Search Results

• Derivation of Asymptotic Limiting Equations for Multigroup Anisotropic-Scattering Transport Processes in Optically Thick Regimes

  Weiming Li, Chang Liu, Peng Song

  2026-01-03

  DOI:10.4208/cicp.OA-2024-0181

  1926 98 pp. 919-940

• Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

  Jialin Lou, Xiaodong Liu, Hong Luo, Hiroaki Nishikawa

  2019-01-10

  DOI:10.4208/cicp.OA-2017-0186

  51043 4087 pp. 1302-1327

• A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

  K. B. Nakshatrala, H. Nagarajan, M. Shabouei

  2018-04-03

  DOI:10.4208/cicp.180615.280815a

  40479 4767 pp. 53-93

• The Finite Point Method for Solving the 2-D 3-T Diffusion Equations

  Guixia Lv, Longjun Shen

  2019-04-04

  DOI:10.4208/cicp.OA-2017-0223

  45215 3379 pp. 413-433

• New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations

  Feng Shi, Guoping Liang, Yubo Zhao, Jun Zou

  2014-11-08

  DOI:10.4208/cicp.031013.030614a

  41301 3934 pp. 1239-1262

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  DOI:10.4208/cicp.OA-2025-0130

  797 159 pp. 1027-1058

• Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

  Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan

  2022-05-06

  DOI:10.4208/cicp.OA-2021-0185

  44588 3183 pp. 1561-1584

• A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

  Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng

  2020-02-23

  DOI:10.4208/cicp.OA-2019-0066

  47570 3264 pp. 1201-1233

• A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations

  Huiqiang Yue, Jian Cheng, Tiegang Liu

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0080

  42675 3304 pp. 375-392

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0005

  47446 5581 pp. 233-264

• Lattice Boltzmann Modeling of Advection-Diffusion-Reaction Equations: Pattern Formation Under Uniform Differential Advection

  S. G. Ayodele, D. Raabe, F. Varnik

  2020-07-31

  DOI:10.4208/cicp.441011.270112s

  41335 4482 pp. 741-756

• Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

  Xiao-Qing Jin, Fu-Rong Lin, Zhi Zhao

  2018-04-03

  DOI:10.4208/cicp.120314.230115a

  38783 3172 pp. 469-488

• The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

  Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2023-01-24

  DOI:10.4208/cicp.OA-2022-0130

  37889 3083 pp. 1437-1473

• Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

  K. Monysekar, Y. V. S. S. Sanyasiraju

  2019-12-07

  DOI:10.4208/cicp.OA-2018-0054

  45198 3172 pp. 460-479

• A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

  Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong

  2024-03-13

  DOI:10.4208/cicp.OA-2023-0180

  26439 2329 pp. 467-497

• Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?

  S. Karimi, K. B. Nakshatrala

  2018-04-04

  DOI:10.4208/cicp.181015.270416a

  39793 3241 pp. 374-404

• A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore

  Jehanzeb Hameed Chaudhry, Jeffrey Comer, Aleksei Aksimentiev, Luke N. Olson

  2014-01-05

  DOI:10.4208/cicp.101112.100413a

  40718 4279 pp. 93-125

• A $H^T_N$-Based UGKS Scheme for the Three-Temperature Radiative Transfer Equations

  Qi Li, Song Jiang, Wenjun Sun

  2025-08-08

  DOI:10.4208/cicp.OA-2024-0209

  4704 501 pp. 317-347

• A Sylvester-Based IMEX Method via Differentiation Matrices for Solving Nonlinear Parabolic Equations

  Francisco de la Hoz, Fernando Vadillo

  2013-10-05

  DOI:10.4208/cicp.050612.180113a

  38589 3875 pp. 1001-1026

• Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

  Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0081

  41322 3496 pp. 425-451

• A Physics-Wise Splitting Preconditioner with Selective Relaxation for the Multi-Group Radiation Diffusion Equations in Three Dimensions

  Xiaoqiang Yue, Junbai Hou, Long Yuan, Xiaowen Xu, Shi Shu

  2025-08-08

  DOI:10.4208/cicp.OA-2023-0147

  4651 477 pp. 467-490

• Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions

  Xiaoqiang Yue, Jianmeng He, Xiaowen Xu, Shi Shu, Libo Wang

  2022-09-29

  DOI:10.4208/cicp.OA-2021-0223

  41791 3334 pp. 829-849

• An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

  Shuai Su, Huazhong Tang, Jiming Wu

  2021-05-25

  DOI:10.4208/cicp.OA-2020-0088

  48871 3170 pp. 448-485

• Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations

  Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu, Shi Shu, Weidong Shi

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0030

  46018 3278 pp. 831-852

• A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  DOI:10.4208/cicp.OA-2018-0292

  50302 3700 pp. 1378-1412

• A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

  Juan Sun, Zhaojie Zhou, Huipo Liu

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0120

  44697 3636 pp. 1355-1374

• Substructuring Preconditioners with a Simple Coarse Space for 2-D 3-T Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Junxian Wang, Zhiyang Zhou

  2018-08-21

  DOI:10.4208/cicp.OA-2017-0065

  46812 3331 pp. 540-560