Special Issues

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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Recent Developments in Partial Differential Equations and Their Applications
edited by Mengyao Ding
submission deadline 30 Jun 2026 | Viewed by 73 | Submission Open
Keywords: nonlinear elliptic and parabolic equations; nonlocal operators; chemotaxis models; fluid equations
(This special issue belongs to the Section C1: Difference and Differential Equations)
Computational Methods and Applications of Neural Networks
edited by Wuman Luo
submission deadline 30 Jun 2026 | Viewed by 73 | Submission Open
Keywords: deep learning; neural networks; representation learning; learning theory; optimization; probabilistic methods; artificial intelligence for sciences
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Advances in Mathematics Cryptography and Information Security submission deadline 30 Jun 2026 | Viewed by 73 | Submission Open
Keywords: classical cryptography; elliptic-curve cryptography; residuosity-based cryptography; code-based cryptography; lattice-based cryptography; cryptographic protocols; security; privacy
(This special issue belongs to the Section E: Applied Mathematics)
Analysis, Optimization, and Control in Partial Differential Equations
edited by
submission deadline 30 Jun 2026 | Viewed by 67 | Submission Open
Keywords: boundary-value problems; control theory and computation; control of partial differential equations; output regulation theory for infinite-dimensional systems; mathematical theory of artificial intelligence
(This special issue belongs to the Section C1: Difference and Differential Equations)
Optimization-Aware Explainable Machine Learning: Algorithms, Metrics and Applications
edited by
submission deadline 30 Jun 2026 | Viewed by 64 | Submission Open
Keywords: optimization-aware machine learning; explainable artificial intelligence; model interpretability; explanation stability; multi-objective optimization; model selection strategies; trustworthy artificial intelligence; interpretability metrics; stakeholder-aligned explanations; decision support systems
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Application of Neural Networks and Deep Learning, 2nd Edition
edited by and Yundi Chu
submission deadline 30 Jun 2026 | Viewed by 64 | Submission Open
Keywords: fuzzy neural network control; intelligent control; reinforcement learning; deep learning
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Time Series Analysis: Methods and Applications submission deadline 30 Jun 2026 | Viewed by 63 | Submission Open
Keywords: time series analysis; nonlinear and non-stationary processes; multivariate time series; functional time series; robust and semiparametric methods; stochastic process modeling; Bayesian inference and Bayesian control charts; machine learning and deep learning for time series; forecasting and prediction; epidemiological and SEIRD/SEIRDV models; public health surveillance; financial and economic time series; industrial statistics and quality control; profile monitoring; high-dimensional and spatio-temporal data; missing and contaminated data; longitudinal and survival data; operations research and optimization; risk modeling and economic capital models    
(This special issue belongs to the Section D1: Probability and Statistics)
Bio-Inspired Optimization and Computational Intelligence in Complex Systems submission deadline 30 Jun 2026 | Viewed by 57 | Submission Open
Keywords: bio-inspired computing; swarm intelligence; intelligent computing; intelligent embedded systems; fuzzy logic control; evolutionary algorithms; nature-inspired optimization; complex systems; hybrid intelligent systems; computational intelligence; machine learning for optimization; adaptive systems; soft computing; metaheuristic algorithms; real-time intelligent systems
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Recent Advances in Nonlinear Dynamics: Chaos, Synchronization, and Their Theoretical and Practical Applications
edited by Runfa Zhang, Zhongzhou Lan and Jianguo Liu
submission deadline 30 Jun 2026 | Viewed by 56 | Submission Open
Keywords: hemorheology; Hirota bilinear method; chaos; synchronization; integrable system; Lattice Boltzmann method; mathematical physics; matter waves; neural network; nonlinear optics and photonics; nonlinear partial differential equations; nonlinear waves; symbolic computation; solitons; hemodynamics
(This special issue belongs to the Section C2: Dynamical Systems)
Applied Mathematics for Information Security and Applications
edited by Ruey-Shun Chen
submission deadline 30 Jun 2026 | Viewed by 56 | Submission Open
Keywords: cloud/edge; IoT & cyber‑physical systems security; trustworthy AI & LLM security; distributed systems & blockchain security; privacy‑preserving computation & network security; human factors & image security
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Advances in Mathematical Methods of Quantum Mechanics
edited by Maciej W. Janowicz
submission deadline 30 Jun 2026 | Viewed by 55 | Submission Open
Keywords: quantum mechanics; mathematical methods; computational quantum physics; quantum information theory
(This special issue belongs to the Section E: Applied Mathematics)
From Theory to Impact: Applications of Fuzzy Sets and Metaheuristic Algorithms submission deadline 30 Jun 2026 | Viewed by 54 | Submission Open
Keywords: fuzzy sets; intuitionistic fuzzy sets; metaheuristic algorithms; hybrid algorithms; modelling; optimization; control; data mining; uncertainty management; forecasting
(This special issue belongs to the Section D2: Operations Research and Fuzzy Decision Making)
Application of Computer Vision and Image Processing with Machine Learning and Mathematical Methods
edited by
submission deadline 30 Jun 2026 | Viewed by 50 | Submission Open
Keywords: computer vision; image processing; machine learning; deep learning; mathematical modeling; pattern recognition
(This special issue belongs to the Section E: Applied Mathematics)
Advances in Multi-View Clustering: Theory, Algorithms, and Applications
edited by
submission deadline 30 Jun 2026 | Viewed by 49 | Submission Open
Keywords: multi-view clustering; multi-modal learning; deep embedding; transformer; adversarial learning
(This special issue belongs to the Section E1: Mathematics and Computer Science)
New Advances in Complex Networks with Applications
edited by Yang Liu
submission deadline 30 Jun 2026 | Viewed by 49 | Submission Open
Keywords: complex networks; network dynamics; multilayer networks; network resilience; community detection; graph neural networks; temporal networks; network controllability; network embedding; higher-order interactions; network science applications
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Recent and Innovative Advances in the Modeling, Control, and Estimation of Time-Delay Systems in Sciences and Engineering submission deadline 30 Jun 2026 | Viewed by 48 | Submission Open
Keywords: dynamical systems; time-delay systems; delayed controllers; industrial applications; stability and stabilization of systems
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Mathematical Logic and Category Theory with Applications
edited by and Walter Carnielli
submission deadline 30 Jun 2026 | Viewed by 45 | Submission Open
Keywords: category theory; topos theory; model theory; theoretical computer science; non classical logics; algebraic logic; universal algebra; hypercompositional algebra; commutative algebra; smooth commutative algebra
(This special issue belongs to the Section A: Algebra and Logic)
Mathematical Modeling in Computational Biology and Bioinformatics
edited by
submission deadline 30 Jun 2026 | Viewed by 40 | Submission Open
Keywords: mathematical models in biology; biomathematics; computational biology; bioinformatics; molecular evolution; population biology; proteomics; evolutionary genomics; mathematical epidemiology; mathematical models in physiology; symmetry and scaling; complex systems; algebraic models; microbiota stability    
(This special issue belongs to the Section E3: Mathematical Biology)
Advances in Operator Theory and Nonlinear Evolution Equations
edited by
submission deadline 30 Jun 2026 | Viewed by 39 | Submission Open
Keywords: operator theory; nonlinear semigroup; operator algebra; Riesz-Dunford integral; resolvent approximation; logarithmic representation
(This special issue belongs to the Section C: Mathematical Analysis)
Mathematical Programming, Optimization and Applications
edited by
submission deadline 30 Jun 2026 | Viewed by 35 | Submission Open
Keywords: mathematical programming; optimization algorithms; large-scale optimization; stochastic programming; robust optimization; integer programming; multi-objective optimization; operations research; machine learning optimization; applied optimization
(This special issue belongs to the Section D2: Operations Research and Fuzzy Decision Making)
Quantitative Methods in Digital Finance submission deadline 30 Jun 2026 | Viewed by 33 | Submission Open
Keywords: digital finance; fintech; quantitative methods; cryptocurrency modeling; blockchain technology; decentralized finance; machine learning; automated market makers; portfolio optimization
(This special issue belongs to the Section E5: Financial Mathematics)
Mathematical Optimization Methods in Image Processing
edited by
submission deadline 30 Jun 2026 | Viewed by 27 | Submission Open
Keywords: image processing; convex and non-convex optimization; stochastic optimization; computational efficiency; heuristic algorithms; convergence analysis; non-smooth optimization
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Recent Advances in Time Series Analysis, 2nd Edition
edited by Alejandro Ramírez-Rojas and José Rubén Luevano Enríquez
submission deadline 30 Jun 2026 | Viewed by 24 | Submission Open
Keywords: complex time series; fractality/multifractality; visibility graph; natural time domain; non-extensivity; forcasting; newcasting; complexity measures; dynamical systems; chaos; point processes; Allan factor
(This special issue belongs to the Section D1: Probability and Statistics)
Operations Research, Logistics, and Supply Chain Analysis
edited by and
submission deadline 30 Jun 2026 | Viewed by 15 | Submission Open
Keywords: demand forecasting; production planning; supply chain optimization; operations management; inventory control; distribution network design; decision making; game theory; stochastic optimization; robust optimization; data-driven approach; machine learning; optimization algorithm; application research
(This special issue belongs to the Section D2: Operations Research and Fuzzy Decision Making)
Statistical Inference: Methods and Applications
edited by
submission deadline 30 Jun 2026 | Viewed by 14 | Submission Open
Keywords: statistical inference; estimation and hypothesis testing; likelihood-based methods; nonparametric and semiparametric methods; high-dimensional data analysis; Bayesian inference; computational statistics; model selection and averaging; uncertainty quantification; machine learning and statistics; statistical application
(This special issue belongs to the Section D1: Probability and Statistics)
Categorification and Representation Theory in Lie Theory
edited by Linliang Song
submission deadline 30 Jun 2026 | Viewed by 14 | Submission Open
Keywords: categorification; representation theory; Lie theory; quantum groups; flag varieties
(This special issue belongs to the Section A: Algebra and Logic)
Advanced Research in Pure and Applied Algebra, 2nd Edition
edited by
submission deadline 30 Jun 2026 | Viewed by 12 | Submission Open
Keywords: lie Algebra and lie superalgebra; associative algebra; eepresentation theory; cluster algebra; Rota-Baxter algebra; group theory; braces; quantum algebra; matrix algebra
(This special issue belongs to the Section A: Algebra and Logic)
Advances in Robust Control Theory and Its Applications submission deadline 30 Jun 2026 | Viewed by 12 | Submission Open
Keywords: nonlinear control; robust control; control applications; control systems; dynamic systems; control methodologies; sliding mode control; LQR-control; nonlinear control techniques
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Numerical Methods and Applications in Fluid Mechanics submission deadline 30 Jun 2026 | Viewed by 9 | Submission Open
Keywords: computational fluid dynamics (CFD); turbulence modeling; multiphase flow; numerical schemes; alternative numerical methods for fluid flow modelling; adaptive mesh refinement; high-performance computing; numerical stability and accuracy
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Towards Reliable and High-Performance Monitoring and Control of Embodied Autonomous Systems
edited by , Yi Lyu and Xuexi Zhang
submission deadline 30 Jun 2026 | Viewed by 7 | Submission Open
Keywords: supervisory control; communication delays and losses; Petri net; knowledge graph construction; reinforcement learning; feedback control; monitoring technique; large language models (LLMs); domain knowledge; guided generation; data quality; fault diagnosis; remaining useful life prediction; cyber– physical systems monitoring; high-performance control; embodied autonomous systems; reliable monitoring and control; event-triggered scheme; synchronization control; multi-objective routing planning problem; deep reinforcement learning
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Mathematical Foundations and New Advances in Deep Learning Applications
edited by and Geon Woo Lee
submission deadline 1 Jul 2026 | Viewed by 665 | Submission Open
Keywords: mathematical methods in deep learning for speech processing; algorithms for computer vision applications; machine vision and optimization for industrial automation; advances in natural language processing: models and algorithms; deep learning and mathematical modeling in IoT systems; real-time audio and video analysis through neural network algorithms; optimization in edge computing and intelligent IoT devices; mathematical techniques for sensor data analysis in smart environments; cross-disciplinary deep learning applications in healthcare; finance; and security; novel neural network architectures for multi-modal data processing; adaptive systems and machine learning: theoretical foundations; semantic analysis; knowledge representation; and algorithmic approaches; deep learning for smart cities and surveillance systems: algorithmic innovations; usability and user interaction optimization in AI-driven interfaces; evaluation frameworks and methodologies for deep learning-based systems; emerging trends in AI-driven automation: mathematical and algorithmic perspectives
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Mathematical Plasma Physics
edited by Nikos Kallinikos
submission deadline 1 Jul 2026 | Viewed by 502 | Submission Open
Keywords: magnetic confinement; neoclassical transport; magnetic islands; flux surfaces; guiding center; energetic particles; Hamiltonian methods; MHD equilibria; Grad– Shafranov equation; plasma waves; variational techniques; magnetic reconnection; divertors; magnetic coils; stellarators
(This special issue belongs to the Section E4: Mathematical Physics)
Safe, Trustworthy and Ethical Artificial Intelligence: Theory and Applications
edited by Chi Liu and Sheng Shen
submission deadline 1 Jul 2026 | Viewed by 104 | Submission Open
Keywords: artificial intelligence (AI); trustworthiness; ethics; safety; transparency; bias; accountability; privacy; governance; sustainability
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Mathematical Methods and Statistics for Economics, Actuarial Science and Finance
edited by
submission deadline 10 Jul 2026 | 2 articles | Viewed by 1998 | Submission Open
Keywords: econometrics; financial mathematics; actuarial modeling; mathematical economics; quantitative finance; statistical analysis and modeling; time series analysis; optimization techniques; machine learning in finance; big data analytics for economic and financial applications
(This special issue belongs to the Section E: Applied Mathematics)
Mathematical Dynamic Flow Models, 2nd Edition submission deadline 10 Jul 2026 | 1 articles | Viewed by 850 | Submission Open
Keywords: mathematical models; newtonian fluids and non-newtonian fluids; unsteady and steady flows; dynamic flow applications; geodynamic models; numerical simulations
(This special issue belongs to the Section C2: Dynamical Systems)
Next-Generation Quantum Security: Algorithms, Cryptography, and Computational Breakthroughs
edited by and
submission deadline 10 Jul 2026 | Viewed by 138 | Submission Open
Keywords: post-quantum cryptography; cryptographic implementation; protocol security; security architectures; date security; homomorphic encryption; machine learning and ai security; privacy technologies and mechanisms; embedded systems security; side-channel analysis; attacks and defense; hardware security; intrusion detection and prevention        
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Mathematical and Artificial Intelligence Applications in Network Information Security and Network Traffic Processing
edited by and Guangjie Liu
submission deadline 10 Jul 2026 | Viewed by 131 | Submission Open
Keywords: mathematical modeling; network security; encrypted traffic analysis; AI/ML applications; anomaly detection; cybersecurity analytics; network traffic optimization; IoT security; deep learning; machine learning; cryptography; network performance analysis
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Advancements in Privacy-Preserving Collaborative Learning for Graphs
edited by Zhenzhen Xie
submission deadline 10 Jul 2026 | Viewed by 37 | Submission Open
Keywords: collaborative learning; graph learning; privacy
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Statistical and Stochastic Models in Epidemiology
edited by Babak Jamshidi
submission deadline 10 Jul 2026 | Viewed by 13 | Submission Open
Keywords: infectious disease dynamics; stochastic modelling; epidemiological models; bayesian inference; predictive machine learning methods
(This special issue belongs to the Section D1: Probability and Statistics)
Machine Learning with Applications to Image Process and Computer Vision
edited by Chenyang Wang
submission deadline 15 Jul 2026 | Viewed by 58 | Submission Open
Keywords: deep learning; machine learning; computer vision; image processing; optimization theory; evolutionary computation; probabilistic models; generative models
(This special issue belongs to the Section E: Applied Mathematics)
Geometry Meets PDE: Analysis and Applications
edited by
submission deadline 15 Jul 2026 | Viewed by 15 | Submission Open
Keywords: geometric analysis; geometric flows; curvature equations; conformal geometry; riemannian geometry; complex geometry; elliptic PDEs; general relativity; geometric topology
(This special issue belongs to the Section B: Geometry and Topology)
Nonlinear Wave Dynamics: Theories and Applications
edited by Lei Liu
submission deadline 15 Jul 2026 | Viewed by 14 | Submission Open
Keywords: nonlinear wave; soliton; rogue wave; Riemann– Hilbert problem; numerical computation
(This special issue belongs to the Section C2: Dynamical Systems)
New Advances in Network and Edge Computing
edited by Miaojiang Chen, and Wenjing Xiao
submission deadline 17 Jul 2026 | 5 articles | Viewed by 4700 | Submission Open
Keywords: edge computing; deep learning; 5G; next-generation communication networks; applied ML/DL
(This special issue belongs to the Section E1: Mathematics and Computer Science)
Artificial Intelligence and Game Theory
edited by and
submission deadline 20 Jul 2026 | 10 articles | Viewed by 12249 | Submission Open
Keywords: game theory; artificial intelligence; power system; sustainable and renewable energy; engineering optimization decision
(This special issue belongs to the Section E2: Control Theory and Mechanics)
Privacy-Preserving Techniques in AI, Blockchain and Cloud Systems with Formal Mathematical Analysis, 2nd Edition
edited by Jialing He, Zhi Fang and Chunhai Li
submission deadline 20 Jul 2026 | 2 articles | Viewed by 4291 | Submission Open
Keywords: privacy-preserving techniques; secure smart contracts in blockchain; AI-driven threat detection; identity management on decentralized platforms; federated learning; privacy-aware data sharing; trust and reputation management; privacy-enhancing cryptography; scalability optimization; cloud; provable security; symbolic analysis
(This special issue belongs to the Section E: Applied Mathematics)
Intelligent Data Mining and Decision Making for Prognostics and Health Management
edited by
submission deadline 20 Jul 2026 | 2 articles | Viewed by 2840 | 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 | 1 articles | Viewed by 693 | 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 383 | 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)
Constraint Utilization in Data and Signal Processing
edited by
submission deadline 20 Jul 2026 | Viewed by 83 | 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)
Mathematical Methods for Deep Neural Network Optimization submission deadline 20 Jul 2026 | Viewed by 56 | 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)
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