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Mathematics

D-Index
33
Citations
4137
World Ranking
3058
National Ranking
1228

Overview

Jianliang Qian is affiliated with Michigan State University in the United States. Their research spans primarily the fields of Mathematics and Engineering, with a focus on several specialized subfields including Applied Mathematics, Geophysics, Mechanics of Materials, Mathematical Physics, and Computational Mechanics.

The scientist's work involves investigation into topics such as Numerical Methods in Inverse Problems, Geometric Analysis and Curvature Flows, Electromagnetic Simulation and Numerical Methods, Seismic Imaging and Inversion Techniques, Nonlinear Partial Differential Equations, Ultrasonics and Acoustic Wave Propagation, and Seismic Waves and Analysis.

Jianliang Qian has contributed to multiple publications, frequently collaborating with researchers such as Shingyu Leung, Robert Burridge, Hao Liu, Yuxiao Wei, and Jiangtao Hu.

Recent publications include:

  • Finite-Element Study of Motion-Induced Eddy Current Array Method for High-Speed Rail Defects Detection, 2021, IEEE Transactions on Magnetics
  • Reconstruct High-Resolution 3D Genome Structures for Diverse Cell-Types Using FLAMINGO, 2022, Nature Communications
  • Ray-Illumination Compensation for Adjoint-State First-Arrival Traveltime Tomography, 2021, Geophysics
  • Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means, 2020, SIAM Journal on Scientific Computing
  • Simultaneously Recovering Both Domain and Varying Density in Inverse Gravimetry by Efficient Level-Set Methods, 2020, Inverse Problems and Imaging

Jianliang Qian frequently publishes in venues such as arXiv (Cornell University), SIAM Journal on Scientific Computing, Multiscale Modeling and Simulation, Geophysics, and Journal of Computational Physics.

Best Publications

  • Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations

    Chiu Yen Kao;Stanley Osher;Jianliang Qian

  • High Order Fast Sweeping Methods for Static Hamilton---Jacobi Equations

    Yong-Tao Zhang;Hong-Kai Zhao;Jianliang Qian

  • Fast Sweeping Methods for Eikonal Equations on Triangular Meshes

    Jianliang Qian;Yong-Tao Zhang;Hong-Kai Zhao

  • A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations

    Jianliang Qian;Yong-Tao Zhang;Hong-Kai Zhao

  • An adjoint state method for three-dimensional transmission traveltime tomography using first-arrivals

    Shingyu Leung;Jianliang Qian

  • Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions

    Tom Cecil;Jianliang Qian;Stanley Osher

  • An adaptive finite-difference method for traveltimes and amplitudes

    Jianliang Qian;William W. Symes

  • An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed

    Jianliang Qian;Plamen Stefanov;Gunther Uhlmann;Hongkai Zhao

  • Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors

    Songting Luo;Jianliang Qian

  • Eulerian Gaussian Beams for High Frequency Wave Propagation

    Shingyu Leung;Jianliang Qian;Robert Burridge

  • Finite‐difference quasi‐P traveltimes for anisotropic media

    Jianliang Qian;William W. Symes

  • Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation

    Jianliang Qian;Lexing Ying

  • Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes

    Songting Luo;Jianliang Qian

  • Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime

    Shingyu Leung;Jianliang Qian

  • Mountain Waves and Gaussian Beams

    Nicolay M. Tanushev;Jianliang Qian;James V. Ralston

  • A Slowness Matching Eulerian Method for Multivalued Solutions of Eikonal Equations

    William W. Symes;Jianliang Qian

  • A level set-based Eulerian approach for anisotropic wave propagation

    Jianliang Qian;Li-Tien Cheng;Stanley Osher

  • Paraxial eikonal solvers for anisotropic quasi-P travel times

    Jianliang Qian;William W. Symes

  • FAST MULTISCALE GAUSSIAN WAVEPACKET TRANSFORMS AND MULTISCALE GAUSSIAN BEAMS FOR THE WAVE EQUATION

    Jianliang Qian;Lexing Ying

  • A level set based Eulerian method for paraxial multivalued traveltimes

    Jianliang Qian;Shingyu Leung

Frequent Co-Authors

Hongkai Zhao
Hongkai Zhao Duke University
Roland Glowinski
Roland Glowinski University of Houston
William W. Symes
William W. Symes Rice University
Stanley Osher
Stanley Osher University of California, Los Angeles
Eric T. Chung
Eric T. Chung Chinese University of Hong Kong
Yaoguo Li
Yaoguo Li Colorado School of Mines
Gunther Uhlmann
Gunther Uhlmann University of Washington
Lexing Ying
Lexing Ying Stanford University
Bernardo Cockburn
Bernardo Cockburn University of Minnesota
Victor Isakov
Victor Isakov Wichita State University

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