Wenyuan Liao

Professor

Department of Mathematics and Statistics

PhD - Applied/Computational Mathematics

Mississippi State University, 2003

MS Software Engineering - Computer Science

Mississippi State University, 2003

MSc - Computational Mathematics

Tshinghua University, 1998

Contact information

Phone

Office: 403.220.3946

Web presence

Website

Location

Office : MS530

Courses

  • MATH 376 - Differential Equations I
  • MATH 415 - Mathematical Methods
  • MATH 661.05 - Numerical Differential Equations

Research and teaching

Research areas

  • Inverse modeling and indudstrial applications (particularly, oil reservoir simulation)
  • Seismic inversion and applications
  • High performance computing and scientific computation
  • Numerical methods for PDE
  • Computational methods for inverse problem
  • Mathematical modelling and the application of mathematics to industrial problems
  • Numerical methods and applications to geophysics

Publications

Book chapters/contributions - peer reviewed

  • Liao, Wenyuan and Zhu, Jianping. A Fourth-Order Compact Finite Difference Scheme for Solving Unsteady Convection-Diffusion Equations Computational simulations and Applications Ed. Zhu, Jianping Intech, 2011. 81-96. Print.

Conference

  • Ghaderpour, Ebrahim, Liao, Wenyuan, Lamoureux, Michael, Li, Da and Pagiatakis, Spiros D. Anti-leakage least-squares spectral analysis for data regularization 2017.

Conference proceedings

  • Ye Zheng, Laurie Ross, John Guo, Liao, Wenyuan, Balazs Nemeth and Christian Escalante. Choice of algorithm and data domain for 5D trace interpolation 2015.
  • John Guo, Ye Zheng and Liao, Wenyuan. Arbitrarily Sampled Fourier Transform for 5D Interpolation 2015.
  • John Guo, Ye Zheng and Liao, Wenyuan. High Fidelity Seismic Trace Interpolation 2015.
  • Cao, Danping and Liao, Wenyuan. A hybrid tomography method for crosswell seismic inversion 2014.
  • Liao, Wenyuan and Cao, Danping. Compact fourth-order finite-difference modeling for 3D acoustic wave equation 2013.
  • Cao, Danping and Liao, Wenyuan. Full waveform inversion of crosswell seismic data using automatic differentiation 2013.
  • A. Sandu, GR Charmichael, T. Chai, E. Constantinescu and Liao, Wenyuan. New Developments in Chemical Data Assimilation: Computational Tools 2005.
  • Liao, Wenyuan and Adrian Sandu. Total Energy Singular Vectors for Atmospheric Chemical Transport Models 2005.

Journal articles - peer reviewed

  • Dastour, Hatef and Liao, Wenyuan. "A fourth-order optimal finite difference scheme for the Helmholtz equation with PML". Computers & Mathematics with Applications 78.6 (2019): 2147-2165. Print.
  • Ghaderpour, Ebrahim, Liao, Wenyuan and Lamoureux, Michael. "Antileakage least-squares spectral analysis for seismic data regularization and random noise attenuation". Geophysics 83.3 (2018): V157-V170. Print.
  • Huang, Jianping, Yang, Jidong, Liao, Wenyuan, Wang, Xin and Li, Zhenchun. "Common‐shot Fresnel beam migration based on wave‐field approximation in effective vicinity under complex topographic conditions". Geophysical Prospecting 64.3 (2016): 554-570. Print.
  • Liao, Wenyuan. "A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation". Abstract and Applied Analysis 2015. (2015). Print.
  • Liao, Wenyuan. "An adjoint-based Jacobi-type iterative method for elastic full waveform inversion problem". Applied Mathematics and Computation 267. (2015): 56-70. Print.
  • Cao, Danping and Liao, Wenyuan. "A computational method for full waveform inversion of crosswell seismic data using automatic differentiation". Computer Physics Communications 188. (2015): 47-58. Print.
  • Huang, Jianping, Yuan, Maolin, Liao, Wenyuan, Li, Zhenchun and Yue, Yubo. "Accurate acoustic and elastic beam migration without slant stack for complex topography". Journal of Geophysics and Engineering 12.3 (2015): 515-526. Print.
  • Liao, Wenyuan. "On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation". Journal of Computational and Applied Mathematics 270. (2014): 571-583. Print.
  • Das, Sambit, Liao, Wenyuan and Gupta, Anirudh. "An efficient fourth-order low dispersive finite difference scheme for 2-D acoustic wave equation". Journal of Computational and Applied Mathematics 258. (2014): 151-167. Print.
  • Cao, Danping and Liao, Wenyuan. "An adjoint-based hybrid computational method for crosswell seismic inversion". Computing in Science & Engineering 16.6 (2014): 60-67. Print.
  • Liao, Wenyuan. "High-order ADI finite difference scheme for 3D reaction-diffusion equation with Neumann boundary condition". Numerical Methods for Partial Differential Equations 29.3 (2013): 778-798. Print.
  • Cao, Danping and Liao, Wenyuan. "An adjoint-based hybrid computational method for crosswell seismic inversion". Computing in Science and Engineering, (2013). Print.
  • Liao, Wenyuan. "A compact higher-order finite difference method for solving the unsteady convection-diffusion equation". International Journal for Computational Methods in Engineering Science & Mechanics 13.3 (2012): 135-145. Print.
  • Liao, Wenyuan. "A computational method to estimate the unknown coefficient in a wave equation using boundary measurements". Inverse Problems in Science & Engineering 19.6 (2011): 855-877. Print.
  • Liao, Wenyuan and Yan, Yulian. "Singly Diagonally Implicit Runge-Kutta Method for Time-Dependent Reaction-Diffusion Equation". Numerical Methods for Partial Differential Equations 27.6 (2011): 1423-1441. Print.
  • Liao, Wenyuan and Zhu, Jianping. "Efficient and accurate finite difference schemes for solving one-dimensional Burgers' equation". International Journal of Computer Mathematics 88.12 (2011): 2575-2590. Print.
  • Liao, Wenyuan. "An accurate and efficient algorithm for parameter estimation of 2D acoustic wave equation". International Journal of Applied Physics and Mathematics 1.2 (2011): 96-100. Print.
  • Liao, Wenyuan. "A fourth-order finite difference method for solving the system of two-dimensional Burgers' equations". International Journal for Numerical Methods in Fluids 64.5 (2010): 565-590. Print.
  • Volkov, Oleg, Protas, Bartosz, Liao, Wenyuan and Glander, Don. "Adjoint-based optimization of thermo-fluid phenomena in welding processes". Journal of Engineering Mathematics 65.3 (2009): 201-220. Print.
  • Liao, Wenyuan, Dehghan, Mehdi and Mohebbi, A.. "Direct numerical method for an inverse problem of a parabolic partial differential equation". Journal of Computational and Applied Mathematics 232.2 (2009): 351-360. Print.
  • Liao, Wenyuan and Khaliq, Abdul Q. M.. "High-order compact scheme for solving nonlinear Black-Scholes equations with transaction cost". International Journal of Computer Mathematics 86.6 (2009): 1009-1023. Print.
  • Liao, Wenyuan and Zhu, Jianping. "An accurate and efficient numerical method for solving Black-Scholes equation in option pricing". International Journal of Mathematics in operational Research 1.1 (2009): 191-210. Print.
  • Liao, Wenyuan. "An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation". Applied Mathematics and Computation 206.2 (2008): 755-764. Print.
  • Protas, Bartosz and Liao, Wenyuan. "Adjoint-based optimization of PDEs in moving domains". Journal of Computational Physics, (2008). Print.
  • Liao, Wenyuan, Sandu, Adrian, Carmichael G.R. and Chai, Tianfeng. "Total Energy Singular Vector Analysis for Atmospheric Chemical Transport Models". Monthly Weather Review 134.9 (2006): 2443-2465. Print.
  • Liao, Wenyuan, Zhu, Jianping and Khaliq, A.Q.M.. "A fourth-order compact algorithm for nonlinear reaction-diffusion equations with Neumann boundary conditions". Numerical Methods for Partial Differential Equations 22.3 (2006): 600-616. Print.
  • Sandu, Adrian, Liao, Wenyuan, Carmichael, G.R., Henze, D.K. and Seinfeld, J.H.. "Inverse Modeling of Aerosol Dynamics using Adjoints - Theoretical and Numerical Considerations". Aerosol Science and Technology 39.8 (2005): 677-694. Print.
  • Henze, D. K., Seinfeld, J.H., Liao, Wenyuan, Sandu, Adrian and Carmichael, G.R.. "Inverse Modeling of Aerosol Dynamics: Condensational Growth". Journal of Geophysical Research 109.D14201 (2004). Print.
  • Gu, Yuanxian, Liao, Wenyuan and Zhu, Jianping. "An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations". Journal of Computational and Applied Mathematics 155.1 (2003): 1-17. Print.
  • Liao, Wenyuan, Zhu, Jianping and Khaliq, A.Q.. "An efficient high-order algorithm for solving systems of reaction-diffusion equations". Numerical Methods for Partial Differential Equations 18.3 (2002): 340-354. Print.
  • Liao, Wenyuan and Li, Qingyang. "A class of semi-implicit multistep Runge-Kutta methods for stiff ODEs". Journal of Tsinghua University 39.6 (1999): 1-6. Print.
  • Liao, Wenyuan and Li, Qingyang. "A class of multistep interpolation methods for solving stiff ordinary differential equations and parallel implementation". Journal on Numerical Methods and Computer Applications 20.2 (1999): 98-106. Print.
  • Liao, Wenyuan and Li, Qingyang. "Implementation of parallel diagonal implicit Runge-Kutta algorithms of multistep Runge-Kutta methods". Journal on Numerical Methods and Computer Applications 20.1 (1999): 70-80. Print.
  • Liao, Wenyuan and Li, Qingyang. "A class of mixed type methods for solving stiff ODEs and the parallel implementation". Tsinghua Science and Technology 3.4 (1998): 1221-1226. Print.