An implicit fourth-order compact finite difference scheme for one-dimensional Burgers’ equation. Zbl 1157.65438
Liao, Wenyuan |
|
2008
|
An efficient high-order algorithm for solving systems of reaction-diffusion equations. Zbl 0997.65105
Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M. |
|
2002
|
A compact high-order finite difference method for unsteady convection-diffusion equation. Zbl 07871315
Liao, Wenyuan |
|
2012
|
A fourth-order finite-difference method for solving the system of two-dimensional Burgers’ equations. Zbl 1377.65108
Liao, Wenyuan |
|
2010
|
High-order compact scheme for solving nonlinear Black-Scholes equation with transaction cost. Zbl 1163.91411
Liao, Wenyuan; Khaliq, Abdul Q. M. |
|
2009
|
A fourth-order compact algorithm for nonlinear reaction-diffusion equations with Neumann boundary conditions. Zbl 1092.65073
Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M. |
|
2006
|
An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations. Zbl 1019.65065
Gu, Yuanxian; Liao, Wenyuan; Zhu, Jianping |
|
2003
|
Direct numerical method for an inverse problem of a parabolic partial differential equation. Zbl 1173.65059
Liao, Wenyuan; Dehghan, Mehdi; Mohebbi, Akbar |
|
2009
|
On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation. Zbl 1321.65134
Liao, Wenyuan |
|
2014
|
Adjoint-based optimization of thermo-fluid phenomena in welding processes. Zbl 1180.76050
Volkov, Oleg; Protas, Bartosz; Liao, Wenyuan; Glander, Donn W. |
|
2009
|
An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation. Zbl 1294.65087
Das, Sambit; Liao, Wenyuan; Gupta, Anirudh |
|
2014
|
Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media. Zbl 1426.76475
Liao, Wenyuan; Yong, Peng; Dastour, Hatef; Huang, Jianping |
|
2018
|
A compact high order alternating direction implicit method for three-dimensional acoustic wave equation with variable coefficient. Zbl 1422.65161
Li, Keran; Liao, Wenyuan; Lin, Yaoting |
|
2019
|
A fourth-order optimal finite difference scheme for the Helmholtz equation with PML. Zbl 1442.65323
Dastour, Hatef; Liao, Wenyuan |
|
2019
|
Efficient and accurate finite difference schemes for solving one-dimensional Burgers equation. Zbl 1252.65141
Liao, Wenyuan; Zhu, Jianping |
|
2011
|
Adjoint-based optimization of PDEs in moving domains. Zbl 1135.65338
Protas, Bartosz; Liao, Wenyuan |
|
2008
|
Singly diagonally implicit Runge-Kutta method for time-dependent reaction-diffusion equation. Zbl 1243.65112
Liao, Wenyuan; Yan, Yulian |
|
2011
|
A computational method to estimate the unknown coefficient in a wave equation using boundary measurements. Zbl 1252.65160
Liao, Wenyuan |
|
2011
|
A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with Neumann boundary condition. Zbl 1268.65115
Liao, Wenyuan |
|
2013
|
Total variation regularization for seismic waveform inversion using an adaptive primal dual hybrid gradient method. Zbl 1459.74099
Yong, Peng; Liao, Wenyuan; Huang, Jianping; Li, Zhenchuan |
|
2018
|
An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition. Zbl 1458.65133
Dastour, Hatef; Liao, Wenyuan |
|
2021
|
A computational method for full waveform inversion of crosswell seismic data using automatic differentiation. Zbl 1344.86002
Cao, Danping; Liao, Wenyuan |
|
2015
|
A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition. Zbl 1475.65166
Dastour, Hatef; Liao, Wenyuan |
|
2021
|
Grouping time series by pairwise measures of redundancy. Zbl 1238.92028
Marinazzo, D.; Liao, W.; Pellicoro, M.; Stramaglia, S. |
|
2010
|
A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation. Zbl 1352.65204
Liao, Wenyuan |
|
2015
|
Misfit function for full waveform inversion based on the Wasserstein metric with dynamic formulation. Zbl 1453.86031
Yong, Peng; Liao, Wenyuan; Huang, Jianping; Li, Zhenchun; Lin, Yaoting |
|
2019
|
A compact ADI finite difference method for 2D reaction-diffusion equations with variable diffusion coefficients. Zbl 07738650
He, Mingyu; Liao, Wenyuan |
|
2024
|
A compact ADI finite difference method for 2D reaction-diffusion equations with variable diffusion coefficients. Zbl 07738650
He, Mingyu; Liao, Wenyuan |
|
2024
|
An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition. Zbl 1458.65133
Dastour, Hatef; Liao, Wenyuan |
|
2021
|
A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition. Zbl 1475.65166
Dastour, Hatef; Liao, Wenyuan |
|
2021
|
A compact high order alternating direction implicit method for three-dimensional acoustic wave equation with variable coefficient. Zbl 1422.65161
Li, Keran; Liao, Wenyuan; Lin, Yaoting |
|
2019
|
A fourth-order optimal finite difference scheme for the Helmholtz equation with PML. Zbl 1442.65323
Dastour, Hatef; Liao, Wenyuan |
|
2019
|
Misfit function for full waveform inversion based on the Wasserstein metric with dynamic formulation. Zbl 1453.86031
Yong, Peng; Liao, Wenyuan; Huang, Jianping; Li, Zhenchun; Lin, Yaoting |
|
2019
|
Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media. Zbl 1426.76475
Liao, Wenyuan; Yong, Peng; Dastour, Hatef; Huang, Jianping |
|
2018
|
Total variation regularization for seismic waveform inversion using an adaptive primal dual hybrid gradient method. Zbl 1459.74099
Yong, Peng; Liao, Wenyuan; Huang, Jianping; Li, Zhenchuan |
|
2018
|
A computational method for full waveform inversion of crosswell seismic data using automatic differentiation. Zbl 1344.86002
Cao, Danping; Liao, Wenyuan |
|
2015
|
A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation. Zbl 1352.65204
Liao, Wenyuan |
|
2015
|
On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation. Zbl 1321.65134
Liao, Wenyuan |
|
2014
|
An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation. Zbl 1294.65087
Das, Sambit; Liao, Wenyuan; Gupta, Anirudh |
|
2014
|
A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with Neumann boundary condition. Zbl 1268.65115
Liao, Wenyuan |
|
2013
|
A compact high-order finite difference method for unsteady convection-diffusion equation. Zbl 07871315
Liao, Wenyuan |
|
2012
|
Efficient and accurate finite difference schemes for solving one-dimensional Burgers equation. Zbl 1252.65141
Liao, Wenyuan; Zhu, Jianping |
|
2011
|
Singly diagonally implicit Runge-Kutta method for time-dependent reaction-diffusion equation. Zbl 1243.65112
Liao, Wenyuan; Yan, Yulian |
|
2011
|
A computational method to estimate the unknown coefficient in a wave equation using boundary measurements. Zbl 1252.65160
Liao, Wenyuan |
|
2011
|
A fourth-order finite-difference method for solving the system of two-dimensional Burgers’ equations. Zbl 1377.65108
Liao, Wenyuan |
|
2010
|
Grouping time series by pairwise measures of redundancy. Zbl 1238.92028
Marinazzo, D.; Liao, W.; Pellicoro, M.; Stramaglia, S. |
|
2010
|
High-order compact scheme for solving nonlinear Black-Scholes equation with transaction cost. Zbl 1163.91411
Liao, Wenyuan; Khaliq, Abdul Q. M. |
|
2009
|
Direct numerical method for an inverse problem of a parabolic partial differential equation. Zbl 1173.65059
Liao, Wenyuan; Dehghan, Mehdi; Mohebbi, Akbar |
|
2009
|
Adjoint-based optimization of thermo-fluid phenomena in welding processes. Zbl 1180.76050
Volkov, Oleg; Protas, Bartosz; Liao, Wenyuan; Glander, Donn W. |
|
2009
|
An implicit fourth-order compact finite difference scheme for one-dimensional Burgers’ equation. Zbl 1157.65438
Liao, Wenyuan |
|
2008
|
Adjoint-based optimization of PDEs in moving domains. Zbl 1135.65338
Protas, Bartosz; Liao, Wenyuan |
|
2008
|
A fourth-order compact algorithm for nonlinear reaction-diffusion equations with Neumann boundary conditions. Zbl 1092.65073
Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M. |
|
2006
|
An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations. Zbl 1019.65065
Gu, Yuanxian; Liao, Wenyuan; Zhu, Jianping |
|
2003
|
An efficient high-order algorithm for solving systems of reaction-diffusion equations. Zbl 0997.65105
Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M. |
|
2002
|