Search Results

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0124

  142377 5909 pp. 1-29

• Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

  Hao Yuan, Xiaoping Xie

  2022-01-24

  DOI:10.4208/aamm.OA-2021-0014

  42162 3417 pp. 344-364

• Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

  Xiaojing Xu, Xiaoping Xie

  2018-05-05

  DOI:10.4208/aamm.2015.m1326

  42116 3083 pp. 324-348

• Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

  Dong Liu, Weihua Deng

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0015

  8722 593 pp. 1204-1238

• Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

  Danni Zhang, Ruihan Guo

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0204

  39136 3550 pp. 545-567

• A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

  Zhendong Luo

  2014-06-01

  DOI:10.4208/aamm.2013.m83

  42994 4483 pp. 615-636

• Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

  Xiaowei Bi, Demin Liu

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0256

  15449 1424 pp. 1519-1548

• A Quadratic Finite Volume Method for Parabolic Problems

  Yuanyuan Zhang, Xiaoping Liu

  2023-10-11

  DOI:10.4208/aamm.OA-2021-0313

  30657 2767 pp. 1407-1427

• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  DOI:10.4208/aamm.10-m1210

  42650 4733 pp. 496-518

• Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

  Yayun Fu, Hongliang Liu

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0095

  8767 621 pp. 1088-1110

• Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

  Hongmei Zhang, Jicheng Jin, Jianyun Wang

  2013-05-01

  DOI:10.4208/aamm.12-m1206

  41893 4438 pp. 180-193

• Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

  Yuan Li, Xuewei Cui

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0025

  14412 1298 pp. 263-294

• A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

  Xi Zhang, Minfu Feng

  2022-04-11

  DOI:10.4208/aamm.OA-2020-0346

  45574 3681 pp. 936-959

• Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

  Minghao Li, Zhenzhen Li, Dongyang Shi

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0239

  48004 4398 pp. 248-274

• Finite Element Methods for Nonlinear Backward Stochastic Partial Differential Equations and Their Error Estimates

  Xu Yang, Weidong Zhao

  2021-07-01

  DOI:10.4208/aamm.OA-2019-0345

  48142 4217 pp. 1457-1480

• Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations

  Xiaoqing Xing, Yanping Chen

  2011-03-01

  DOI:10.4208/aamm.10-m1006

  41383 4076 pp. 401-419

• Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

  Jichun Li

  2018-08-10

  43171 4776 pp. 107-124

• Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

  Gang Chen, Minfu Feng

  2018-05-05

  DOI:10.4208/aamm.2014.m713

  42040 3030 pp. 362-377

• Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

  Wangbo Luo, Yanxiang Zhao

  2024-12-02

  DOI:10.4208/aamm.OA-2024-0161

  17683 1291 pp. 69-103

• Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

  Junru Guo, Demin Liu

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0238

  8143 582 pp. 1509-1549

• Finite Volume Element Method for a Nonlinear Parabolic Equation

  Yanwei Du, Yonghai Li

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0258

  11454 858 pp. 681-705

• A Fully Discrete Method for Space-Time Fractional Parabolic Problems

  Zunlin Tan, Xiaoping Xie

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0056

  1041 96 pp. 1210-1241

• An Efficient Numerical Method for the Valuation of American Better-of Options Based on the Front-Fixing Transform and the Far Field Truncation

  Xiaowei Pang, Haiming Song, Xiaoshen Wang, Kai Zhang

  2020-06-01

  DOI:10.4208/aamm.OA-2019-0107

  50912 3471 pp. 902-919

• The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

  Xiuli Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0088

  49455 5390 pp. 164-188

• Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation

  Yan Yang, Shiquan Zhang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0280

  44031 3157 pp. 1279-1304

• A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

  Jun Yang, Nianyu Yi

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0255

  40271 3517 pp. 583-601

• A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

  Shimin Chai, Yongkui Zou, Wenju Zhao

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0028

  44672 3117 pp. 467-485