Applied Mathematics in Science and Engineering
Scope & Guideline
Transforming Ideas into Solutions with Applied Mathematics.
Introduction
Aims and Scopes
- Mathematical Modeling:
The journal focuses on developing mathematical models to describe complex phenomena in science and engineering, including biology, physics, and environmental studies. - Numerical Analysis:
A significant emphasis is placed on numerical methods and algorithms for solving differential equations, optimization problems, and simulations relevant to engineering applications. - Fractional Calculus:
Research involving fractional derivatives and integrals has gained prominence, showcasing their applications in various fields such as control theory, signal processing, and dynamical systems. - Statistical and Probabilistic Methods:
The journal includes studies that apply statistical and probabilistic models to analyze data and predict outcomes in fields like epidemiology, finance, and resource management. - Interdisciplinary Applications:
The journal encourages research that integrates mathematics with other disciplines, highlighting applications in health sciences, environmental science, and engineering technology.
Trending and Emerging
- Fractional Differential Equations:
There is a growing interest in fractional differential equations, which are being applied to model complex systems in biology, physics, and engineering, highlighting their significance in contemporary research. - Machine Learning and Artificial Intelligence:
The application of machine learning techniques, particularly in predictive modeling and data analysis, is increasingly featured, reflecting the integration of computational methods with traditional mathematical approaches. - Epidemiological Modeling:
Research focused on mathematical modeling of infectious diseases, particularly in light of the COVID-19 pandemic, has surged, demonstrating the relevance of applied mathematics in public health. - Numerical Solutions for Nonlinear Problems:
There is a notable trend towards developing advanced numerical methods for solving nonlinear equations, which are crucial for simulating real-world phenomena in various scientific fields. - Complex Systems and Dynamics:
The exploration of complex dynamical systems, including those influenced by fractals and chaotic behavior, is gaining attention, reflecting a broader interest in understanding intricate interactions within systems.
Declining or Waning
- Purely Theoretical Mathematics:
There has been a noticeable decrease in papers focused solely on pure theoretical mathematics without direct applications, as the journal increasingly prioritizes applied studies. - Basic Algebra and Combinatorics:
Research centered on elementary algebra and combinatorial studies appears to be waning, possibly due to a shift towards more complex applications involving advanced mathematical structures. - Traditional Numerical Methods:
While numerical analysis remains a core area, traditional methods that do not incorporate contemporary advancements, like machine learning, are being published less frequently. - Classical Control Theory:
Classical control methods are becoming less common in favor of more contemporary approaches, such as adaptive and robust control strategies that leverage advanced mathematical frameworks.
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