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• An Enriched Petrov-Galerkin Method for Darcy Flow in Fractured Porous Media

  Huangxin Chen, Zixuan Wang

  2025-01-14

  7792 1131 Pages:347-393

• A Hybrid Conjugate Gradient Method with Trust Region for Large-Scale Unconstrained Optimization Problems

  A. P. Byengonzi, P. Kaelo, M. Koorapetse, P. Mtagulwa

  2025-06-04

  9928 664 Pages:176-193

• On a Hybrid Method for Inverse Transmission Eigenvalue Problems

  Weishi Yin, Zhaobin Xu, Pinchao Meng, Hongyu Liu

  2024-05-11

  21910 1898 Pages:139-160

• Oscillation-Eliminating Discontinuous Galerkin Methods for Multicomponent Chemically Reacting Flows

  Jie Du, Chuan Fan, Kailiang Wu

  2025-01-14

  8030 1105 Pages:412-444

• Altering Connectivity with Large Deformation Mesh for Lagrangian Method and Its Application in Multiple Material Simulation

  Ruili Wang, Xiao Liang, Zhong Lin

  2022-06-21

  25038 2806 Pages:296-310

• Error Analysis of the Nonconforming $P_1$ Finite Element Method to the Sequential Regularization Formulation for Unsteady Navier-Stokes Equations

  Yanming Lai, Kewei Liang, Ping Lin, Xiliang Lu, Qimeng Quan

  2024-02-29

  20109 2374 Pages:43-70

• A Block-Coordinate Descent Method for Linearly Constrained Minimization Problem

  Xuefang Liu, Zheng Peng

  2022-06-17

  25623 2885 Pages:138-152

• The Improved Fourier Splitting Method and Decay Estimates of the Global Solutions of the Cauchy Problems for Nonlinear Systems of Fluid Dynamics Equations

  Linghai Zhang

  2022-06-21

  25404 2851 Pages:396-417

• An Extension of the $r^p$ Method for Wave Equations with Scale-Critical Potentials and First-Order Terms

  Maxime Van de Moortel

  2025-04-15

  5994 619 Pages:112-154

• High-Order Fully Discrete Energy Diminishing Evolving Surface Finite Element Methods for a Class of Geometric Curvature Flows

  Beiping Duan, Buyang Li, Zhimin Zhang

  2021-12-22

  36011 3284 Pages:405-436

• An Adaptive Gradient Method with Energy and Momentum

  Hailiang Liu, Xuping Tian

  2022-04-15

  39629 3271 Pages:183-222 Open-access

• A Linearized Adaptive Dynamic Diffusion Finite Element Method for Convection-Diffusion-Reaction Equations

  Shaohong Du, Qianqian Hou, Xiaoping Xie

  2023-09-15

  23972 2427 Pages:323-351

• A New Locking-Free Virtual Element Method for Linear Elasticity Problems

  Jianguo Huang, Sen Lin, Yue Yu

  2023-09-15

  23673 2532 Pages:352-384

• Hybrid Iteration Method for Generalized Equilibrium Problems and Fixed Point Problems of a Finite Family of Asymptotically Nonexpansive Mappings

  Jinliang Shen, Jianhua Huang

  2023-09-15

  25591 3027 Pages:18-31

• Bifurcations and New Exact Travelling Wave Solutions of the Coupled Nonlinear Schrödinger-KdV Equations

  Heng Wang, Shuhua Zheng

  2022-06-21

  25525 2768 Pages:288-295

• Traveling Wave Solutions and Their Stability of Nonlinear Schrödinger Equation with Weak Dissipation

  Yancong Xu, Tianzhu Lan, Yongli Liu

  2022-06-21

  25408 2777 Pages:183-199

• On Residual Minimization for PDEs: Failure of PINN, Modified Equation, and Implicit Bias

  Tao Luo, Qixuan Zhou

  2026-01-21

  135 54 Pages:313-376

• The Method of Fundamental Solutions for Optical Fluorescence

  Andreas Karageorghis, Daniel Lesnic

  2025-06-04

  9826 562 Pages:219-238

• Application of the Alternating Direction Method of Multipliers to Control Constrained Parabolic Optimal Control Problems and Beyond

  Roland Glowinski, Yongcun Song, Xiaoming Yuan, Hangrui Yue

  2022-04-15

  43550 3125 Pages:115-158

• An Arbitrary Order Reconstructed Discontinuous Approximation to Biharmonic Interface Problem

  Yan Chen, Ruo Li, Qicheng Liu

  2023-06-29

  24905 2735 Pages:149-180

• Exact Solutions of (2+1)-Dimensional Nonlinear Schrödinger Equation Based on Modified Extended Tanh Method

  Shuhua Zheng, Heng Wang

  2022-06-21

  25421 3089 Pages:102-110

• On the Monotonicity of $Q^3$ Spectral Element Method for Laplacian

  Logan J. Cross, Xiangxiong Zhang

  2024-05-11

  21050 1936 Pages:161-190

• ​A Fast and High Accuracy Numerical Simulation for a Fractional Black-Scholes Model on Two Assets

  Hongmei Zhang, Fawang Liu, Shanzhen Chen, Ming Shen

  2020-08-24

  41273 4027 Pages:91-110

• The Effect of Refuge and Proportional Harvesting for a Predator-Prey System with Reaction-Diffusion

  Xueru Lin

  2021-01-20

  38412 3134 Pages:235-247

• Inverse Scattering Method and Applications

  Boling Guo, Shuyan Chen

  2021-01-27

  40041 3346 Pages:331-355