TWMS Journal of Applied and Engineering Mathematics
Scope & Guideline
Exploring Practical Solutions in Applied Mathematics
Introduction
Aims and Scopes
- Applied Mathematical Modeling:
The journal emphasizes the development and application of mathematical models to solve real-world problems, particularly in engineering, environmental science, and technology. - Numerical Methods and Computational Techniques:
A key area of focus is the exploration of numerical methods for solving complex mathematical problems, including differential equations, optimization problems, and stochastic models. - Graph Theory and Network Analysis:
Research related to graph theory, including domination numbers, labeling, and network optimization, is prevalent, highlighting the importance of discrete mathematics in understanding complex systems. - Fractional Calculus and Differential Equations:
The journal often publishes articles on fractional calculus and its applications, reflecting a growing interest in non-integer order derivatives and their implications in various fields. - Fuzzy Logic and Soft Computing:
Research involving fuzzy sets, soft computing techniques, and their applications in decision-making processes is a significant theme, showcasing the journal's commitment to integrating advanced computational methods. - Statistical Analysis and Probability:
The inclusion of statistical methods and probability theory in various studies indicates a focus on data-driven approaches and the importance of statistical rigor in applied mathematics.
Trending and Emerging
- Machine Learning and Data Science Applications:
An increasing number of papers are exploring the intersection of mathematics with machine learning and data science, emphasizing the application of mathematical models to analyze and interpret large datasets. - Advanced Stochastic Processes:
Research in stochastic processes, particularly in modeling uncertainty and randomness in systems, has gained traction, reflecting a broader trend towards incorporating probabilistic methods in applied mathematics. - Fractional Differential Equations:
The growing interest in fractional calculus and its applications in modeling complex systems has been a key emerging theme, highlighting the need for advanced mathematical techniques in contemporary research. - Multi-Criteria Decision Making:
There is a notable increase in studies addressing multi-criteria decision-making problems, particularly those utilizing fuzzy logic and soft computing methods, which are becoming essential in various fields including operations research and resource management. - Environmental and Ecological Modeling:
Research focusing on the mathematical modeling of ecological systems and environmental issues, such as pollution dynamics and resource management, has increased, reflecting a growing awareness of sustainability and ecological balance.
Declining or Waning
- Classical Analysis:
There has been a noticeable decrease in publications centered around classical mathematical analysis, such as traditional calculus and its applications, as researchers increasingly turn to more advanced or applied mathematical frameworks. - Elementary Algebraic Structures:
Research focusing on basic algebraic structures and their properties appears to be waning, with a shift towards more complex and abstract algebraic concepts that have direct applications in engineering and technology. - Static Mathematical Models:
The frequency of studies featuring static models—those not accounting for dynamic changes over time—has declined, as the trend moves towards dynamic modeling that incorporates time-dependent variables and real-time data. - Deterministic Models:
There is a growing preference for stochastic models over deterministic approaches in various applications, particularly in fields such as epidemiology and finance, leading to a decrease in the latter's representation in the journal.
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