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• Monotone Finite Difference Schemes for Anisotropic Diffusion Problems via Nonnegative Directional Splittings

  Cuong Ngo & Weizhang Huang

  2018-04-03

  41271 3275 Pages:473-495

• A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

  Yanni Gao, Shuai Wang, Guangwei Yuan & Xudeng Hang

  2019-02-25

  45911 5069 Pages:135-159

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

  Irina Ginzburg

  2012-11-01

  39188 4353 Pages:1439-1502

• 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

  44481 3152 Pages:1561-1584

• 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

  26287 2282 Pages:467-497

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

  Weiming Li, Chang Liu, Peng Song

  2026-01-03

  1670 60 Pages:919-940

• Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

  Jie Shen & Jie Xu

  2018-09-17

  48110 4778 Pages:635-654 Open-access

• An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes

  Shuai Miao, Jiming Wu, Yanzhong Yao

  2023-12-11

  33275 2636 Pages:1277-1305

• Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems

  Xavier Blanc, Francois Hermeline, Emmanuel Labourasse, Julie Patela

  2023-09-04

  34052 2701 Pages:456-502

• 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

  39688 3199 Pages:374-404

• 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

  40388 4661 Pages:53-93

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

  Weizhang Huang & Yanqiu Wang

  2018-04-03

  42409 4415 Pages:65-90

• A Uniformly Convergent Scheme for Radiative Transfer Equation in the Diffusion Limit Up to the Boundary and Interface Layers

  Hongfei Chen, Gaoyu Chen, Xiang Hong, Hao Gao & Min Tang

  2020-07-31

  44940 3301 Pages:1021-1048

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

  Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan

  2021-01-13

  45765 3336 Pages:747-766

• 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

  6319 430 Pages: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

  30212 2641 Pages:239-272

• 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

  47337 5497 Pages:233-264

• A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

  Pascal Jacq, Pierre-Henri Maire & Rémi Abgrall

  2014-10-08

  42418 4167 Pages:841-891

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

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  50181 3663 Pages:1378-1412

• An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression

  Yu-Tuan Lin, Yin-Tzer Shih & Chih-Ching Tsai

  2020-07-31

  40643 3264 Pages:1357-1374

• An Admissible Asymptotic-Preserving Numerical Scheme for the Electronic $M_1$ Model in the Diffusive Limit

  Sébastien Guisset, Stéphane Brull, Bruno Dubroca & Rodolphe Turpault

  2018-09-17

  45276 3607 Pages:1326-1354

• Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

  Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2022-05-06

  45072 3251 Pages:1489-1524

• A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

  Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong

  2019-07-02

  44893 3175 Pages:1118-1142

• An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems

  Yanlong Zhang, Jiming Wu

  2025-09-02

  10142 548 Pages:783-809

• A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

  Hui Xie, Xuejun Xu, Chuanlei Zhai & Heng Yong

  2018-09-17

  45101 3550 Pages:1375-1408

• Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

  Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue

  2021-08-10

  47597 3210 Pages:1185-1215

• Projected Finite Elements for Systems of Reaction-Diffusion Equations on Closed Evolving Spheroidal Surfaces

  Necibe Tuncer & Anotida Madzvamuse

  2018-04-09

  41065 3123 Pages:718-747