An implicit fourth-order compact finite difference scheme for one-dimensional Burgers’ equation W Liao Applied Mathematics and Computation 206 (2), 755-764, 2008 | 168 | 2008 |
An efficient high‐order algorithm for solving systems of reaction‐diffusion equations W Liao, J Zhu, AQM Khaliq Numerical Methods for Partial Differential Equations 18 (3), 340-354, 2002 | 90 | 2002 |
Accelerating Hessian-free Gauss-Newton full-waveform inversion via -BFGS preconditioned conjugate-gradient algorithm W Pan, KA Innanen, W Liao Geophysics 82 (2), R49-R64, 2017 | 70 | 2017 |
A fourth‐order finite‐difference method for solving the system of two‐dimensional Burgers' equations W Liao International journal for numerical methods in fluids 64 (5), 565-590, 2010 | 65 | 2010 |
Direct numerical method for an inverse problem of a parabolic partial differential equation W Liao, M Dehghan, A Mohebbi Journal of Computational and Applied Mathematics 232 (2), 351-360, 2009 | 56 | 2009 |
A compact high-order finite difference method for unsteady convection-diffusion equation W Liao International Journal for Computational Methods in Engineering Science and …, 2012 | 50 | 2012 |
Antileakage least-squares spectral analysis for seismic data regularization and random noise attenuation E Ghaderpour, W Liao, MP Lamoureux Geophysics 83 (3), V157-V170, 2018 | 48 | 2018 |
High-order compact scheme for solving nonlinear Black–Scholes equation with transaction cost W Liao, AQM Khaliq International Journal of Computer Mathematics 86 (6), 1009-1023, 2009 | 46 | 2009 |
Inverse modeling of aerosol dynamics using adjoints: Theoretical and numerical considerations A Sandu, W Liao, GR Carmichael, DK Henze, JH Seinfeld Aerosol science and technology 39 (8), 677-694, 2005 | 44 | 2005 |
Total variation regularization for seismic waveform inversion using an adaptive primal dual hybrid gradient method P Yong, W Liao, J Huang Inverse Problems 34 (4), 045006, 2018 | 43 | 2018 |
A fourth‐order compact algorithm for nonlinear reaction‐diffusion equations with Neumann boundary conditions W Liao, J Zhu, AQM Khaliq Numerical Methods for Partial Differential Equations: An International …, 2006 | 42 | 2006 |
On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation W Liao Journal of Computational and Applied Mathematics 270, 571-583, 2014 | 41 | 2014 |
An efficient high-order algorithm for solving systems of 3-D reaction–diffusion equations Y Gu, W Liao, J Zhu Journal of computational and applied mathematics 155 (1), 1-17, 2003 | 38 | 2003 |
Adjoint-based optimization of thermo-fluid phenomena in welding processes O Volkov, B Protas, W Liao, DW Glander Journal of Engineering Mathematics 65, 201-220, 2009 | 32 | 2009 |
Misfit function for full waveform inversion based on the Wasserstein metric with dynamic formulation P Yong, W Liao, J Huang, Z Li, Y Lin Journal of Computational Physics 399, 108911, 2019 | 31 | 2019 |
Inverse modeling of aerosol dynamics: Condensational growth DK Henze, JH Seinfeld, W Liao, A Sandu, GR Carmichael Journal of Geophysical Research: Atmospheres 109 (D14), 2004 | 31 | 2004 |
Singular vector analysis for atmospheric chemical transport models W Liao, A Sandu, GR Carmichael, T Chai Monthly Weather Review 134 (9), 2443-2465, 2006 | 30 | 2006 |
Common‐shot Fresnel beam migration based on wave‐field approximation in effective vicinity under complex topographic conditions J Huang, J Yang, W Liao, X Wang, Z Li Geophysical Prospecting 64 (3), 554-570, 2016 | 29 | 2016 |
Optimized equivalent staggered-grid FD method for elastic wave modelling based on plane wave solutions P Yong, J Huang, Z Li, W Liao, L Qu, Q Li, P Liu Geophysical Supplements to the Monthly Notices of the Royal Astronomical …, 2016 | 28 | 2016 |
An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation S Das, W Liao, A Gupta Journal of computational and Applied Mathematics 258, 151-167, 2014 | 27 | 2014 |