related Websites

External Links
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Career 【 Display / hide 】

  • 2013.10
    -
    2015.03

    Waseda University, Junior Researcher

  • 2015.04
    -
    2017.03

    Waseda University , Assistant Professor

  • 2017.04
    -
    2020.03

    Waseda University, Assistant Professor

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Academic Background 【 Display / hide 】

  • 2004.09
    -
    2008.06

    Beijing Institute of Technology

    University, Graduated

  • 2008.09
    -
    2010.07

    Beijing Institute of Technology

    Graduate School, Completed, Master's course

  • 2010.10
    -
    2013.07

    University of Surrey

    Graduate School, Completed, Doctoral course

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Academic Degrees 【 Display / hide 】

  • PhD, University of Surrey, Coursework, 2013.09

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Research Areas 【 Display / hide 】

  • Natural Science / Basic mathematics (Applied Mathematics)

  • Natural Science / Applied mathematics and statistics (Applied Mathematics)

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Research Keywords 【 Display / hide 】

  • Symmetries and conservation laws

  • Geometric mechanics

  • Geometric integrator

  • Information geometry

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Books 【 Display / hide 】

  • Paving the Way for 5G Through the Convergence of Wireless Systems

    X. Zhang, Y. Cao, L. Peng, J. Li, IGI Global Publisher, 2019

    Scope: Enhancing Mobile Data Offloading With In-Network Caching,  Contact page： 250-270

  • An Elementary Introduction to Information Geometry

    H. Sun, Z. Zhang, L. Peng, X. Duan, Science Press, Beijing, 2016.03

  • Object Recognition

    F. Li, L. Peng, H. Sun, IntechOpen, 2011.04,  Page： 350

    Scope: Fibre Bundle Models and 3D Object Recognition,  Contact page： 317-332

  • Fibre Bundle Models and 3D Object Recognition

    2011

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Papers 【 Display / hide 】

  • Some novel physical structures of a (2+1)-dimensional variable-coefficient Korteweg–de Vries system

    Yaqing Liu, Linyu Peng

    Chaos, Solitons and Fractals （Chaos, Solitons and Fractals)  171 2023.06

    Corresponding author, Accepted,  ISSN  09600779

    　View Summary

    In this paper, we study the novel nonlinear wave structures of a (2+1)-dimensional variable-coefficient Korteweg–de Vries (KdV) system by its analytic solutions. Its N-soliton solutions are obtained via Hirota's bilinear method, and in particular, the hybrid solutions of lump, breather and line solitons are derived by the long wave limit method. In addition to soliton solutions, similarity reduction, including similarity solutions (also known as group-invariant solutions) and novel non-autonomous rational third-order Painlevé equations, is achieved through symmetry analysis. The analytic results, together with illustrative wave interactions, show interesting physical features, that may shed some light on the study of other variable-coefficient nonlinear systems.

  • LDA-MIG Detectors for Maritime Targets in Nonhomogeneous Sea Clutter

    X Hua, L Peng, W Liu, Y Cheng, H Wang, H Sun, Z Wang

    IEEE Transactions on Geoscience and Remote Sensing （IEEE Transactions on Geoscience and Remote Sensing)  61 2023

    Accepted,  ISSN  01962892

    　View Summary

    This article deals with the problem of detecting maritime targets embedded in nonhomogeneous sea clutter, where the limited number of secondary data is available due to the heterogeneity of sea clutter. A class of linear discriminant analysis (LDA)-based matrix information geometry (MIG) detectors is proposed in the supervised scenario. As customary, Hermitian positive-definite (HPD) matrices are used to model the observational sample data, and the clutter covariance matrix of the received dataset is estimated as the geometric mean of the secondary HPD matrices. Given a set of training HPD matrices with class labels, which are elements of a higher dimensional HPD matrix manifold, the LDA manifold projection learns a mapping from the higher dimensional HPD matrix manifold to a lower dimensional one subject to maximum discrimination. In this study, the LDA manifold projection, with the cost function maximizing between-class distance while minimizing within-class distance, is formulated as an optimization problem in the Stiefel manifold. Four robust LDA-MIG detectors corresponding to different geometric measures are proposed. Numerical results based on both simulated radar clutter with interferences and real IPIX radar data show the advantage of the proposed LDA-MIG detectors against their counterparts without using LDA and the state-of-the-art maritime target detection methods in nonhomogeneous sea clutter.

  • 自己共分散行列空間における信号検出手法とそのロバスト性解析

    小野悠介， 彭林玉

    研究報告音声言語情報処理 (SLP) 2023 (14), 1-6  2023

  • The target detection method through autocovariance matrices and its robust analysis

    Y Ono, L Peng

    IEICE Technical Report; IEICE Tech. Rep. 122 (388), 55-60  2023

  • A stochastic Hamiltonian formulation applied to dissipative particle dynamics

    L Peng, N Arai, K Yasuoka

    arXiv preprint arXiv:2203.12183 （Elsevier {BV})  426   127126 - 127126 2022

    ISSN  00963003

    　View Summary

    In this paper, a stochastic Hamiltonian formulation (SHF) is proposed and applied to dissipative particle dynamics (DPD) simulations. As an extension of Hamiltonian dynamics to stochastic dissipative systems, the SHF provides necessary foundations and great convenience for constructing efficient numerical integrators. As a first attempt, we develop the Störmer–Verlet type of schemes based on the SHF, which are structure-preserving for deterministic Hamiltonian systems without external forces, the dissipative forces in DPD. Long-time behaviour of the schemes is shown numerically by studying the damped Kubo oscillator. In particular, the proposed schemes include the conventional Groot–Warren's modified velocity-Verlet method and a modified version of Gibson–Chen–Chynoweth as special cases. The schemes are applied to DPD simulations and analysed numerically.

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Reviews, Commentaries, etc. 【 Display / hide 】

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Presentations 【 Display / hide 】

  • Variational systems on the variational bicomplex

    PENG Linyu

    Seminar at INI, Cambridge University, 

    2019.09
    , 

    Oral presentation (general)

  • A general prolongation formulation for symmetries of differential-difference equations

    PENG Linyu

    China-Japan Joint Workshop on Integrable Systems 2019, 

    2019.08
    , 

    Oral presentation (general)

  • Symmetries of semi-discrete variational problems and Noether's theorems

    PENG Linyu

    Symmetry and Singularity of Geometric Structures and Differential Equations, 

    2018.12
    , 

    Oral presentation (general)

  • The discrete Lagrange-d’Alembert principle for physical systems with constraints

    PENG Linyu, YOSHIMURA Hiroaki

    The 5th International Conference on Dynamics, Vibration and Control, 

    2018.07
    , 

    Oral presentation (general)

  • Symmetries and Conservation Laws of Semi-Discrete Equations

    PENG Linyu

    The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 

    2018.07
    , 

    Oral presentation (general)

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Research Projects of Competitive Funds, etc. 【 Display / hide 】

  • Multisymplectic Geometry and Geometric Numerical Integrator for Variational Problems

    2020.04
    -
    Present

    Keio University, Grants-in-Aid for Scientific Research, Linyu Peng, Grant-in-Aid for Early-Career Scientists, Research grant, Principal investigator

    　View Summary

    Geometric integrator is among one of the most efficient numerical methods for differential equations. In this project, we establish a unified and systematical analogue for understanding both continuous and discrete multisymplectic structures of arbitrary order variational differential equations.

  • 複雑な流体現象のモデリング，マルチスケール構造の解明と数理解析

    2016.04
    -
    2019.03

    Waseda University, Grants-in-Aid for Scientific Research, Hiroaki Yoshimura, Grant-in-Aid for Scientific Research (B), Research grant, Coinvestigator(s)

    　View Summary

    We have explored mathematical modeling of complex fluid phenomena, mathematical analysis of partial differential equations and stochastic differential equations associated to multi-scale phenomena as well as applications of nonlinear mechanics. For the mathematical modeling, we have studied a Lagrangian variational formulation of nonequilibrium thermodynamics, modeling of cloud cavitation and with experiments, elucidation of LCS (Lagrangian coherent structures) for Rayleigh-Benard convection as well as a stochastic variational formulation of single bubble dynamics. For the mathematical analysis, we have researched on the existence and uniqueness of Navier-Stokes equations for two-phase flows, stochastic KPZ equations and modified KdV equations. Further we have shown some applications of LCS analysis to space mission design.

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Courses Taught 【 Display / hide 】

  • SPECIAL LECTURE IN MECHANICAL ENGINEERING

    2023

  • SPECIAL LECTURE IN MATHEMATICAL SCIENCE 1

    2023

  • PROJECT LABORATORY IN MECHANICAL ENGINEERING

    2023

  • NONLINEAR DYNAMICS

    2023

  • INDEPENDENT STUDY ON SCIENCE FOR OPEN AND ENVIRONMENTAL SYSTEMS

    2023

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Memberships in Academic Societies 【 Display / hide 】

  • Institute of Electrical and Electronics Engineers, 

    2021.07
    -
    Present

  • The Japan Society of Mechanical Engineers, 

    2021.01
    -
    Present

  • The Mathematical Society of Japan, 

    2018.10
    -
    Present

  • The Japan Society for Industrial and Applied Mathematics, 

    2018.06
    -
    Present
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