The Journal of Mathematics, Physics and Mechanics (JMPM) publishes original research articles, review articles, systematic reviews, short communications, technical reports, computational studies, theoretical investigations, case-based engineering analyses, perspective articles, and other scholarly contributions covering mathematics, physics, mechanics, and interdisciplinary scientific research.

The journal welcomes submissions across a broad range of thematic areas, including but not limited to:

Pure Mathematics

• Algebra, abstract algebra, and linear algebra
• Number theory and arithmetic structures
• Geometry, differential geometry, and topology
• Real analysis, complex analysis, and functional analysis
• Mathematical logic, set theory, and foundational mathematics

Applied Mathematics

• Mathematical modeling of physical and engineering systems
• Optimization techniques and operations research
• Numerical analysis and approximation methods
• Computational algorithms and scientific computing
• Mathematical methods for industrial and technological applications

Differential Equations & Dynamical Systems

• Ordinary and partial differential equations
• Nonlinear dynamical systems and chaos theory
• Stability, bifurcation, and control analysis
• Boundary value problems and inverse problems
• Mathematical modeling of time-dependent systems

Probability, Statistics & Data Science

• Probability theory and stochastic processes
• Statistical inference and applied statistics
• Bayesian methods and predictive modeling
• Data analysis and uncertainty quantification
• Mathematical foundations of data science

Computational Mathematics & Scientific Computing

• High-performance scientific computing
• Numerical simulation and computational algorithms
• Finite difference, finite element, and spectral methods
• Parallel computing and mathematical software development
• Large-scale computational modeling

Mathematical Physics

• Mathematical foundations of classical and quantum physics
• Quantum mechanics and quantum field theory
• Statistical physics and thermodynamics
• Electromagnetic theory and wave propagation
• Relativity and mathematical cosmology

Theoretical & Applied Physics

• Condensed matter and solid-state physics
• Atomic, molecular, and optical physics
• Plasma physics and nuclear physics
• Particle physics and high-energy physics
• Astrophysics, cosmology, and space sciences

Mechanics

• Classical and analytical mechanics
• Continuum mechanics and solid mechanics
• Fluid mechanics and computational fluid dynamics
• Structural and engineering mechanics
• Fracture mechanics, elasticity, and plasticity

Materials & Engineering Mechanics

• Mechanics of advanced materials
• Composite and smart materials
• Structural integrity and failure analysis
• Multiscale mechanics and material characterization
• Mechanical behavior under extreme environments

Computational Mechanics

• Finite element analysis and numerical mechanics
• Computational structural analysis
• Multiphysics simulation and coupled systems
• Engineering simulations and predictive modeling
• Mesh generation and adaptive computational techniques

Artificial Intelligence & Computational Intelligence

• Artificial intelligence in mathematical sciences
• Machine learning for physical modeling
• Data-driven computational mechanics
• Intelligent optimization algorithms
• Scientific computing using deep learning

Interdisciplinary Mathematical Sciences

• Engineering mathematics
• Mathematical biology and biomedical modeling
• Financial mathematics and actuarial science
• Cryptography, coding theory, and information security
• Network science and complex systems

Nonlinear Mathematical Physics & PDEs

• Nonlinear partial differential equations
• Nonlinear dispersive evolution equations
• Korteweg–de Vries and generalized KdV equations
• Solitary waves, solitons, and wave propagation
• Stability, instability, and asymptotic stability

Emerging Areas in Mathematics, Physics & Mechanics

• Quantum computing and quantum information science
• Computational materials science
• Renewable energy modeling and simulation
• Digital twins and intelligent engineering systems
• Advanced mathematical methods for emerging technologies

Interdisciplinary Research & Scientific Innovation

• Mathematics integrated with engineering and computer science
• Physics-driven computational technologies
• Mathematical approaches for environmental and climate research
• Scientific visualization and computational imaging
• Emerging interdisciplinary methodologies across mathematics, physics, and mechanics

Applied Physics

• Nanotechnology and nanomaterials
• Experimental physics and physical characterization
• Optical physics and spectroscopy
• Semiconductor physics and electronic properties
• Thin films, coatings, and functional materials
• Applied optics and photonic materials
• Physics of nanoscale materials and devices

Solid-State Physics

• Crystal structure and crystallography
• Crystalline and nanocrystalline materials
• Electronic band structure and energy gaps
• Optical, electrical, and magnetic properties of solids
• Lattice vibrations and phonon dynamics
• Defects, interfaces, and surface phenomena
• Structure–property relationships in solid materials

Materials Physics

• Nanoparticle synthesis and characterization
• Metal oxides and transition-metal oxide materials
• Structural, morphological, and optical properties of materials
• Crystal growth, crystallite size, and particle morphology
• X-ray diffraction and spectroscopic characterization
• Semiconductor nanomaterials and optical band-gap analysis
• Functional nanomaterials and their physical properties

The journal welcomes interdisciplinary studies that combine mathematical, physical, mechanical, computational, and engineering approaches where such integration is relevant to the research question.