COMPUTATIONAL & APPLIED MATHEMATICS
Scope & Guideline
Exploring the Intersection of Theory and Application
Introduction
Aims and Scopes
- Numerical Methods and Algorithms:
The journal emphasizes the development and refinement of numerical methods for solving complex mathematical problems, including finite element methods, spectral methods, and iterative algorithms. - Mathematical Modeling:
A core focus of the journal is on mathematical modeling of real-world phenomena across various fields such as physics, biology, and engineering, providing insights into dynamical systems and processes. - Fractional Calculus and Differential Equations:
The journal publishes research on fractional calculus, including fractional differential equations and their applications, which are increasingly relevant in modeling processes with memory effects. - Optimization Techniques:
Research on optimization methods, particularly in the context of variational inequalities, convex programming, and multi-objective optimization, is a significant area of focus. - Graph Theory and Combinatorial Mathematics:
The journal features studies involving graph theory, combinatorial optimization, and their applications in various scientific and engineering problems. - Fuzzy Logic and Decision Making:
The journal includes research on fuzzy logic, fuzzy sets, and their applications in decision-making processes, particularly in uncertain environments.
Trending and Emerging
- Machine Learning and Data Science Applications:
An increasing number of publications focus on integrating machine learning techniques with traditional mathematical models to address complex data-driven problems across various domains. - Fractional Differential Equations:
Research on fractional differential equations is surging, highlighting their applicability in modeling phenomena with memory and non-local effects, reflecting a growing interest in fractional calculus. - Multi-criteria Decision Making (MCDM):
There is a notable rise in studies related to MCDM methods, particularly those incorporating fuzzy and interval-valued approaches, reflecting the need for robust decision-making frameworks in uncertain environments. - Numerical Solutions for PDEs:
The development of advanced numerical methods for solving partial differential equations (PDEs), especially in complex geometries and with non-standard boundary conditions, is increasingly prevalent. - Optimization in Stochastic Environments:
Research on optimization techniques under uncertainty, including stochastic programming and robust optimization, is gaining prominence as industries face more unpredictable conditions.
Declining or Waning
- Classical Numerical Analysis:
There is a noticeable decrease in classical numerical analysis topics, such as basic numerical linear algebra, as more sophisticated methods and applications dominate the current research landscape. - Traditional Graph Algorithms:
The publication of articles focused on traditional graph algorithms has declined, possibly due to the emergence of more complex applications and interdisciplinary approaches. - Basic Statistical Methods:
Research centered around fundamental statistical methods appears to be waning as the field moves towards more advanced statistical modeling and machine learning techniques. - Static Mathematical Models:
There has been a reduction in studies on static mathematical models, with a shift towards dynamic, time-dependent models that better capture real-world complexities.
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