Search Results

• The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation

  Ting Zhang, Shuqi Cui, Ning Hong, Baochang Shi

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0031

  14551 1227 pp. 224-239

• Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

  Hongyu Chen, Guanghui Hu, Defang Ouyang

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0219

  4397 143 pp. 897-922

• Stability of Regularized Lattice Boltzmann Model for Convection-Diffusion Equations

  Yuanhang Huang, Xinmeng Chen, Zhenhua Chai, Baochang Shi

  2025-07-19

  DOI:10.4208/aamm.OA-2022-0284

  8153 601 pp. 1370-1394

• Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

  Jinhua Lu

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0128

  7272 386 pp. 1715-1741

• Moving Finite Element Simulations for Reaction-Diffusion Systems

  Guanghui Hu, Zhonghua Qiao, Tao Tang

  2012-04-01

  DOI:10.4208/aamm.10-m11180

  42763 4563 pp. 365-381

• Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

  Pu Song, Shuyu Sun

  2012-04-01

  DOI:10.4208/aamm.10-m1108

  42404 4769 pp. 389-421

• An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

  Raimund Bürger, Héctor Torres, Carlos A. Vega

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0189

  44985 3228 pp. 1022-1047

• High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

  Yue Liu, Zhen Gao, Peng Li, Yaguang Gu

  2024-12-31

  DOI:10.4208/aamm.OA-2022-0144

  13296 1310 pp. 554-579

• Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model

  Huipeng Gu, Mingchao Cai, Jingzhi Li

  2025-03-14

  DOI:10.4208/aamm.OA-2024-0074

  11510 881 pp. 778-803

• A Generalized Local Grid Refinement Approach for Modeling of Multi-Physicochemical Transports by Lattice Boltzmann Method

  Amer Alizadeh, Moran Wang

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0130

  45562 4727 pp. 312-337 Open Access

• Modeling and Computation of CO2 Allowance Derivatives Under Jump-Diffusion Processes

  Shuhua Zhang, Jing Wang

  2018-05-05

  DOI:10.4208/aamm.2015.m1001

  42735 3084 pp. 827-846

• On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models

  Xiaoting Gan, Junfeng Yin, Rui Li

  2023-06-21

  DOI:10.4208/aamm.OA-2021-0016

  36982 2979 pp. 1290-1314

• A Meshfree Technique for Numerical Simulation of Reaction-Diffusion Systems in Developmental Biology

  Zahra Jannesari, Mehdi Tatari

  2018-05-05

  DOI:10.4208/aamm.2015.m1085

  45233 3083 pp. 1225-1249

• A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

  Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0052

  47705 3185 pp. 590-618

• An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

  Changfeng Li, Yirang Yuan, Huailing Song

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0332

  46623 3937 pp. 1384-1417

• Optimization of Identifying Point Pollution Sources for the Convection-Diffusion-Reaction Equations

  Yujing Yuan, Dong Liang

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0121

  51496 5060 pp. 1-17

• Lattice Boltzmann Simulation of Free-Surface Temperature Dispersion in Shallow Water Flows

  Mohammed Seaïd, Guido Thömmes

  2018-08-10

  41584 3958 pp. 415-437

• Modelling and Numerical Valuation of Power Derivatives in Energy Markets

  Mai Huong Nguyen, Matthias Ehrhardt

  2012-04-01

  DOI:10.4208/aamm.10-m1133

  41360 5192 pp. 259-293 Open Access

• An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

  Yirang Yuan, Changfeng Li, Huailing Song

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0207

  11559 902 pp. 706-731

• Fitted Finite Volume Method for Pricing American Options under Regime-Switching Jump-Diffusion Models Based on Penalty Method

  Xiaoting Gan, Jun-Feng Yin, Rui Li

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0017

  45245 3407 pp. 748-773

• Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

  Limei Li, Alexander Lapin, Shuhua Zhang

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0144

  45239 3118 pp. 535-558

• Analysis of Finite Difference Approximations of an Optimal Control Problem in Economics

  Alexander Lapin, Shuhua Zhang, Sergey Lapin, Na Yan

  2021-07-01

  DOI:10.4208/aamm.OA-2018-0186

  49044 4491 pp. 1358-1375

• A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

  Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0205

  45637 3298 pp. 1084-1113

• A Modified Regularized Lattice Boltzmann Method for Coupled Thermal-Solutal Problems of Non-Newtonian Fluids in Heterogeneously Porous Media

  Xuguang Yang, Yong Zhao

  2025-05-12

  DOI:10.4208/aamm.OA-2024-0252

  8799 624 pp. 1310-1332

• Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

  Kolade M. Owolabi, Abdon Atangana

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0115

  42954 3932 pp. 1438-1460

• Transient Waves Due to Mechanical Loads in Elasto-Thermo-Diffusive Solids

  J. N. Sharma, N. K. Sharma, K. K. Sharma

  2011-03-01

  DOI:10.4208/aamm.09-m0977

  41849 4775 pp. 87-108

• A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

  Changfeng Li, Yirang Yuan, Aijie Cheng, Huailing Song

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0284

  300627 4023 pp. 1246-1275