KEIO RESEARCHERS INFORMATION SYSTEM

Career 【 Display / hide 】

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

• 2020.04

  -

  2023.03

  Keio University, Assistant Professor

• 2023.04

  -

  Present

  Keio University , Associate Professor

Academic Background 【 Display / hide 】

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

Academic Degrees 【 Display / hide 】

Academic Degrees 【 Display / hide 】

• PhD, University of Surrey, Coursework, 2013.09

Research Areas 【 Display / hide 】

Research Areas 【 Display / hide 】

• Natural Science / Basic mathematics (Applied Mathematics)

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

Research Keywords 【 Display / hide 】

Research Keywords 【 Display / hide 】

• Symmetries and conservation laws

• Geometric mechanics

• Geometric integrator

• Information geometry

Books 【 Display / hide 】

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

Papers 【 Display / hide 】

Papers 【 Display / hide 】

• Developing a cloud evidence method for dynamic early warning of tunnel construction safety risk in undersea environment

  H Zhou, B Gao, X Zhao, L Peng, S Bai

  Developments in the Built Environment 16, 100225 （Developments in the Built Environment)  16 2023.12

  　View Summary

  Traditional methods have limitations in achieving precise predictions of risk occurrence at an exact future time and have difficulties transforming between qualitative and quantitative indicators and handling multi-source heterogeneous risk data. This study quantifies and analyzes the multi-source construction safety risks classified into the categories of man, machine, material, method and environment (4M1E), and presents a cloud evidence method that integrates wavelet de-noising algorithm, cloud model, and Dempster-Shafer (D-S) evidence theory. A real-time risk prediction and warning is provided using this method after the fusion of multi-source uncertain information and the transformation between qualitative and quantitative indicators, enabling the timely detection of potential risks for project managers. This method analyzing “uncertainty” with “certainty” is verified by an undersea tunnel construction project. The result shows that this method is effective in early warning risks two days before their actual occurrence, providing reference significance for risk early warning of the tunnel construction project.

  • Access to Document (DOI)

• The difference variational bicomplex and multisymplectic systems

  Linyu Peng, Peter E. Hydon

  arXiv preprint arXiv:2307.13935  2023.07

  　View Summary

  The difference variational bicomplex, which is the natural setting for
  systems of difference equations, is constructed and used to examine the
  geometric and algebraic properties of various systems. Exactness of the
  bicomplex gives a coordinate-free setting for finite difference variational
  problems, Euler--Lagrange equations and Noether's theorem. We also examine the
  connection between the condition for existence of a Hamiltonian and the
  multisymplecticity of systems of partial difference equations. Furthermore, we
  define difference multimomentum maps of multisymplectic systems, which yield
  their conservation laws. To conclude, we demonstrate how multisymplectic
  integrators can be comprehended even on non-uniform meshes through a
  generalized difference variational bicomplex.

• 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.

  • Access to Document (DOI)

• Lagrangian Multiform Theory and Pluri-Lagrangian Systems (23w5043)

  F Nijhoff, L Peng, Y Shi, D Zhang

   2023

• 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.

  • Access to Document (DOI)

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Papers, etc., Registered in KOARA 【 Display / hide 】

Papers, etc., Registered in KOARA 【 Display / hide 】

• Multisymplectic numerical integrator for partial differential equations

  Peng, Linyu

  学事振興資金研究成果実績報告書 （慶應義塾大学)  2020

Presentations 【 Display / hide 】

Presentations 【 Display / hide 】

• Discrete Lagrangian multiforms on the difference variational bicomplex

  Linyu Peng

  BIRS Workshop Lagrangian Multiform Theory and Pluri-Lagrangian Systems, 

  2023.10

• The modified formal variational formulation for general differential equations and applications

  Linyu Peng

  持続的環境エネルギー社会共創研究機構　研究所間交流会, 

  2023.09

• Applications of Bures-Wasserstein geometry of HPD matrices to signal detection

  Y. Ono, L. Peng

  10th International Congress on Industrial and Applied Mathematics (ICIAM2023), 

  2023.08

• A discretization of Dirac structures and Lagrange-Dirac dynamical systems

  H. Yoshimura, L. Peng

  10th International Congress on Industrial and Applied Mathematics (ICIAM2023), 

  2023.08

• The influence of accuracy of initial values on the discrete energy in variational integrator

  M. Gunji, Y. Ono, L. Peng

  IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems across Different Length/Time Scales (IUTAM2023), 

  2023.07

  -

  2023.08

  , 

  Poster presentation

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

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.

Courses Taught 【 Display / hide 】

Courses Taught 【 Display / hide 】

• STABILITY THEORY IN DYNAMICS SYSTEMS

  2024

• SPECIAL LECTURE IN MECHANICAL ENGINEERING

  2024

• SPECIAL LECTURE IN MATHEMATICAL SCIENCE 1

  2024

• PROJECT LABORATORY IN MECHANICAL ENGINEERING

  2024

• NONLINEAR DYNAMICS

  2024

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Memberships in Academic Societies 【 Display / hide 】

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