Search Results

• Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

  Irina Ginzburg

  2012-11-01

  DOI:10.4208/cicp.211210.280611a

  39356 4425 pp. 1439-1502

• Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-Equilibrium Radiation Diffusion Problem

  Jingyan Yue, Guangwei Yuan

  2011-10-01

  DOI:10.4208/cicp.310110.161010a

  40410 4307 pp. 844-866

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  DOI:10.4208/cicp.OA-2024-0114

  9027 505 pp. 1327-1357

• 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

• 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

• Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

  Meng Li, Yihang Guo, Jingjiang Bi

  2025-08-23

  DOI:10.4208/cicp.OA-2024-0157

  6444 481 pp. 729-765

• A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

  Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li

  2024-01-31

  DOI:10.4208/cicp.OA-2023-0189

  30326 2766 pp. 239-272

• 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

• Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation

  Chris Schoutrop, Jan ten Thije Boonkkamp, Jan van Dijk

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0182

  42800 3915 pp. 156-188

• A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

  Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0047

  45869 3383 pp. 747-766

• 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 Flux-Corrected Phase-Field Method for Surface Diffusion

  Yujie Zhang, Wenjing Ye

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0150

  42313 3267 pp. 422-440

• A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation

  Cheng Wang, Qiwei Sheng, Weimin Han

  2020-07-30

  DOI:10.4208/cicp.310715.290316a

  42248 3533 pp. 1443-1465

• Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media

  Pierre Degond, Alexei Lozinski, Bagus Putra Muljadi, Jacek Narski

  2018-04-02

  DOI:10.4208/cicp.2014.m299

  39083 3030 pp. 887-907

• A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

  Tobias Geback, Alexei Heintz

  2018-03-27

  DOI:10.4208/cicp.161112.230713a

  40825 4160 pp. 487-505

• Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation

  Rongpei Zhang, Xijun Yu, Jiang Zhu, Abimael F. D. Loula, Xia Cui

  2013-11-05

  DOI:10.4208/cicp.190612.010313a

  40771 3998 pp. 1287-1303

• Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential

  Aderito Araujo, Amal K. Das, Cidalia Neves, Ercilia Sousa

  2018-03-27

  DOI:10.4208/cicp.280711.010312a

  39599 4806 pp. 502-525

• Mass Transport/Diffusion and Surface Reaction Process with Lattice Boltzmann

  Giuseppe De Prisco, Xiaowen Shan

  2020-07-21

  DOI:10.4208/cicp.021009.241210s

  38702 3727 pp. 1362-1374

• Language Change and Social Networks

  Jinyun Ke, Tao Gong, William S-Y Wang

  2008-03-01

  40739 4217 pp. 935-949

• Network Embedding Using Sparse Approximations of Random Walks

  Paula Mercurio, Di Liu

  2026-04-10

  DOI:10.4208/cicp.OA-2025-0160

  157 27 pp. 176-198

• 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

• A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems

  Xingding Chen, Guangwei Yuan

  2018-04-03

  DOI:10.4208/cicp.120914.311214a

  39742 3169 pp. 297-320

• Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems

  Weizhang Huang, Yanqiu Wang

  2018-04-03

  DOI:10.4208/cicp.180914.121214a

  42507 4476 pp. 65-90

• An Energy Regularization Method for the Backward Diffusion Problem and Its Applications to Image Deblurring

  Houde Han, Ming Yan, Chunlin Wu

  2008-04-01

  39123 4261 pp. 177-194

• 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

• Domain Decomposition Methods for Diffusion Problems with Discontinuous Coefficients Revisited

  Xuyang Na, Xuejun Xu

  2024-01-31

  DOI:10.4208/cicp.OA-2023-0184

  28700 2683 pp. 212-238

• Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

  Yuan Gao, Jian-Guo Liu

  2023-08-14

  DOI:10.4208/cicp.OA-2023-0021

  33226 3390 pp. 132-172