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• Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

  Wansheng Wang, Chengyu Jin, Yi Huang

  2025-03-14

  11037 784 Pages:840-866

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  11206 814 Pages:732-757

• Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations

  Wenhuan Zhang, Shibo Kuang, Zhenhua Chai, Baochang Shi

  2025-05-12

  8819 543 Pages:1037-1062

• Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

  Chunlong Sun, Gongsheng Li, Xianzheng Jia

  2021-07-01

  42043 3600 Pages:1525-1546

• Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

  M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi

  2014-06-01

  43011 4232 Pages:247-260

• The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients

  C. M. Fan, C.S. Chen, J. Monroe

  2018-08-10

  42848 4303 Pages:215-230

• The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

  Jinting Yang, Hongxia Liang, Tong Zhang

  2021-07-01

  47534 4104 Pages:1481-1519

• Sensitivity Analysis and Computations of the Time Relaxation Model

  Monika Neda, Fran Pahlevani, Jiajia Waters

  2018-03-29

  42578 4444 Pages:89-115

• Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

  Leilei Wei, Yinnian He, Xindong Zhang

  2018-05-05

  41538 3117 Pages:510-527

• Numerical Method for the Time Fractional Fokker-Planck Equation

  Xue-Nian Cao, Jiang-Li Fu, Hu Huang

  2021-07-01

  42765 4207 Pages:848-863

• Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle

  Qiumei Huang, Kun Jiang, Jingwei Li

  2022-01-24

  42494 3430 Pages:494-527

• Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

  Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang

  2022-08-08

  292660 4130 Pages:1302-1332

• Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model

  Edison E. Chukwuemeka, Shawn W. Walker

  2021-11-18

  50160 3959 Pages:1-32

• High Order Efficient Algorithm for Computation of MHD Flow Ensembles

  Muhammad Mohebujjaman

  2022-06-13

  43098 3456 Pages:1111-1137

• The Investigation of Rayleigh-Taylor Mixing with a Premixed Layer by BHR Turbulence Model

  Yang Song, Lili Wang, Pei Wang

  2022-06-13

  42990 3490 Pages:1017-1039

• An Improved Single-Relaxation-Time Multiphase Lattice Boltzmann Model for Multiphase Flows with Large Density Ratios and High Reynolds Numbers

  Qiaozhong Li, Xiaodong Niu, Zhiliang Lu, You Li, Adnan Khan, Zishu Yu

  2020-12-18

  44274 3217 Pages:426-454

• A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

  Zhiyong Xing, Liping Wen

  2020-12-18

  44135 3185 Pages:285-295

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45031 3067 Pages:1261-1292

• Multiple-Relaxation-Time Lattice Boltzmann Simulation of Magnetic Field Effect on Natural Convection of Non-Newtonian Nanofluid in Rectangular Enclosure

  J. Quader Yuki, Ishan Sen, M. Mahfil Q. Sakib, Preetom Nag, Md. Mamun Molla

  2021-06-08

  46193 3199 Pages:1142-1168

• A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation with Time Dependent Dispersion Coefficients and Source Terms

  Eric Ngondiep

  2021-06-08

  45533 3141 Pages:1005-1026

• A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

  Luoping Chen, Yanping Chen

  2018-09-17

  44385 3116 Pages:409-423

• A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

  Ajmia Younes Orfi, Driss Yakoubi

  2018-09-17

  44766 3155 Pages:301-321

• Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay

  Chengjian Zhang, Siyi Wang, Changyang Tang

  2024-01-04

  27418 2411 Pages:423-436

• Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

  Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang

  2025-09-29

  5129 302 Pages:1591-1624

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2025-10-04

  4619 135 Pages:601-641

• Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

  Huimin Ma, Pengzhan Huang

  2025-10-14

  4582 264 Pages:109-113

• Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

  Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu

  2025-11-22

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