Annals of Mathematical Sciences and Applications
Scope & Guideline
Innovative Research at the Intersection of Theory and Application
Introduction
Aims and Scopes
- Applied Mathematics:
The journal emphasizes applied mathematical techniques across diverse fields, including engineering, physics, and biology, showcasing the relevance of mathematical theories in solving real-world problems. - Numerical Analysis:
A significant focus lies in numerical methods and algorithms, addressing computational challenges and developing efficient techniques for solving complex mathematical problems. - Optimization and Control Theory:
Research in optimization and control theory is prevalent, with studies exploring algorithms and frameworks for enhancing decision-making processes and system controls. - Mathematical Modeling:
The journal publishes works on mathematical modeling of phenomena in various disciplines, particularly those that involve dynamic systems and population dynamics. - Theoretical Developments:
Theoretical advancements in mathematical sciences, including new algorithms, mathematical proofs, and conceptual frameworks, are regularly featured, contributing to the foundational knowledge in the field.
Trending and Emerging
- Machine Learning and Deep Learning Applications:
There is a notable increase in research integrating machine learning and deep learning with mathematical modeling, particularly in areas such as image processing, facial recognition, and optimization, showcasing the growing intersection of mathematics and AI. - Fractional Calculus and Its Applications:
The rise of fractional calculus in mathematical modeling, particularly for complex systems, indicates an emerging trend as researchers explore its implications in various fields, including physics and engineering. - Uncertainty Quantification:
Research focusing on uncertainty analysis and quantification in mathematical models, especially in biological and ecological contexts, is gaining traction, highlighting the importance of robust modeling in uncertain environments. - Geometric and Topological Methods:
Emerging studies on geometric and topological methods, particularly in applications related to medical imaging and data analysis, reflect an increasing interest in these areas within mathematical sciences. - Computational Fluid Dynamics (CFD):
There is a growing emphasis on computational techniques for fluid dynamics, particularly in relation to viscoelastic fluids and complex systems, indicating a trend towards practical applications of mathematical theories in engineering.
Declining or Waning
- Classical Differential Equations:
Research centered on classical differential equations has become less frequent, suggesting a possible shift towards more complex or generalized forms of differential equations in contemporary studies. - Static Mathematical Models:
There appears to be a waning interest in purely static mathematical models, as recent publications increasingly favor dynamic models that incorporate time-dependent variables and interactions. - Basic Statistical Methods:
Basic statistical methods are appearing less frequently in favor of more advanced analytical techniques, such as machine learning and deep learning applications, reflecting a trend towards more sophisticated data analysis.
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