University of Calgary
Wenyuan Liao
- Professor
- Applied Mathematics
- Mathematics
- +1 (403) 220-3946
Website:
Office Hours
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
|---|---|---|---|---|---|---|
| 2:30p‑3:30p | - | 2:30p‑3:30p | - | - | - | - |
Research Interests
General:
Industrial Mathematics:
Applications:
Currently Teaching
| W2024 - MATH 277 - Multivariable Calculus for Engineers and Scientists | |||||||||||||||||||||||||||||||
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| F2024 - MATH 661.03 - Scientific Computation | |||||||||||||||||||||||||||||||
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Current research & Graduate Student Recruitment
My research work is supported by NSERC, MITACS and PIMS through various grants, such as NSERC individual discovery grant, NSERC Engage grant, Engage Plus grant, NSERC Collaborative Research and Development (CRD) grant, Mitacs Globalink, Mitacs Accelerate, Mitacs Elevate etc. I also received generous support from my researech partners, mainly companies in the energy sector. I am currently recruiting graduate students in both master and Ph.D levels. Prospective students should have a strong background in applied and computational mathematics and high-level computing skills. Possible research projects/topics include the numerical solution to time-dependent PDEs, computational methods for seismic inversion problems, efficient and accurate numerical methods for seismic imaging problems and applications in the energy industry, inverse modelling and adjoint analysis. Interested applicants are encouraged to contact me prior to submit your application.
Statement of Graduate Supervision
I am currently recruiting graduate students in both MSc an PhD levels. Successful student should be self-motivated, with strong backgroud in Applied and Computational Mathematics and programming skills in Matlab, Fortran or Python.
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.
Degrees
- PhD - Applied/Computational Mathematics
Mississippi State University, 2003
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