Proceedings of the Institute of Mathematics and Mechanics

Scope & Guideline

Exploring New Dimensions in Mathematics and Mechanics

Introduction

Welcome to your portal for understanding Proceedings of the Institute of Mathematics and Mechanics, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN2409-4986
PublisherINST MATHEMATICS & MECHANICS, NATL ACAD SCIENCES AZERBAIJAN
Support Open AccessNo
CountryAzerbaijan
TypeJournal
Convergefrom 2017 to 2024
AbbreviationPROC INST MATH MECH / Proc. Inst. Math. Mech.
Frequency2 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
Address9 B VAHABZADEH STR, AZ1141, BAKU 00000, AZERBAIJAN

Aims and Scopes

The "Proceedings of the Institute of Mathematics and Mechanics" is dedicated to advancing mathematical knowledge through innovative research across various mathematical disciplines. The journal emphasizes rigorous methodologies and applications in mathematics, mechanics, and interdisciplinary areas.
  1. Mathematical Analysis and Differential Equations:
    The journal focuses on the study of both ordinary and partial differential equations, including their boundary value problems, stability analysis, and asymptotic behaviors, which are crucial for understanding dynamic systems.
  2. Numerical Methods and Algorithms:
    Significant attention is given to the development and analysis of numerical methods for solving complex mathematical problems, including collocation methods, finite element methods, and approximation techniques.
  3. Control Theory and Optimization:
    Research in control theory, particularly related to differential inclusions and optimal control problems, is a core area, reflecting the journal's commitment to applied mathematics in engineering and physical sciences.
  4. Fractional Calculus and Nonlinear Dynamics:
    The journal explores the applications of fractional calculus in various contexts, including biological models and stochastic processes, contributing to the understanding of non-local phenomena.
  5. Functional Analysis and Operator Theory:
    Papers on operator theory, including spectral theory and the study of various function spaces, are prevalent, indicating a strong mathematical foundation in functional analysis.
  6. Geometric and Algebraic Methods:
    The journal includes research on geometric structures, such as Sasakian metrics and manifold theory, showcasing the interplay between geometry and analysis.
  7. Mathematical Modeling and Simulation:
    The journal encourages research that involves mathematical modeling of real-world phenomena, including population dynamics and physical processes, thereby bridging pure and applied mathematics.
The journal has observed significant growth in several emerging themes, reflecting current trends in mathematics and its applications. These trends indicate a dynamic evolution in research interests among its contributors.
  1. Fractional Differential Equations:
    An increasing number of papers focus on fractional calculus, particularly in modeling phenomena that exhibit memory and non-locality, which is becoming increasingly relevant in various scientific fields.
  2. Neural Networks and Machine Learning:
    Research integrating neural networks and machine learning techniques with traditional mathematical problems is on the rise, reflecting the growing intersection of mathematics with artificial intelligence.
  3. Nonlinear Dynamics and Chaos Theory:
    There is a notable increase in studies related to nonlinear dynamics and chaos theory, indicating a growing interest in understanding complex systems and their behaviors.
  4. Mathematical Biology and Epidemiology:
    The journal is publishing more papers that apply mathematical modeling to biological and epidemiological problems, particularly in light of recent global health challenges.
  5. Optimization in Complex Systems:
    Emerging themes in optimization, particularly in systems governed by partial differential equations and boundary value problems, highlight the journal's focus on practical applications in engineering and technology.

Declining or Waning

While the journal has consistently published high-quality research, certain themes appear to be declining in prominence over recent years. This shift may reflect evolving interests within the mathematical community.
  1. Classical Mathematical Models:
    There has been a noticeable decline in papers focusing on classical mathematical models that do not incorporate modern computational techniques or interdisciplinary applications, reflecting a shift towards more innovative approaches.
  2. Elementary Number Theory:
    Research in elementary number theory seems to be less prevalent, indicating a potential waning interest in purely theoretical explorations without application to broader mathematical or scientific contexts.
  3. Static Systems in Mechanics:
    The journal has seen fewer contributions related to static mechanical systems, suggesting a trend towards dynamic systems and time-dependent analyses that are more relevant to current research challenges.
  4. Traditional Approximation Theory:
    While approximation theory remains important, traditional methods without modern advancements or applications in machine learning and data science appear to be less frequently published.

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