【期刊信息】Advances in Applied Mathematics and Mechanics， Volume 18, 2026

摘要

HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs
Shijun Liao

Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance
Jingrun Chen, Xuhong Liu, Jiangqiong Mao & Wei Yang

The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering
Lingling Sun, Hai Bi & Yidu Yang

Numerical Investigation of Dynamics Stall on Vertical Axis Wind Turbine
Ao Zhang, Haocheng Yu, Jingzhou Zeng, Wei Zhao, Hao Wen & Jianguo Zheng

Inexact Iterative WYD Method for Eigenvalue Problems
Fangyi Zheng, Jianyang Luo & Shuli Sun

Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach
Huimin Ma & Pengzhan Huang

Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations
Xiangyi Meng, Yan Xu & J. J. W. Van der Vegt

A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic
Equations on Rectangular Domains
Kejia Pan, Pengde Wang, Jinxuan Wang & Xiaoxin Wu

An Inverse Problem with the Final Overdetermination for the Mean Field Games System
Michael V. Klibanov, Jingzhi Li & Hongyu Liu

Pointwise Goal-Oriented a Posteriori Error Estimates Using Dual Problems with Dirac Delta Source Terms for Linear Elliptic Problems
Fei Li, Jingang Liu, Nianyu Yi & Liuqiang Zhong

The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities
Shuzhi Liu & Qinglong Zhang

An Effective $\ell_p$-Nonconvex Regularization Method for Image Smoothing
Biao Fang, Xiao-Guang Lv, Guo-Liang Zhu, Le Jiang & Jia-Qi Mei

Meshfree Methods for the Helmholtz Equation with Variable Wave Speed
Zhiyong Liu & Qiuyan Xu

High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs
Bo Li & Weidong Zhao

Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D
Shicheng Liu, Xiangyun Meng & Qilong Zhai