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Communications in Mathematical Sciences
H-index 14

Communications in Mathematical Sciences

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 157 52 82 14

Additional Metrics

Number of Best Scientists*: 68
Documents by Best Scientists*: 95
Top 100 Ranked Scientists*: 1
SCIMAGO H-index: 66
SCIMAGO SJR: 0.821
Impact Factor: 1.3

Overview

Top Research Topics at Communications in Mathematical Sciences?

The topics of Mathematical analysis, Applied mathematics, Statistical physics, Classical mechanics and Nonlinear system are the focal point of discussions in the journal. Compressibility and Stability (probability) are some topics wherein Mathematical analysis research discussed in the journal have an impact. The research on Applied mathematics discussed in Communications in Mathematical Sciences draws on the closely related field of Mathematical optimization.

  • Mathematical analysis (41.02%)
  • Applied mathematics (15.61%)
  • Statistical physics (10.12%)

What are the most cited papers published in the journal?

  • Equation-Free, Coarse-Grained Multiscale Computation: Enabling Mocroscopic Simulators to Perform System-Level Analysis (674 citations)
  • The Heterognous Multiscale Methods (649 citations)
  • Perron-Frobenius theorem for nonnegative tensors (427 citations)

Research areas of the most cited articles at Communications in Mathematical Sciences:

The published articles focus largely on the fields of Mathematical analysis, Applied mathematics, Statistical physics, Nonlinear system and Classical mechanics. The presentations in the journal publications discussing Mathematical analysis offer insights in topics such as Partial differential equation, Euler equations, Schrödinger equation, Boundary value problem and Hyperbolic partial differential equation. The studies on Applied mathematics discussed at the journal articles can also contribute to research in the domains of Conservation law, Mathematical optimization and Ordinary differential equation.

What topics the last edition of the journal is best known for?

  • Quantum mechanics
  • Mathematical analysis
  • Statistics

The previous edition focused in particular on these issues:

Communications in Mathematical Sciences tackles a plethora of topics, such as Mathematical analysis, Applied mathematics, Compressibility, Nonlinear system and Mechanics. The concepts on Mathematical analysis presented in Communications in Mathematical Sciences can also apply to other research fields, including Navier–Stokes equations and Dispersion (optics). Topics in Dispersion (optics) explored in it were investigated in conjunction with research in Stochastic partial differential equation and White noise.

The Applied mathematics works featured in the journal incorporate elements from Initial value problem, Matrix (mathematics), Type (model theory), Constant (mathematics) and Conservation law. The concepts on Compressibility presented in Communications in Mathematical Sciences can also apply to other research fields, including Magnetohydrodynamic drive, Outflow and Liquid crystal. The work on Nonlinear system tackled in Communications in Mathematical Sciences brings together disciplines like Scheme (mathematics) and Pure mathematics.

The most cited articles from the last journal are:

  • Selection and mutation in a shifting and fluctuating environment (6 citations)
  • Proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients (5 citations)
  • Deep fictitious play for stochastic differential games (5 citations)

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 in Mathematical Sciences (based on the number of publications) are:

  • Andrew J. Majda (19 papers) absent at the last edition,
  • Stanley Osher (14 papers) absent at the last edition,
  • Chun Liu (13 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Seung-Yeal Ha (13 papers) published 2 papers at the last edition,
  • Weinan E (12 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 in Mathematical Sciences (based on the number of publications) are:

  • Pennsylvania State University (28 papers) published 3 papers at the last edition, 1 more than at the previous edition,
  • Shanghai Jiao Tong University (26 papers) published 4 papers at the last edition, 1 more than at the previous edition,
  • Tsinghua University (23 papers) published 3 papers at the last edition, 2 more than at the previous edition,
  • University of California, Los Angeles (23 papers) absent at the last edition,
  • University of Texas at Austin (23 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, 2.08% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 18.09% were posted by at least one author from the top 10 institutions publishing in the journal. Another 9.57% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 21.28% of all publications and 51.06% 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

  • A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients

    Arnulf Jentzen;Diyora Salimova;Timo Welti

    (2021)
    143 Citations
  • Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities

    (2022)
    51 Citations
  • Fully Discrete Positivity-Preserving and Energy-Dissipating Schemes for Aggregation-Diffusion Equations with a Gradient Flow Structure

    Rafael Bailo;José A. Carrillo;Jingwei Hu

    (2020)
    43 Citations
  • Entropy admissibility of the limit solution for a nonlocal model of traffic flow

    Alberto Bressan;Wen Shen

    (2021)
    31 Citations
  • Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime

    Youshan Tao;Michael Winkler

    (2021)
    27 Citations
  • Constraint energy minimizing generalized multiscale finite element method for dual continuum model

    Siu Wun Cheung;Eric T. Chung;Yalchin Efendiev;Wing Tat Leung

    (2020)
    24 Citations
  • Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model

    (2021)
    19 Citations
  • Dual quaternion matrices in multi-agent formation control

    (2022)
    17 Citations
  • Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation

    Yuanyuan Feng;Tingran Gao;Lei Li;Jian-Guo Liu

    (2020)
    16 Citations
  • Complexity of randomized algorithms for underdamped Langevin dynamics

    Yu Cao;Jianfeng Lu;Lihan Wang

    (2021)
    16 Citations

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