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• United Filter for Jointly Estimating State and Parameters of Stochastic Dynamical Systems

  Feng Bao, Zezhong Zhang, Guannan Zhang

  2026-01-03

  1724 78 Pages:747-774

• 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

• An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Xiaowen Xu & Zhiyang Zhou

  2020-07-30

  40059 3339 Pages:1313-1335

• A Finite Volume Scheme for Three-Dimensional Diffusion Equations

  Xiang Lai, Zhiqiang Sheng & Guangwei Yuan

  2018-04-03

  39391 3106 Pages:650-672

• $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

  Michael Junk & Zhaoxia Yang

  2018-04-02

  41203 3341 Pages:1225-1245

• Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations

  Guang-Hua Gao & Hai-Wei Sun

  2020-07-30

  40381 3057 Pages:487-509

• Full Wave Simulations of Lower Hybrid Waves in Toroidal Geometry with Non-Maxwellian Electrons

  J. C. Wright, E. J. Valeo, C. K. Phillips, P. T. Bonoli & M. Brambilla

  2008-09-05

  38923 3996 Pages:545-555

• A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows

  B. Manach-Pérennou, R. Chauvin, S. Guisset, J.-P. Perlat

  2025-07-11

  5281 583 Pages:1-36

• High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

  Guanlan Huang, Sebastiano Boscarino, Tao Xiong

  2024-06-14

  35685 1864 Pages:1229-1262

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36696 1938 Pages:1155-1193

• Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

  Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang

  2023-12-11

  34592 2662 Pages:1215-1246

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

  Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He

  2023-03-13

  41178 3454 Pages:425-451

• 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

• 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

• DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data

  Hao Xu, Haibin Chang, Dongxiao Zhang

  2021-01-13

  55176 3525 Pages:698-728

• 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

• Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme

  Yahui Wang, Ming Xie & Yu Ma

  2019-01-10

  46549 3876 Pages:1446-1468

• 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

• 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

• 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 Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li & Hong Wang

  2018-09-17

  47038 3319 Pages:531-556

• Coarse-Grained Molecular Dynamics Simulation of DPPC Lipid Bilayers: Size Effect on Structural and Dynamic Properties

  Bei Li

  2018-08-21

  46559 3603 Pages:1476-1487

• Liquid Fuel Evaporation under Supercritical Conditions

  Guowei Xiao, Kai Hong Luo, Xiao Ma & Shijin Shuai

  2020-07-31

  49426 3222 Pages:1241-1262

• Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations: A Second-Order Scheme

  Yonggui Yan, Zhi-Zhong Sun & Jiwei Zhang

  2017-10-02

  44398 3413 Pages:1028-1048

• 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

• A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes

  Yunlong Yu, Yanzhong Yao, Guangwei Yuan & Xingding Chen

  2020-07-30

  42324 3412 Pages:1405-1423

• An Adaptive Grid Method for Singularly Perturbed Time-Dependent Convection-Diffusion Problems

  Yanping Chen & Li-Bin Liu

  2020-07-30

  42006 3457 Pages:1340-1358