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AppliedMath 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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Mathematical Innovations in Thermal Dynamics and Optimization

edited by

and

submission deadline 31 May 2026 | 1 articles | Viewed by 1465 | Submission Open

Keywords: ordinary and partial differential equations in modeling thermal processes; finite element method; finite volume method; delay-differential equations for heating– cooling loops; diffusive representation; thermal sigma-delta modulation; transformation thermotics; thermal boundary condition; adaptive and predictive control of thermal processes; cooling and freezing models; linear and nonlinear programming; genetic algorithm; swarm algorithms; simulated annealing; deep and reinforcement learning

(This special issue belongs to the Section Computational and Numerical Mathematics)

Algebraic Combinatorics in Data Science and Optimisation

edited by

Takayuki Hibi

submission deadline 30 Jun 2026 | 2 articles | Viewed by 4255 | Submission Open

Keywords: convex polytope; finite partially ordered set; finite graph; simplicial complex; statistics; experimental design; business acumen; communication; databases; marketing; discrete optimization; linear programming; integer programming; machine learning

(This special issue belongs to the Section Deterministic Mathematics)

Large Language Models and Applications

edited by

Milan Čabarkapa

Dragan Ranđelović

and

Nikola Komatina

submission deadline 30 Jul 2026 | 1 articles | Viewed by 835 | Submission Open

Keywords: large language models (LLMs); generative AI; natural language processing (NLP); transformer architectures; pre-trained models; fine-tuning and adaptation; multimodal models; prompt engineering; retrieval-augmented generation (RAG); knowledge representation; human– AI interaction; explainable AI (XAI); ethical and trustworthy AI; bias and fairness in AI; scalable training and inference; federated and distributed learning; domain-specific applications; healthcare AI; financial AI; education technology; cybersecurity applications; smart cities and IoT integration; robotics and autonomous systems; evaluation benchmarks and metrics; real-world deployments

(This special issue belongs to the Section Probabilistic & Statistical Mathematics)

Mathematical Modeling and Optimization in Advanced Composite Materials and Structures

edited by

Hui Li

submission deadline 31 Jul 2026 | Viewed by 299 | Submission Open

Keywords: composite materials; composite structure; multiphysics coupling; multiscale modeling; dynamic modeling; vibration and damping performance; interface behavior and delamination; optimization design

(This special issue belongs to the Section Computational and Numerical Mathematics)

Advances in Iterative Methods and Stability Analysis for Solving Nonlinear Problems

edited by

Chih-Wen Chang

submission deadline 31 Aug 2026 | 5 articles | Viewed by 4278 | Submission Open

Keywords: nonlinear problems; iterative methods; stability analysis; mathematical modeling; fractional problems; ordinary/partial differential equations; meshless methods; applications

(This special issue belongs to the Section Computational and Numerical Mathematics)

Applying Deep Learning and Mathematical Models to Social Media

edited by

Yachao Yuan

submission deadline 31 Aug 2026 | Viewed by 176 | Submission Open

Keywords: deep learning; data mining; multimedia data analysis

(This special issue belongs to the Section Probabilistic & Statistical Mathematics)

Applied Mathematical Modeling and Machine Learning for Geomechanics and Superconducting Materials

edited by

Guanglin Tian

, Wenhai Zhou and

Taoying Liu

submission deadline 30 Sep 2026 | 1 articles | Viewed by 1390 | Submission Open

Keywords: discrete element method; machine learning; deep learning; mathematical model; rock mechanics; superconducting mmechanics; soil– rock mixture mechanics

(This special issue belongs to the Section Computational and Numerical Mathematics)

Applied Mathematical Modelling in Mechanical Design and Analysis

edited by

Zelin Liu

Teng Su

and Senlin Xie

submission deadline 30 Sep 2026 | Viewed by 390 | Submission Open

Keywords: applied mathematical modelling; mechanical design; structural mechanics; fracture and damage mechanics; fractional and viscoelastic models; computational mechanics; multi-physics and multi-scale analysis; optimization and inverse problems; data-driven and machine learning methods; reliability and fatigue analysis

(This special issue belongs to the Section Computational and Numerical Mathematics)

Optimization and Machine Learning

edited by

Yu Chen

submission deadline 31 Oct 2026 | 12 articles | Viewed by 88591 | Submission Open

Keywords: optimization; combinatorial optimization; evolutionary optimization; swarm intelligence; metaheuristics; machine learning; reinforcement learning; transfer learning; deep learning; data-driven optimization; large-scale optimization; multi-objective optimization; evolutionary multi-task optimization; evolutionary deep learning

(This special issue belongs to the Section Computational and Numerical Mathematics)

Computer Science, Machine Learning, Algorithms, and Applied Mathematics

edited by

Kunpeng Zhang

and

Jun-Juh Yan

submission deadline 31 Oct 2026 | 1 articles | Viewed by 1329 | Submission Open

Keywords: machine learning; deep learning; evolutionary computation; multi-objective optimization; computational algorithms; feature engineering; marine IoT; intelligent sensing; object detection and tracking; computational intelligence

(This special issue belongs to the Section Computational and Numerical Mathematics)

Feature Papers in AppliedMath

edited by

Takayuki Hibi

submission deadline 30 Nov 2026 | 1 articles | Viewed by 3653 | Submission Open

Keywords: numerical methods; mathematical modeling; data analysis and statistical methods; computational mathematics; optimization techniques; control theory; integrated mathematical applications

Mathematical Structures in Quantum Information and Photonics: From Foundations to Applications

edited by

Artur Czerwinski

submission deadline 30 Nov 2026 | 2 articles | Viewed by 1823 | Submission Open

Keywords: quantum information theory; mathematical physics; quantum entanglement; quantum photonics; quantum optics; quantum computing; quantum communication; network models; quantum algorithms; operator theory

(This special issue belongs to the Section Deterministic Mathematics)

Application of Computational Mathematics and Artificial Intelligence in Numerical Simulations

edited by

Mudassar Razzaq

and Marcel Gurris

submission deadline 30 Nov 2026 | 1 articles | Viewed by 384 | Submission Open

Keywords: computational mathematics; artificial intelligence; machine learning; physics-informed neural networks (PINNs); numerical simulation; scientific computing; data-driven modeling; optimization algorithms; multiphysics systems; computational fluid dynamics (CFD); deep learning for PDEs; inverse problems; surrogate modeling; uncertainty quantification; high-performance computing (HPC)

(This special issue belongs to the Section Computational and Numerical Mathematics)

Advances in Intelligent Control for Solving Optimization Problems

edited by

Guoqiang Tan

submission deadline 31 Dec 2026 | 3 articles | Viewed by 3003 | Submission Open

Keywords: intelligent control; neural networks; fuzzy logic; optimal control; reinforcement

(This special issue belongs to the Section Computational and Numerical Mathematics)

Nonlinear Dynamics and Complex Phenomena in Fluid Mechanics and Related Systems

edited by

Chaudry Masood Khalique

submission deadline 31 Dec 2026 | 3 articles | Viewed by 2025 | Submission Open

Keywords: nonlinear waves; chaos; turbulence; bifurcation; solitons; instabilities; pattern formation

(This special issue belongs to the Section Computational and Numerical Mathematics)

Constructive Sampling Frameworks in Signal Processing and Modern Data Analysis

edited by

Tuncer Acar

submission deadline 31 Dec 2026 | Viewed by 133 | Submission Open

Keywords: sampling theory; constructive approximation; signal processing; data analysis; reconstruction methods; computational methods

(This special issue belongs to the Section Computational and Numerical Mathematics)

Partial Differential Equations (PDEs) and Applied Mathematical Analysis

edited by Edoardo Proietti Lippi

submission deadline 31 Jan 2027 | Viewed by 62 | Submission Open

Keywords: partial differential equations; elliptic operators; parabolic operators; existence of solutions; regularity; applied mathematical analysis; linear/nonlinear equations; local/nonlocal operators

(This special issue belongs to the Section Computational and Numerical Mathematics)

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