World's Best Scientists 2026 revealed!
Communications on Pure and Applied Analysis
H-index 14

Communications on Pure and Applied Analysis

1534-0392

Published by: American Institute of Mathematical Sciences

https://www.aimsciences.org/journal/1534-0392

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 167 85 115 13

Additional Metrics

Number of Best Scientists*: 100
Documents by Best Scientists*: 129
Top 100 Ranked Scientists*: 5
SCIMAGO H-index: 50
SCIMAGO SJR: 0.806
Impact Factor: 0.9

Overview

Top Research Topics at Communications on Pure and Applied Analysis?

The journal is organized to address concerns in the fields of Mathematical analysis, Combinatorics, Nonlinear system, Pure mathematics and Mathematical physics. Mathematical analysis study tackled is connected to the field of Boundary (topology). The studies on Combinatorics discussed can also contribute to research in the domains of Nabla symbol, Omega, Domain (ring theory), Lambda and Laplace operator.

It explores issues in Nonlinear system which can be linked to other research areas like Attractor and Applied mathematics. Pure mathematics research discussed connects with the study of Type (model theory). The studies in Mathematical physics featured incorporate elements of Nonlinear Schrödinger equation and Schrödinger equation.

Studies on Bounded function discussed in Communications on Pure and Applied Analysis link to the field of Domain (mathematical analysis).

  • Mathematical analysis (45.01%)
  • Combinatorics (16.83%)
  • Nonlinear system (16.25%)

What are the most cited papers published in the journal?

  • A general multipurpose interpolation procedure: the magic points (199 citations)
  • A Brezis-Nirenberg result for non-local critical equations in low dimension (181 citations)
  • On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions (128 citations)

Research areas of the most cited articles at Communications on Pure and Applied Analysis:

The published articles mainly tackle studies in Mathematical analysis, Pure mathematics, Nonlinear system, Bounded function and Boundary value problem. The published articles focus on Mathematical analysis research which is adjacent to topics in Type (model theory). Issues in Nonlinear system were discussed in the most cited papers, taking into consideration concepts from other disciplines like Mathematical physics, Partial differential equation and Schrödinger equation.

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Communications on Pure and Applied Analysis (based on the number of publications) are:

  • Nikolaos S. Papageorgiou (25 papers) absent at the last edition,
  • Sergey Zelik (12 papers) published 1 paper at the last edition,
  • Robert S. Strichartz (10 papers) published 1 paper at the last edition, 2 less than at the previous edition,
  • Vittorino Pata (10 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Julio D. Rossi (10 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Communications on Pure and Applied Analysis (based on the number of publications) are:

  • Memorial University of Newfoundland (5 papers) absent at the last edition,
  • Institut Élie Cartan de Lorraine (5 papers) absent at the last edition,
  • Osaka University (5 papers) absent at the last edition,
  • National Taiwan University (4 papers) absent at the last edition,
  • University of Seville (4 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 98.65% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 0.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 0.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 33.33% of all publications and 66.67% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation

    (2021)
    36 Citations
  • Real-variable characterizations of new anisotropic mixed-norm Hardy spaces

    Long Huang;Jun Liu;Dachun Yang;Wen Yuan

    (2020)
    33 Citations
  • Controllability of the one-dimensional fractional heat equation under positivity constraints

    Umberto Biccari;Mahamadi Warma;Enrique Zuazua

    (2020)
    26 Citations
  • On a delayed epidemic model with non-instantaneous impulses

    Liang Bai;Juan J. Nieto;José M. Uzal

    (2020)
    25 Citations
  • Nonclassical diffusion with memory lacking instantaneous damping

    Monica Conti;Filippo Dell'Oro;Vittorino Pata

    (2020)
    24 Citations
  • The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries

    Meng Zhao;Wantong Li;Yihong Du

    (2020)
    22 Citations
  • Function approximation by deep networks

    H. N. Mhaskar;Tomaso A. Poggio

    (2020)
    22 Citations
  • Uniqueness and stability of time-periodic pyramidal fronts for a periodic competition-diffusion system

    Xiongxiong Bao;Wan-Tong Li;Zhi-Cheng Wang

    (2020)
    18 Citations
  • Spatial dynamic analysis for COVID-19 epidemic model with diffusion and Beddington-DeAngelis type incidence

    (2021)
    17 Citations
  • A stochastic threshold for an epidemic model with isolation and a non linear incidence

    Tomás Caraballo;Mohamed El Fatini;Idriss Sekkak;Regragui Taki

    (2020)
    17 Citations

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to various interdisciplinary career pathways, often complemented by online degree programs. For students interested in leadership roles or business analytics, pursuing an mba under 30k can be a cost-effective way to gain essential management skills without excessive debt.

Mathematics graduates aiming to enter the digital marketing realm might find it beneficial to explore an online degree social media marketing. This program leverages analytical and strategic thinking, skills well-honed through a math background.

For those interested in the service industry, the hospitality sector offers exciting prospects. Earning a degree through online colleges for hospitality management provides flexible, accelerated pathways to gain industry-specific knowledge paired with strong quantitative skills.

Additionally, programs like the online mba no gmat are increasingly accessible for professionals seeking advanced business education without the barrier of standardized testing.

These diverse options demonstrate how a foundation in mathematics can be strategically combined with other fields to enhance career opportunities in the evolving job market.

Best Scientists Contributing to This Journal

Recently Published Articles