Fully Lagrangian and Lattice Boltzmann Methods for the Advection-Diffusion Equation. - Z. L. Guo; Baochang Shi; N. C. Wang (J. Sci. Comput., 1999)

LBGK Simulations of Turing Patterns in CIMA Model. - Qing Li; Chuguang Zheng; Nengchao Wang; Baochang Shi (J. Sci. Comput., 2001)

Two new algorithms based on product system for discrete cosine transform. - Zhaoli Guo; Baochang Shi; Nengchao Wang (Signal Process., 2001)

Extendible look-up table of twiddle factors and radix-8 based fast Fourier transform. - Qing Li 011; Nengchao Wang; Baochang Shi; Chuguang Zheng (Signal Process., 2002)

Lattice Boltzmann Simulations of Fluid Flows. - Baochang Shi; Nangzhong He; Nengchao Wang; Zhaoli Guo; Weibin Guo (APPT, 2003)

Constructing Neighbor-Joining phylogenetic trees with reduced redundancy computation. - Ningtao Chen; Baochang Shi; Nengchao Wang (ICECS, 2005)

The evolving generation and fast algorithms of Walsh transforms. - Ningtao Chen; Nengchao Wang; Baochang Shi (ICECS, 2005)

Computation of gas-solid flows by finite difference Boltzmann equation. - Sheng Chen 003; Zhaohui Liu; Baochang Shi; Chuguang Zheng (Appl. Math. Comput., 2006)

A lattice Boltzmann model for reaction dynamical systems with time delay. - Xiaomei Yu; Baochang Shi (Appl. Math. Comput., 2006)

Lattice Boltzmann Simulation of Mixed Convection in a Driven Cavity Packed with Porous Medium. - Zhenhua Chai; Zhaoli Guo; Baochang Shi (International Conference on Computational Science (1), 2007)

Lattice Boltzmann Simulation of Some Nonlinear Complex Equations. - Baochang Shi (International Conference on Computational Science (1), 2007)

Numerical Study of Cross Diffusion Effects on Double Diffusive Convection with Lattice Boltzmann Method. - Xiaomei Yu; Zhaoli Guo; Baochang Shi (International Conference on Computational Science (1), 2007)

Walsh Function Systems: The Bisectional Evolutional Generation Pattern. - Nengchao Wang; Jianhua Lu; Baochang Shi (ICES, 2007)

A novel coupled lattice Boltzmann model for low Mach number combustion simulation. - Sheng Chen 003; Zhaohui Liu; Chao Zhang; Zhu He; Zhiwei Tian; Baochang Shi; Chuguang Zheng (Appl. Math. Comput., 2007)

A block splitting technique for fast 2D Walsh transform. - Ningtao Chen; Baochang Shi; Nengchao Wang (Signal Process., 2007)

A new algorithm for encoding and decoding the Hilbert order. - Ningtao Chen; Nengchao Wang; Baochang Shi (Softw. Pract. Exp., 2007)

A simple lattice Boltzmann scheme for combustion simulation. - Sheng Chen 003; Zhaohui Liu; Zhiwei Tian; Baochang Shi; Chuguang Zheng (Comput. Math. Appl., 2008)

The lattice Boltzmann method for the thermocapillary flow in a cavity under microgravity condition. - Rui Du; Baochang Shi (Comput. Math. Appl., 2008)

A new scheme for source term in LBGK model for convection-diffusion equation. - Baochang Shi; Bin Deng; Rui Du; Xingwang Chen (Comput. Math. Appl., 2008)

Multicore computing of the lattice Boltzmann method: A backward-facing step flow example. - Weibin Guo; Zhaoli Guo; Baochang Shi (ICNC, 2010)

Kinetic theory based lattice Boltzmann equation with viscous dissipation and pressure work for axisymmetric thermal flows. - Lin Zheng; Zhaoli Guo; Baochang Shi; Chuguang Zheng (J. Comput. Phys., 2010)

Velocity inversion of micro cylindrical Couette flow: A lattice Boltzmann study. - Zhaoli Guo; Baochang Shi; Chuguang Zheng (Comput. Math. Appl., 2011)

Lattice Boltzmann simulation of some nonlinear convection-diffusion equations. - Baochang Shi; Zhaoli Guo (Comput. Math. Appl., 2011)

Application of Lattice Boltzmann Method to Image Filtering. - Wenhuan Zhang; Baochang Shi (J. Math. Imaging Vis., 2012)

Numerical solution of Burgers' equation by lattice Boltzmann method. - Yun Gao; Li-Hua Le; Baochang Shi (Appl. Math. Comput., 2013)

Lattice Boltzmann study of flow and mixing characteristics of two-dimensional confined impinging streams with uniform and non-uniform inlet jets. - Wenhuan Zhang; Zhenhua Chai; Baochang Shi; Zhaoli Guo (Comput. Math. Appl., 2013)

Lattice Boltzmann method for filtering and contour detection of the natural images. - Junhui Chen; Zhenhua Chai; Baochang Shi; Wenhuan Zhang (Comput. Math. Appl., 2014)

Coupled lattice Boltzmann method for generalized Keller-Segel chemotaxis model. - Xuguang Yang; Baochang Shi; Zhenhua Chai (Comput. Math. Appl., 2014)

An Efficient Lattice Boltzmann Model for Steady Convection-Diffusion Equation. - Qianhuan Li; Zhenhua Chai; Baochang Shi (J. Sci. Comput., 2014)

A Coupled Lattice Boltzmann Method to Solve Nernst-Planck Model for Simulating Electro-osmotic Flows. - Xuguang Yang; Baochang Shi; Zhenhua Chai; Zhaoli Guo (J. Sci. Comput., 2014)

A novel lattice Boltzmann model for the coupled viscous Burgers' equations. - Qianhuan Li; Zhenhua Chai; Baochang Shi (Appl. Math. Comput., 2015)

Evolving generation and fast algorithms of slantlet transform and slantlet-Walsh transform. - Xiuqiao Xiang; Baochang Shi (Appl. Math. Comput., 2015)

Lattice Boltzmann model for a class of convection-diffusion equations with variable coefficients. - Qianhuan Li; Zhenhua Chai; Baochang Shi (Comput. Math. Appl., 2015)

14-velocity and 18-velocity multiple-relaxation-time lattice Boltzmann models for three-dimensional incompressible flows. - Wenhuan Zhang; Baochang Shi; Yihang Wang 002 (Comput. Math. Appl., 2015)

Lattice Boltzmann simulation of heat and fluid flow in 3D cylindrical heat exchanger with porous blocks. - Fumei Rong; Baochang Shi; Xilin Cui (Appl. Math. Comput., 2016)

A lattice Boltzmann study of the asymmetry effect on the hemodynamics in stented fusiform aneurysms. - Lei Wang; Baochang Shi; Zhenhua Chai (Comput. Math. Appl., 2016)

Discrete unified gas kinetic scheme with a force term for incompressible fluid flows. - Chen Wu; Baochang Shi; Zhenhua Chai; Peng Wang 041 (Comput. Math. Appl., 2016)

A Multiple-Relaxation-Time Lattice Boltzmann Model for General Nonlinear Anisotropic Convection-Diffusion Equations. - Zhenhua Chai; Baochang Shi; Zhaoli Guo (J. Sci. Comput., 2016)

Finite-difference lattice Boltzmann model for nonlinear convection-diffusion equations. - Huili Wang; Baochang Shi; Hong Liang; Zhenhua Chai (Appl. Math. Comput., 2017)

A lattice Boltzmann based local feedback control approach for spiral wave. - Zhimin Hou; Baochang Shi; Zhenhua Chai (Comput. Math. Appl., 2017)

An efficient phase-field-based multiple-relaxation-time lattice Boltzmann model for three-dimensional multiphase flows. - Hong Liang; Baochang Shi; Zhenhua Chai (Comput. Math. Appl., 2017)

Lattice Boltzmann models for two-dimensional coupled Burgers' equations. - Qianhuan Li; Zhenhua Chai; Baochang Shi (Comput. Math. Appl., 2018)

The computation of strain rate tensor in multiple-relaxation-time lattice Boltzmann model. - Wenhuan Zhang; Changsheng Huang; Yihang Wang 002; Baochang Shi; Shibo Kuang; Zhenhua Chai (Comput. Math. Appl., 2018)

Lattice Boltzmann model for time sub-diffusion equation in Caputo sense. - Rui Du; Dongke Sun; Baochang Shi; Zhenhua Chai (Appl. Math. Comput., 2019)

Dynamic behavior of droplet through a confining orifice: A lattice Boltzmann study. - Xiaolei Yuan; Zhenhua Chai; Baochang Shi (Comput. Math. Appl., 2019)

Mesoscopic Simulation of the (2 + 1)-Dimensional Wave Equation with Nonlinear Damping and Source Terms Using the Lattice Boltzmann BGK Model. - Demei Li; Huilin Lai; Baochang Shi (Entropy, 2019)

A Lattice Boltzmann Model for Two-Phase Flow in Porous Media. - Zhenhua Chai; Hong Liang; Rui Du; Baochang Shi (SIAM J. Sci. Comput., 2019)

A generalized lattice Boltzmann model for solid-liquid phase change with variable density and thermophysical properties. - Yong Zhao; Gerald G. Pereira; Shibo Kuang; Zhenhua Chai; Baochang Shi (Appl. Math. Lett., 2020)

A finite-difference lattice Boltzmann method with second-order accuracy of time and space for incompressible flow. - Xinmeng Chen; Zhenhua Chai; Huili Wang; Baochang Shi (Comput. Math. Appl., 2020)

Discrete effects on some boundary schemes of multiple-relaxation-time lattice Boltzmann model for convection-diffusion equations. - Yao Wu; Yong Zhao; Zhenhua Chai; Baochang Shi (Comput. Math. Appl., 2020)

A generalized lattice Boltzmann model for fluid flow system and its application in two-phase flows. - Xiaolei Yuan; Zhenhua Chai; Huili Wang; Baochang Shi (Comput. Math. Appl., 2020)

A block triple-relaxation-time lattice Boltzmann model for nonlinear anisotropic convection-diffusion equations. - Yong Zhao; Yao Wu; Zhenhua Chai; Baochang Shi (Comput. Math. Appl., 2020)

A multiple-relaxation-time lattice Boltzmann model based four-level finite-difference scheme for one-dimensional diffusion equation. - Yuxin Lin; Ning Hong; Baochang Shi; Zhenhua Chai (CoRR, 2020)

A lattice Boltzmann model for the coupled cross-diffusion-fluid system. - Chengjie Zhan; Zhenhua Chai; Baochang Shi (Appl. Math. Comput., 2021)

On a modified pseudopotential lattice Boltzmann model for multicomponent flows. - Yong Zhao; Gerald G. Pereira; Shibo Kuang; Baochang Shi (Appl. Math. Lett., 2021)

Discrete unified gas kinetic scheme for incompressible Navier-Stokes equations. - Jinlong Shang; Zhenhua Chai; Xinmeng Chen; Baochang Shi (Comput. Math. Appl., 2021)

A recursive finite-difference lattice Boltzmann model for the convection-diffusion equation with a source term. - Changsheng Huang; Zhenhua Chai; Baochang Shi (Appl. Math. Lett., 2022)

A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries. - Xi Liu; Zhenhua Chai; Chengjie Zhan; Baochang Shi; Wenhuan Zhang (Multiscale Model. Simul., 2022)

A general fourth-order mesoscopic multiple-relaxation-time lattice Boltzmann model and equivalent macroscopic finite-difference scheme for two-dimensional diffusion equations. - Ying Chen; Zhenhua Chai; Baochang Shi (CoRR, 2023)

The macroscopic finite-difference scheme and modified equations of the general propagation multiple-relaxation-time lattice Boltzmann model. - Ying Chen; Xi Liu; Zhenhua Chai; Baochang Shi (CoRR, 2023)

A lattice Boltzmann model based on Cole-Hopf transformation for N-dimensional coupled Burgers' equations. - Fumei Rong; Qianhuan Li; Baochang Shi; Zhenhua Chai (Comput. Math. Appl., 2023)

A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts. - Xiaolei Yuan; Yao Wu; Chunhua Zhang; Zhenhua Chai; Baochang Shi (Comput. Math. Appl., 2023)

A discrete Hermite moments based multiple-relaxation-time lattice Boltzmann model for convection-diffusion equations. - Yao Wu; Zhenhua Chai; Xiaolei Yuan; Xiuya Guo; Baochang Shi (Comput. Math. Appl., 2024)

A unified fourth-order Bhatnagar-Gross-Krook lattice Boltzmann model for high-dimensional linear hyperbolic equations. - Ying Chen; Zhenhua Chai; Baochang Shi (CoRR, 2024)

A general fourth-order mesoscopic multiple-relaxation-time lattice Boltzmann model and its macroscopic finite-difference scheme for two-dimensional diffusion equations. - Ying Chen; Zhenhua Chai; Baochang Shi (J. Comput. Phys., 2024)

Lattice Boltzmann method for surface quasi-geostrophic equations with fractional Laplacian. - Haoyuan Gong; Tongtong Zhou; Baochang Shi; Rui Du (Appl. Math. Lett., 2025)

Regularized lattice Boltzmann method based maximum principle and energy stability preserving finite-difference scheme for the Allen-Cahn equation. - Ying Chen; Xi Liu; Zhenhua Chai; Baochang Shi (J. Comput. Phys., 2025)

A thermodynamically consistent and conservative diffuse-interface model for gas/liquid-liquid-solid flows. - Chengjie Zhan; Xi Liu; Zhenhua Chai; Baochang Shi (J. Comput. Phys., 2025)

A Consistent and Conservative Diffuse-Domain Lattice Boltzmann Method for Multiphase Flows in Complex Geometries. - Xi Liu; Chengjie Zhan; Ying Chen; Zhenhua Chai; Baochang Shi (SIAM J. Sci. Comput., 2025)

An automatic approach to develop the fourth-order and L2-stable lattice Boltzmann model for diagonal-anisotropic diffusion equations. - Ying Chen; Zhenhua Chai; Baochang Shi (CoRR, 2025)

A Cole-Hopf Transformation Based Fourth-Order Multiple-Relaxation-Time Lattice Boltzmann Model for the Coupled Burgers' Equations. - Ying Chen; Xi Liu; Zhenhua Chai; Baochang Shi (J. Sci. Comput., 2025)

Equilibrium-distribution-function based mesoscopic finite-difference methods for partial differential equations: Modeling and Analysis. - Baochang Shi; Rui Du; Zhenhua Chai (CoRR, 2025)