ADVANCES IN APPLIED MATHEMATICS

Scope & Guideline

Illuminating the Path of Mathematical Discovery

Introduction

Welcome to the ADVANCES IN APPLIED MATHEMATICS information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of ADVANCES IN APPLIED MATHEMATICS, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN0196-8858
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Support Open AccessNo
CountryUnited States
TypeJournal
Convergefrom 1980 to 2024
AbbreviationADV APPL MATH / Adv. Appl. Math.
Frequency10 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
Address525 B ST, STE 1900, SAN DIEGO, CA 92101-4495

Aims and Scopes

ADVANCES IN APPLIED MATHEMATICS focuses on advancing the field through rigorous mathematical research that applies to various disciplines. It encompasses a wide range of topics, methodologies, and applications, bridging theoretical and practical aspects of mathematics.
  1. Combinatorial Mathematics:
    Research in combinatorial structures, including enumeration, pattern avoidance, and bijection techniques that reveal deeper relationships within discrete mathematical objects.
  2. Algebraic Methods:
    Exploration of algebraic structures, such as polynomials, rings, and algebras, with applications to combinatorial problems and optimization.
  3. Graph Theory and Network Analysis:
    Investigation of properties and applications of graphs, including spectral graph theory, connectivity, and graph algorithms.
  4. Statistical and Probabilistic Models:
    Development and application of statistical methods and probabilistic models in various contexts, including random processes and combinatorial probability.
  5. Geometric and Topological Methods:
    Utilization of geometric and topological concepts to solve problems in applied mathematics, including shape analysis and topological data analysis.
  6. Optimization and Algorithmic Techniques:
    Study of optimization problems, including algorithm design and analysis, particularly in combinatorial and geometric contexts.
  7. Mathematical Physics and Applications:
    Interdisciplinary research connecting mathematics with physical theories, focusing on mathematical modeling and analysis of physical phenomena.
  8. Computational Mathematics:
    Emphasis on numerical methods, computational algorithms, and simulations in solving complex mathematical problems.
The journal has witnessed a dynamic evolution of research themes, with several emerging scopes gaining traction. These trends reflect contemporary issues and innovations in applied mathematics, showcasing the journal's responsiveness to new challenges and methodologies.
  1. Data Science and Statistical Learning:
    A significant increase in research related to data analysis, machine learning, and statistical methods indicates a strong trend towards applications in data science.
  2. Complex Networks and Systems:
    Growing interest in the study of complex networks, including social networks, biological networks, and their mathematical modeling, highlighting the interplay between mathematics and real-world systems.
  3. Algebraic Combinatorics:
    Emerging themes in algebraic combinatorics showcase a blend of algebraic techniques with combinatorial structures, reflecting a trend towards interdisciplinary approaches.
  4. Topological Data Analysis:
    The rise of topological data analysis (TDA) as a method for understanding complex datasets is becoming increasingly prominent, emphasizing new mathematical frameworks for data interpretation.
  5. Quantum Mathematics and Information Theory:
    Research connecting quantum theories with mathematical principles is gaining momentum, reflecting the growing importance of quantum computing and information in applied mathematics.
  6. Algorithmic Game Theory:
    Increased focus on game-theoretic approaches within algorithm design and analysis indicates a trend towards integrating economic and strategic considerations into mathematical research.

Declining or Waning

While ADVANCES IN APPLIED MATHEMATICS continues to thrive in various areas, some themes have shown a decline in focus over recent years. These waning scopes highlight shifts in research priorities and the evolving landscape of applied mathematics.
  1. Classical Analysis Techniques:
    Traditional methods of analysis, such as certain classical convergence theorems and limit processes, appear to be less emphasized, possibly due to the rise of more computational and probabilistic approaches.
  2. Elementary Number Theory:
    Research specifically focused on basic number theory concepts seems to be diminishing, as more complex and applied number-theoretic topics gain prominence.
  3. Purely Theoretical Mathematics:
    There is a noticeable shift away from purely theoretical explorations that do not have immediate applications or connections to other fields, reflecting a growing interest in interdisciplinary research.
  4. Fixed-Point Theorems:
    While still relevant, the frequency of publications centered on fixed-point theorems and their applications appears to be decreasing, possibly due to the emergence of more dynamic systems approaches.

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