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• Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations

  Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou

  2024-02-29

  27580 2607 Pages:636-666

• An ADI Sparse Grid Method for Pricing Efficiently American Options under the Heston Model

  A. Clevenhaus, M. Ehrhardt, M. Günther

  2021-11-17

  49325 4048 Pages:1384-1397

• A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations

  Yue Feng, Yujie Liu, Ruishu Wang, Shangyou Zhang

  2021-11-18

  50388 4228 Pages:181-201

• The Eulerian-Lagrangian Method with Accurate Numerical Integration

  Kun Li

  2018-08-10

  42175 4202 Pages:156-174

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

  Kolade M. Owolabi, Abdon Atangana

  2021-07-01

  42738 3879 Pages:1438-1460

• Adaptive $hp$-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations

  Pavel Solin, Lenka Dubcova, Ivo Dolezel

  2019-02-13

  40054 3729 Pages:518-532

• A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

  Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur, Fayssal Benkhaldoun

  2023-06-21

  37328 2971 Pages:1335-1378

• A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems

  Juan Zhang, Jiabin Song, Huanzhen Chen

  2023-02-24

  38911 3284 Pages:568-582

• The Random Feature Method for Elliptic Eigenvalue Problems

  Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo

  2025-05-12

  8350 497 Pages:1133-1170

• An Adaptive Finite Element Solver for Demagnetization Field Calculation

  Lei Yang, Guanghui Hu

  2019-06-24

  48579 3259 Pages:1048-1063

• Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

  Yingxiong Xiao, Heng Chen and Lingjie Xie

  2021-07-01

  47916 4194 Pages:1376-1397

• A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems

  Junpu Li, Zhuojia Fu, Wen Chen, Xiaoting Liu

  2019-01-11

  44831 3053 Pages:501-517

• Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

  X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang

  2018-09-17

  45391 3175 Pages:1103-1125

• A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

  Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song

  2018-09-17

  47079 6152 Pages:114-137

• The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

  Zhiyong Xing, Liping Wen

  2019-06-24

  44375 3171 Pages:942-956

• A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

  Tiao Lu, Xingchun Yu, Wenqi Yao

  2025-11-22

  149 4

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2025-10-04

  4619 135 Pages:601-641

• Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

  Shan Zhang, Zihao Yang, Xiaofei Guan

  2022-10-24

  43819 3859 Pages:69-93

• ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

  Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang

  2025-09-29

  5014 252 Pages:1841-1866