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Mathematics publishes Special Issues to create collections of papers on specific topics, with the aim of building a community of authors and readers to discuss the latest research and develop new ideas and research directions. Special Issues are led by Guest Editors, who are experts on the topic and all Special Issue submissions follow MDPI's standard editorial process. The journal’s Editor-in-Chief and/or designated Editorial Board Member will oversee Guest Editor appointments and Special Issue proposals, checking their content for relevance and ensuring the suitability of the material for the journal. The papers published in a Special Issue will be collected and displayed on a dedicated page of the journal’s website. Further information on MDPI's Special Issue policies and Guest Editor responsibilities can be found here. For any inquiries related to a Special Issue, please contact the Editorial Office.

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Advanced Modeling and Design of Vibration and Wave Systems
edited by and
submission deadline 20 Jul 2026 | 4 articles | Viewed by 5967 | Submission Open
Keywords: nonlinear dynamics; multi-scale interactions; multi-physics systems; metastructures; phononic crystals; data-driven modeling; advanced analytical modeling; advanced numerical modeling; design optimization; physics-informed AI; AI-driven inverse design
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Intelligent Data Mining and Decision Making for Prognostics and Health Management
edited by
submission deadline 20 Jul 2026 | 2 articles | Viewed by 3219 | Submission Open
Keywords: data mining; decision making; uncertainty measurement; information fusion; feature extraction; fault knowledge mining; sensor layout optimization; fault-tolerant control; fault reconstruction; fault detection; fault diagnosis; remaining useful life prediction; health status assessment; optimized maintenance; medical data analysis; big data; large language model
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Fusion of Evolutionary Computation and Multidisciplinary Innovations for Emerging Optimization Challenges
edited by and Jun Yu
submission deadline 20 Jul 2026 | 2 articles | Viewed by 1200 | Submission Open
Keywords: meta-/hyper-heuristics optimization; AI-driven optimization; optimization theory analysis; mathematical optimization algorithms; evolutionary computation; interdisciplinary applications      
(This special issue belongs to the Section E: Applied Mathematics)
Nonlinear Dynamics and Control of Vibrations
edited by , Peihua Feng and Zhiyong Zhang
submission deadline 20 Jul 2026 | Viewed by 437 | Submission Open
Keywords: nonlinear dynamics; vibration control; chaos and bifurcations; rotordynamics; active and passive control; structural dynamics; mechanical vibrations; flow-induced vibrations; stability analysis; intelligent control algorithms
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Optimization Problems: Methods and Applications
edited by
submission deadline 20 Jul 2026 | Viewed by 235 | Submission Open
Keywords: continuous optimization; combinatorial optimization; stochastic optimization; robust optimization; sparse optimization; manifold optimization; evolutionary optimization; distributed optimization; nonsmooth optimization; machine learning; data science; artificial intelligence; neural networks
(This special issue belongs to the Section E: Applied Mathematics)
Advances in Computational Physics and Mathematical Physics submission deadline 20 Jul 2026 | Viewed by 103 | Submission Open
Keywords: fluid dynamics; wave phenomena; mathematical methods; numerical methods; electromagnetism; atmospheric pressure plasma; mathematical cosmology; AI        
(This special issue belongs to the Section E4: Mathematical Physics)
Constraint Utilization in Data and Signal Processing
edited by
submission deadline 20 Jul 2026 | Viewed by 95 | Submission Open
Keywords: dynamic modeling; geometrical analysis; optimization; estimation; numerical analysis; fitting; equality/inequality constraint
(This special issue belongs to the Section E: Applied Mathematics)
On Stability, Bifurcation, and Chaos in Dynamical Systems: Theory and Applications
edited by Zeraoulia Elhadj
submission deadline 20 Jul 2026 | Viewed by 85 | Submission Open
Keywords: dynamical systems; stability analysis; control theory; chaos; discrete mappings; bifurcations
(This special issue belongs to the Section C2: Dynamical Systems)
Mathematical Methods for Deep Neural Network Optimization submission deadline 20 Jul 2026 | Viewed by 85 | Submission Open
Keywords: deep neural networks (DNNs); optimization methods; gradient descent and variants; convex and non-convex optimization; stochastic optimization; variational methods; approximation theory; regularization techniques; generalization and stability; convergence analysis; numerical linear algebra in DNNs; sparse and low-rank methods; differential equations and dynamical systems; Bayesian optimization; mathematical foundations of machine learning
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Analysis of Functional Logic Programming and Its Applications
edited by
submission deadline 20 Jul 2026 | Viewed by 76 | Submission Open
Keywords: declarative programming; pure functions; first-class functions; unification; resolution
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Medical Statistics and Data Analytics
edited by Fotios Siannis and
submission deadline 20 Jul 2026 | Viewed by 35 | Submission Open
Keywords: medical statistics; meta-analysis; survival analysis; statistical modeling; time-to-event data; survival data; hazard functions; individual participant data (IPD); aggregate data; evidence synthesis; heterogeneity; network meta-analysis; proportional hazards models; biomedical data analytics; evidence-based medicine
(This special issue belongs to the Section D1: Probability and Statistics)
Research on Wavelet Analysis and Applications
edited by Shuli Mei
submission deadline 21 Jul 2026 | Viewed by 125 | Submission Open
Keywords: wavelet theory; deep learning; wavelet networks; signal processing; image analysis; machine learning; multiscale analysis; computational methods; time– frequency analysis; wavelet transform
(This special issue belongs to the Section E: Applied Mathematics)
Advances in Combinatorics, Tropical Geometry and Geometry of Matroids
edited by and Manchun Leung
submission deadline 22 Jul 2026 | Viewed by 103 | Submission Open
Keywords: combinatorics; tropical geometry; geometry of matroids; polyhedral geometry; computational geometry; algorithmic algebraic geometry; Chern– Schwartz– MacPherson classes; toric geometry; Schubert geometry; representation theory; combinatorics of polytopes and fans; coxeter/cluster structures
(This special issue belongs to the Section B: Geometry and Topology)
Image Processing and Machine Learning with Applications
edited by Qingsen Yan, and Xu Jia
submission deadline 30 Jul 2026 | 7 articles | Viewed by 10896 | Submission Open
Keywords: machine learning algorithm; computer vision; image processing; artificial intelligence
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Advanced Machine Learning Techniques for Big Data Challenges
edited by Gang Wang, Jing Liu and Jingling Ma
submission deadline 30 Jul 2026 | 1 articles | Viewed by 2456 | Submission Open
Keywords: generative artificial intelligence (GAI); large language models (LLMs); graph neural networks; reinforcement learning; federated learning; self-supervised learning; transfer learning; ensemble learning; machine learning; big data
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Improvement of Large Language Model with Applied Mathematics
edited by
submission deadline 30 Jul 2026 | Viewed by 345 | Submission Open
Keywords: LLM; mathematical analysis; response instability; knowledge hallucination
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Advances in Machine Learning Applied to Financial Economics
edited by Saejoon Kim
submission deadline 31 Jul 2026 | 3 articles | Viewed by 10972 | Submission Open
Keywords: machine learning; deep learning; generative artificial intelligence; representation learning; asset pricing models and asset price dynamics; arbitrage pricing; option pricing; equilibrium-based pricing; high-frequency trading; optimal asset allocation and portfolios; factor models; latent factors; time series prediction; risk management; value at risk; volatility estimation; cross section of returns
(This special issue belongs to the Section E5: Financial Mathematics)
New Advances in Image Processing and Computer Vision submission deadline 31 Jul 2026 | 4 articles | Viewed by 10674 | Submission Open
Keywords: image analysis and understanding; image enhancement; image segmentation; motion estimation and analysis; biomedical image processing applications; steganography and image watermarking; 3D vision; pattern recognition; object detection; machine learning applications
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Recent Advances in Post-Quantum Cryptography
edited by Chi Cheng, and Yanbin Pan
submission deadline 31 Jul 2026 | 3 articles | Viewed by 5880 | Submission Open
Keywords: post-quantum cryptography; quantum-resilient algorithms; NIST standards; cryptographic implementation; security and attack mitigation
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Application of Mathematical Modeling and Simulation to Transportation submission deadline 31 Jul 2026 | 3 articles | Viewed by 5733 | Submission Open
Keywords: intelligent transportation systems (ITSs); mathematical modeling; optimization; sustainable transportation; traffic flow theory; transportation challenges; transportation infrastructure; transportation networks
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Mathematics for Artificial Intelligence and Big Data Analysis submission deadline 31 Jul 2026 | 2 articles | Viewed by 5647 | Submission Open
Keywords: data mining; artificial intelligence; big data analysis; machine learning; deep learning; probability and statistics; computational mathematics; compression; feature engineering; optimization
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Numerical Analysis and Finite Element Method with Applications
edited by Junqi Zhang and Guoliang Zhang
submission deadline 31 Jul 2026 | 5 articles | Viewed by 5628 | Submission Open
Keywords: computational mechanics; novel discretization schemes; finite element method; multi-physics simulation; nonlinear analysis; multi-scale modeling; topological optimization; inverse problem; high-performance computing; data-driven modeling
(This special issue belongs to the Section E: Applied Mathematics)
Mathematics Optimization Algorithms and Scheduling Optimization of Manufacturing Systems
edited by , Zhihai Zhang, Jian Chen and Chaobo Yan
submission deadline 31 Jul 2026 | 3 articles | Viewed by 3788 | Submission Open
Keywords: manufacturing system; scheduling; service-oriented manufacturing; intelligent manufacturing; sustainable manufacturing; optimization methods; optimization algorithms; logistics; data-driven; decision making; operations research; metaheuristics algorithms; industrial applications; mathematical programming; game theory; supply chain; multi-objective problems; evolutionary computation; computational intelligence; vehicle routing; smart city
(This special issue belongs to the Section D2: Operations Research and Fuzzy Decision Making)
Advances in Multiple-Criteria Decision Making: New Trends and Applications
edited by and Marko Mihić
submission deadline 31 Jul 2026 | 3 articles | Viewed by 3583 | Submission Open
Keywords: advances in traditional MCDM methods; hybrid MCDM methods and models; developing new MCDM methods; introducing innovative extensions to the MCDM methods; applications of MCDM in industry and business; MCDM for policy and governance; MCDM in risk assessment and crisis management; sustainability and green MCDM applications; MCDM in emerging technologies
(This special issue belongs to the Section D2: Operations Research and Fuzzy Decision Making)
Data-Driven or AI-Driven Optimization Algorithms and Their Applications
edited by , , Lijun Zhu and Yongman Zhao
submission deadline 31 Jul 2026 | 3 articles | Viewed by 3344 | Submission Open
Keywords: planning and scheduling; supply chain management; construction heuristics; metaheuristics; approximation and randomized algorithms; mixed integer programming; algorithmic game theory; deep reinforcement learning; graph neural networks; simulation and digital twins; real-time and online optimization; explainable and interpretable optimization; optimization for sustainability; stochastic optimization; robust optimization; contextual optimization; distributed optimization; variational inequalities and numerical approximations; cross-disciplinary applications
Advanced Optimization Methods and Applications, 3rd Edition submission deadline 31 Jul 2026 | 2 articles | Viewed by 3211 | Submission Open
Keywords: optimization algorithms; heuristics and metaheuristics; approximation algorithms; network optimization; location problems; fuzzy optimization; combinatorial optimization; inverse optimization problems; robust optimization; graph theory; optimal control; forecasting; machine learning; artificial intelligence; parallel programming; mathematical optimization; optimization applications
(This special issue belongs to the Section E: Applied Mathematics)
Advanced Algorithms in Wireless Communication and Internet of Things (IoT), 2nd Edition
edited by and Mohammad Hayajneh
submission deadline 31 Jul 2026 | 3 articles | Viewed by 2836 | Submission Open
Keywords: Internet of Things; machine learning algorithms; advanced algorithms; wireless communications; cryptography; energy efficient routing; channel estimation; network optimization; modulation; channel coding
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Advances in Algebraic Structures: Representation Theory and Lie Groups
edited by Guy Biyogmam
submission deadline 31 Jul 2026 | 3 articles | Viewed by 2452 | Submission Open
Keywords: algebraic structures; algebraic groups; lie groups; lie algebras; representation theory; root systems; coxeter groups; characteristic classes; flag varieties; quantum groups; holonomy; variational methods
AI, Machine Learning and Optimization
edited by and
submission deadline 31 Jul 2026 | 3 articles | Viewed by 2445 | Submission Open
Keywords: artificial intelligence; machine learning; deep learning; optimization algorithms; meta-heuristics; neural networks; reinforcement learning; evolutionary computation; Bayesian optimization; mathematical programming; combinatorial optimization; constraint satisfaction; federated learning; meta-heuristics; stochastic optimization; explainable AI; autonomous systems; cognitive computing; algorithm discovery; neural architecture search
(This special issue belongs to the Section E: Applied Mathematics)
Nonlinear Dynamics and Chaos Theory, 2nd Edition
edited by , and
submission deadline 31 Jul 2026 | 4 articles | Viewed by 2160 | Submission Open
Keywords: stability; bifurcation; chaos; hidden and multi-scroll attractors; singularities
(This special issue belongs to the Section E: Applied Mathematics)
Machine Learning and Data Mining for Time Series and Model Adaptation
edited by
submission deadline 31 Jul 2026 | 1 articles | Viewed by 2116 | Submission Open
Keywords: machine learning; data mining; time series; model adaptation; forecasting; anomaly detection; real-time adaptation; test time adaptation; distribution shift; continual learning; online learning; federated learning    
(This special issue belongs to the Section E: Applied Mathematics)
Multi-Objective Optimizations and Their Applications
edited by , Jie Tian and
submission deadline 31 Jul 2026 | 2 articles | Viewed by 1754 | Submission Open
Keywords: multi-objective optimization; surrogate-assisted; multi-objective; data-driven optimization
(This special issue belongs to the Section D2: Operations Research and Fuzzy Decision Making)
New Advances in Mathematical Applications for Reliability Analysis
edited by and
submission deadline 31 Jul 2026 | 1 articles | Viewed by 1451 | Submission Open
Keywords: reliability analysis; probabilistic modeling; statistical inference; markov models; stochastic models and methods; machine learning in reliability; optimization techniques; system failure prediction; risk assessment; fault detection and diagnostics; survival analysis; bayesian methods; structural reliability; reliability modeling; failure data analysis; maintenance modeling
(This special issue belongs to the Section D1: Probability and Statistics)
Finite Element Method and Applications in Mathematical Modeling and Engineering: Modeling, Analysis, and Simulations
edited by and
submission deadline 31 Jul 2026 | 2 articles | Viewed by 1352 | Submission Open
Keywords: finite element method; topology optimization; wave propagation; acoustic metamaterials; numerical PDEs; high-performance computing; inverse problems; engineering applications
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Applications of Machine Learning and Pattern Recognition
edited by
submission deadline 31 Jul 2026 | 1 articles | Viewed by 1268 | Submission Open
Keywords: machine learning; pattern recognition; mathematical modeling; optimization algorithms; neural networks; statistical inference; feature extraction; multi-task learning; signal processing; computer vision; time series analysis; probabilistic models; deep learning; interpretability; modular architectures
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Mathematical Methods and N-Body Problem in Celestial Mechanics
edited by Juan Francisco Navarro
submission deadline 31 Jul 2026 | 1 articles | Viewed by 1189 | Submission Open
Keywords: N-body ring problem; N-body problem; three-body problem; hill problem; stability; periodic orbits; coorbital satellites; planetary rings; AI; numerical methods for the N-body problem; hybrid methods; neural networks
(This special issue belongs to the Section E4: Mathematical Physics)
Numerical Analysis of Differential Equations with Applications
edited by
submission deadline 31 Jul 2026 | 1 articles | Viewed by 1121 | Submission Open
Keywords: mathematical models for ordinary differential equations; mathematical methods for partial differential equations; numerical methods for ordinary differential equations; numerical methods for partial differential equations; existence analysis for differential equations; convergence analysis for differential equations; computational experiments for differential equations
(This special issue belongs to the Section E: Applied Mathematics)
Analysis and Applications of Numerical Methods for Wave-Propagation Problems
edited by and Maria Vasilyeva
submission deadline 31 Jul 2026 | 1 articles | Viewed by 997 | Submission Open
Keywords: discontinuous Galerkin; wave equation; numerical analysis; finite elements; hyperbolic equations; wave propagation; finite difference method; finite volume method; spectral element method; enriched Galerkin method; mixed finite element method; multiscale methods; upscaling/homogeneization
(This special issue belongs to the Section E: Applied Mathematics)
Modeling and Control in Vibrational and Structural Dynamics submission deadline 31 Jul 2026 | 1 articles | Viewed by 858 | Submission Open
Keywords: modeling and control in vibrational and structural dynamics; active sound and vibration control; classical/numerical methods for studying dynamic systems; soil– structure; structural– acoustic; and fluid– structural interactions; stability and bifurcation analyses; linear/nonlinear beams; arches; cables; plates; and shells; active and passive control; sensor and actuator; experimental studies and measurement techniques; vibration isolation; optimization for a structural problem; harmonic balance method; perturbation method; method of multiple scales; nonlinear oscillator
(This special issue belongs to the Section E4: Mathematical Physics)
Mathematical Methods Based on Control Theory
edited by Massimiliano d'Angelo, Valerio Cusimano and Giovanni Palombo
submission deadline 31 Jul 2026 | 1 articles | Viewed by 732 | Submission Open
Keywords: hybrid feedback control design; stochastic systems; contraction theory; infinitedimensional systems; data-driven methods; optimization and game theory; multi-agent systems; sensor networks; systems biology; energy systems; control for machine learning
(This special issue belongs to the Section E2: Control Theory and Mechanics)
New Trends in Fractional Differential Equations with Applications
edited by
submission deadline 31 Jul 2026 | 1 articles | Viewed by 712 | Submission Open
Keywords: fractional differential equations; fractional calculus; chaotic systems; applications
(This special issue belongs to the Section C2: Dynamical Systems)
Deep Learning Algorithms and Game Theory Models for Intelligent Information Processing and Decision-Making
edited by Wenjun Ma, Xiaomao Fan and
submission deadline 31 Jul 2026 | 1 articles | Viewed by 637 | Submission Open
Keywords: deep learning; game theory model; multi-agent systems  ; decision-making; neural rendering; ethical AI
(This special issue belongs to the Section E1: Mathematics and Computer Science)
New Advances in Computational Statistics and Extreme Value Theory submission deadline 31 Jul 2026 | 2 articles | Viewed by 601 | Submission Open
Keywords: computational statistics; extreme value theory; copula models; order statistics; bayesian methods; machine learning for extremes; risk assessment; hydrology and climate applications
(This special issue belongs to the Section D1: Probability and Statistics)
Advances in Stochastic Differential Equations and Applications
edited by Yonggui Kao
submission deadline 31 Jul 2026 | Viewed by 600 | Submission Open
Keywords: stochastic differential equations; stochastic system control; variable structure control theory; complex theory; complex network theory; distributed parameter system theory
(This special issue belongs to the Section C1: Difference and Differential Equations)
Applications of Algebra, Geometry, and Optimization to Control Theory, 2nd Edition
edited by
submission deadline 31 Jul 2026 | 1 articles | Viewed by 577 | Submission Open
Keywords: geometric control; algebraic control; optimization; stability control theory; control system
Mathematical Methods and Artificial Intelligence in Information Recognition
edited by
submission deadline 31 Jul 2026 | Viewed by 480 | Submission Open
Keywords: mathematical methods; Artificial Intelligence (AI); deep learning; medical imaging; Computer-Aided Diagnosis (CAD); Large Language Models (LLMs); information recognition; optimization and statistical learning; explainable and trustworthy AI; applications beyond healthcare (finance; security; smart cities; IoT)
(This special issue belongs to the Section E: Applied Mathematics)
Machine Learning and Artificial Intelligence in Recommender Systems
edited by
submission deadline 31 Jul 2026 | Viewed by 477 | Submission Open
Keywords: contrastive learning in recommendation; reinforcement learning for recommendation; adversarial learning in recommender systems; cross-domain recommendation; explainable and fair AI in recommender systems; responsible and trustworthy recommendation      
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Nonlinear Evolution Equations and Their Solutions submission deadline 31 Jul 2026 | Viewed by 464 | Submission Open
Keywords: nonlinear evolution equations; nonlinear dynamical systems; applied mathematics
(This special issue belongs to the Section C1: Difference and Differential Equations)
Graph Learning Methods in Data Science with Applications
edited by Marco Podda and Daniele Castellana
submission deadline 31 Jul 2026 | Viewed by 456 | Submission Open
Keywords: graph neural networks; graph representation learning; Bayesian methods for graphs; reservoir computing for graphs; kernels for graphs; learning on dynamic and temporal graphs; learning on multi-relational and heterogeneous graphs; continual learning on graphs; adversarial attacks on graphs; graph generation
(This special issue belongs to the Section E: Applied Mathematics)
Computational Intelligence for Multimodal Data Modeling and Perception
edited by and Kangjian He
submission deadline 31 Jul 2026 | 1 articles | Viewed by 430 | Submission Open
Keywords: computer vision; embodied perception; multimodal data fusion; multimodal alignment; multimodal learning; multimodal data modeling; cross-modal learning; computational intelligence
(This special issue belongs to the Section E1: Mathematics and Computer Science)
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