期刊名：Mathematics

期刊主页：https://www.mdpi.com/journal/mathematics

高影响力综述论文是学科领域的重要学术资源，其不仅系统梳理了研究方向的核心进展，更揭示了未来发展的潜在路径与深层关联。为助力读者精准把握数学理论及其应用的前沿动态，帮助广大研究者在纷繁的文献中快速定位关键方向，本期文献清单精选了2024-2025年 15篇高被引综述文章，涵盖了“最优化理论与方法”、“数值分析与计算”和“动力系统与控制理论”等主题。

一、最优化理论与方法

1. Recent Advances in Optimization Methods for Machine Learning: A Systematic Review

机器学习优化方法的最新进展：系统性综述

https://www.mdpi.com/2227-7390/13/13/2210

Liu, X.; Qi, H.; Jia, S.; Guo, Y.; Liu, Y. Recent Advances in Optimization Methods for Machine Learning: A Systematic Review. Mathematics 2025, 13, 2210.

2. A Review of Intelligent Airfoil Aerodynamic Optimization Methods Based on Data-Driven Advanced Models

基于数据驱动先进模型的智能翼型气动优化方法综述

https://www.mdpi.com/2227-7390/12/10/1417

Wang, L.; Zhang, H.; Wang, C.; Tao, J.; Lan, X.; Sun, G.; Feng, J. A Review of Intelligent Airfoil Aerodynamic Optimization Methods Based on Data-Driven Advanced Models. Mathematics 2024, 12, 1417.

3. A Survey of Approximation Algorithms for the Universal Facility Location Problem

通用设施选址问题的近似算法综述

https://www.mdpi.com/2227-7390/13/7/1023

Xiao, H.; Zhang, J.; Zhang, Z.; Li, W. A Survey of Approximation Algorithms for the Universal Facility Location Problem. Mathematics 2025, 13, 1023.

4. Machine Learning for Enhancing Metaheuristics in Global Optimization: A Comprehensive Review

机器学习增强元启发式全局优化：综合综述

https://www.mdpi.com/2227-7390/13/18/2909

Bolufé-Röhler, A.; Tamayo-Vera, D. Machine Learning for Enhancing Metaheuristics in Global Optimization: A Comprehensive Review. Mathematics 2025, 13, 2909.

5. Truck Appointment Scheduling: A Review of Models and Algorithms

货车预约调度：模型与算法综述

https://www.mdpi.com/2227-7390/13/3/503

Gracia, M.D.; Mar-Ortiz, J.; Vargas, M. Truck Appointment Scheduling: A Review of Models and Algorithms. Mathematics 2025, 13, 503.

6. Optimizing Electricity Markets Through Game-Theoretical Methods: Strategic and Policy Implications for Power Purchasing and Generation Enterprises

基于博弈论方法优化电力市场：购电与发电企业的策略及政策启示

https://www.mdpi.com/2227-7390/13/3/373

Cheng, L.; Huang, P.; Zhang, M.; Yang, R.; Wang, Y. Optimizing Electricity Markets Through Game-Theoretical Methods: Strategic and Policy Implications for Power Purchasing and Generation Enterprises. Mathematics 2025, 13, 373.

二、数值分析与计算

7. A Survey on Solving the Matrix Equation AXB = C with Applications

矩阵方程 AXB=C 求解方法及其应用综述

https://www.mdpi.com/2227-7390/13/3/450

Wang, Q.-W.; Xie, L.-M.; Gao, Z.-H. A Survey on Solving the Matrix Equation AXB = C with Applications. Mathematics 2025, 13, 450.

8. Advancements in Physics-Informed Neural Networks for Laminated Composites: A Comprehensive Review

物理信息神经网络在层合复合材料中的进展：综合综述

https://www.mdpi.com/2227-7390/13/1/17

Khalid, S.; Yazdani, M.H.; Azad, M.M.; Elahi, M.U.; Raouf, I.; Kim, H.S. Advancements in Physics-Informed Neural Networks for Laminated Composites: A Comprehensive Review. Mathematics 2025, 13, 17.

9. Modeling Wave Packet Dynamics and Exploring Applications: A Comprehensive Guide to the Nonlinear Schrödinger Equation

波包动力学建模与应用探究：非线性薛定谔方程完整导论

https://www.mdpi.com/2227-7390/12/5/744

Karjanto, N. Modeling Wave Packet Dynamics and Exploring Applications: A Comprehensive Guide to the Nonlinear Schrödinger Equation. Mathematics 2024, 12, 744.

10. Numerical Analysis of Damage in Composites: From Intra-Layer to Delamination and Data-Assisted Methods

复合材料损伤数值分析：从层内到分层及数据辅助方法

https://www.mdpi.com/2227-7390/13/10/1578

Taherzadeh-Fard, A.; Cornejo, A.; Jiménez, S.; Barbu, L.G. Numerical Analysis of Damage in Composites: From Intra-Layer to Delamination and Data-Assisted Methods. Mathematics 2025, 13, 1578.

11. Review of Experimental, Theoretical and Numerical Advances in Multi-Crack Fracture Mechanics

多裂纹断裂力学中的实验、理论与数值进展综述

https://www.mdpi.com/2227-7390/12/24/3881

Wang, Z.-W.; Li, D.M.; Zhong, Y.-F.; Liu, Y.-K.; Shao, Y.-N. Review of Experimental, Theoretical and Numerical Advances in Multi-Crack Fracture Mechanics. Mathematics 2024, 12, 3881.

12. Physics-Informed Neural Networks for Higher-Order Nonlinear Schrödinger Equations: Soliton Dynamics in External Potentials

求解高阶非线性薛定谔方程的物理信息神经网络：外势场中的孤子动力学

https://www.mdpi.com/2227-7390/13/11/1882

Serkin, L.; Belyaeva, T.L. Physics-Informed Neural Networks for Higher-Order Nonlinear Schrödinger Equations: Soliton Dynamics in External Potentials. Mathematics 2025, 13, 1882.

三、动力系统与控制理论

13. Complex Dynamics and Intelligent Control: Advances, Challenges, and Applications in Mining and Industrial Processes

复杂动力学与智能控制：矿业与工业过程中的进展、挑战与应用

https://www.mdpi.com/2227-7390/13/6/961

Rojas, L.; Yepes, V.; Garcia, J. Complex Dynamics and Intelligent Control: Advances, Challenges, and Applications in Mining and Industrial Processes. Mathematics 2025, 13, 961.

14. Compliant Force Control for Robots: A Survey

机器人柔顺力控制综述

https://www.mdpi.com/2227-7390/13/13/2204

Zhu, M.; Gong, D.; Zhao, Y.; Chen, J.; Qi, J.; Song, S. Compliant Force Control for Robots: A Survey. Mathematics 2025, 13, 2204.

15. PID vs. Model-Based Control for the Double Integrator Plus Dead-Time Model: Noise Attenuation and Robustness Aspects

双积分器加纯滞后模型下 PID 控制与基于模型控制对比：噪声抑制与鲁棒性方面

https://www.mdpi.com/2227-7390/13/4/664

Huba, M.; Bistak, P.; Vrancic, D.; Sun, M. PID vs. Model-Based Control for the Double Integrator Plus Dead-Time Model: Noise Attenuation and Robustness Aspects. Mathematics 2025, 13, 664.

期刊介绍

主编：Francisco Chiclana, School of Computer Science and Informatics, De Montfort University, UK

期刊主题涵盖纯数学和应用数学所有领域，重点发表代数与逻辑、几何与拓扑、数学分析、统计与运筹学、应用数学，包括数学与计算机科学、控制理论与力学、数学生物学、数学物理、金融数学等数学在其他各学科应用的文章。现已被SCIE (Web of Science)、Scopus等重要数据库收录，连续8年稳居JCR Q1，JCR category rank: 28/492。

2025 Impact Factor：2.3

2025 CiteScore：5.4

Time to First Decision：17.4 Days

Acceptance to Publication：2.8 Days