Demonstratio Mathematica

Scope & Guideline

Empowering Innovation in Mathematical Research

Introduction

Welcome to the Demonstratio Mathematica 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 Demonstratio Mathematica, 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
ISSN0420-1213
PublisherDE GRUYTER POLAND SP Z O O
Support Open AccessYes
CountryPoland
TypeJournal
Convergefrom 1996 to 2024
AbbreviationDEMONSTR MATH / Demonstr. Math.
Frequency1 issue/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressBOGUMILA ZUGA 32A STR, 01-811 WARSAW, MAZOVIA, POLAND

Aims and Scopes

Demonstratio Mathematica focuses on advanced mathematical theories, methodologies, and applications across various domains, emphasizing both pure and applied mathematics. The journal aims to provide a platform for disseminating significant findings that contribute to the broader understanding of mathematical concepts and their practical implications.
  1. Fractional Calculus and Differential Equations:
    The journal extensively covers topics related to fractional calculus, exploring its applications in differential equations, stability theory, and boundary value problems.
  2. Numerical Methods and Algorithms:
    Research on innovative numerical methods, including finite difference methods, iterative algorithms, and approximation techniques for solving complex mathematical models, is a core focus.
  3. Functional and Operator Theory:
    Papers often delve into the properties of various operators, including bounded linear operators, and explore their applications in functional analysis and operator theory.
  4. Fixed Point Theory and Its Applications:
    The journal features studies on fixed point theorems, including new results and generalizations in metric spaces, with applications in various mathematical problems.
  5. Mathematical Modeling and Control Theory:
    There is a significant emphasis on mathematical modeling of real-world phenomena, particularly in control theory, dynamical systems, and epidemiological models.
  6. Topology and Geometry:
    Research addressing topological spaces, geometric properties, and their applications in various mathematical contexts is frequently published.
The journal has witnessed emerging themes that reflect the evolving landscape of mathematical research. This section identifies the recent topics gaining traction in the journal's publications, indicating a shift towards new methodologies and applications.
  1. Fractional Differential Equations:
    There is a growing trend in the exploration of fractional differential equations, reflecting their increasing relevance in modeling complex dynamic systems across various fields.
  2. Machine Learning and Data Analysis:
    Recent publications indicate a rising interest in the intersection of mathematics with machine learning and data analysis, showcasing innovative applications of mathematical theories in computational contexts.
  3. Stability Analysis of Dynamical Systems:
    An increasing number of papers are dedicated to the stability analysis of various dynamical systems, indicating a trend towards understanding long-term behaviors and solution properties.
  4. Applications of Topological Methods:
    Emerging research is highlighting the applications of topological methods in various mathematical problems, emphasizing the relevance of topology in contemporary mathematical research.
  5. Complex and Hybrid Systems:
    There is a notable trend towards studying complex and hybrid systems, particularly in the context of mathematical modeling and control, reflecting a shift towards interdisciplinary approaches in mathematical research.

Declining or Waning

While the journal covers a broad spectrum of mathematics, certain themes have shown a decline in prominence over recent years. This section highlights those areas that are becoming less frequent in the journal's publications.
  1. Classical Analysis Techniques:
    Papers focusing on traditional methods of classical analysis, such as elementary techniques in calculus or basic function theory, appear to be less common as the journal shifts towards more advanced and specialized topics.
  2. Elementary Algebraic Structures:
    Research concerning basic algebraic structures, such as simple groups or elementary number theory, seems to be waning, with a noticeable move towards more complex algebraic frameworks and applications.
  3. Basic Probability Theory:
    There is a noticeable decline in papers dedicated to fundamental concepts in probability theory, with fewer contributions focusing solely on classical probabilistic models.

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