Applied and Computational Mathematics
Scope & Guideline
Pioneering Research for Tomorrow's Mathematical Challenges
Introduction
Aims and Scopes
- Optimization Techniques:
The journal extensively covers optimization methods including linear, nonlinear, and dynamic optimization, emphasizing algorithms that solve complex mathematical problems in various contexts. - Control Theory and Systems:
There is a strong emphasis on control theory, particularly in the design of controllers for systems with delays, stochastic control, and game theory applications. - Stochastic Processes and Modeling:
Research related to stochastic models, including Markov decision processes and games, is a consistent focus, reflecting the journal's commitment to addressing uncertainty in mathematical modeling. - Numerical Analysis and Computational Methods:
The journal publishes studies on numerical techniques and algorithms for solving differential equations, optimization problems, and other mathematical models, highlighting advancements in computational mathematics. - Mathematical Modeling in Applied Sciences:
The journal features research that develops mathematical models to describe phenomena in various fields such as physics, engineering, biology, and economics, showcasing the practical application of mathematical theories. - Interdisciplinary Applications:
There is a notable integration of mathematics with fields such as artificial intelligence, healthcare, and environmental science, reflecting the journal's aim to bridge theoretical mathematics with real-world applications.
Trending and Emerging
- Artificial Intelligence and Machine Learning:
There is a growing trend towards the application of AI and machine learning techniques in mathematical modeling and problem-solving, particularly in fields like healthcare and environmental science. - Fractional Calculus and Nonlinear Dynamics:
Research on fractional calculus and its applications in modeling complex systems has gained momentum, reflecting an increased interest in advanced mathematical methods for dynamic systems. - Epidemiological Modeling:
The COVID-19 pandemic has sparked a surge in publications focusing on mathematical modeling of infectious diseases, highlighting the relevance of mathematics in public health and epidemiology. - Game Theory and Decision Processes:
Emerging themes in game theory, particularly in the context of decision-making under uncertainty and team optimization, indicate a growing interest in strategic interactions and their mathematical formulations. - Numerical Solutions for Complex Systems:
There is an increasing focus on developing numerical methods for solving complex systems of equations, including those arising in fluid dynamics and engineering, showcasing advancements in computational techniques.
Declining or Waning
- Traditional Theoretical Mathematics:
There appears to be a decreasing emphasis on purely theoretical mathematics, with fewer publications focused solely on abstract mathematical concepts without practical applications. - Static Mathematical Models:
Research involving static or non-dynamic models has become less frequent, indicating a shift towards dynamic and adaptive models that account for changing conditions in real-world applications. - Basic Statistical Methods:
Publications focusing on fundamental statistical techniques, as opposed to advanced or applied statistical modeling, have declined, reflecting a trend towards more complex statistical applications.
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