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Mathematics of Computation
H-index 20

Mathematics of Computation

0025-5718

Published by: American Mathematical Society

https://www.ams.org/publications/journals/journalsframework/mcom

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 68 120 144 20

Additional Metrics

Number of Best Scientists*: 132
Documents by Best Scientists*: 151
Top 100 Ranked Scientists*: 4
SCIMAGO H-index: 115
SCIMAGO SJR: 1.845
Impact Factor: 2.1

Overview

Top Research Topics at Mathematics of Computation?

The journal focuses largely on the fields of Mathematical analysis, Combinatorics, Applied mathematics, Discrete mathematics and Pure mathematics. It investigates Mathematical analysis research which frequently intersects with Finite element method. Finite element method research is the primary subject tackled in it with a focus on Mixed finite element method.

Mixed finite element method research discussed connects with the study of Extended finite element method. Mathematics of Computation focused on Combinatorics research but expanded to cover Polynomial. The research on Applied mathematics tackled can also make contributions to studies in the areas of Convergence (routing) and Mathematical optimization.

The study on Pure mathematics presented in Mathematics of Computation intersects with the topics under Algebra.

  • Mathematical analysis (32.12%)
  • Combinatorics (18.37%)
  • Applied mathematics (16.27%)

What are the most cited papers published in the journal?

  • An algorithm for the machine calculation of complex Fourier series (9289 citations)
  • Table of Integrals, Series, and Products (4638 citations)
  • Elliptic curve cryptosystems (4214 citations)

Research areas of the most cited articles at Mathematics of Computation:

The journal publications primarily focus on research topics in Mathematical analysis, Applied mathematics, Finite element method, Numerical analysis and Partial differential equation. The works on Mathematical analysis tackled in the published papers bring together disciplines like Galerkin method and Nonlinear system. Issues in Applied mathematics were discussed in the most cited papers, taking into consideration concepts from other disciplines like Mathematical optimization and A priori and a posteriori.

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

  • Mathematical analysis
  • Quantum mechanics
  • Statistics

The previous edition focused in particular on these issues:

The journal primarily focuses on research topics in Applied mathematics, Pure mathematics, Combinatorics, Convergence (routing) and Mathematical analysis. Applied mathematics research featured in Mathematics of Computation incorporates concerns from various other topics such as Scheme (mathematics), Finite difference, Finite element method, Nonlinear system and Discretization. While work presented in it provided substantial information on Finite element method, it also covered topics in Space (mathematics), Courant–Friedrichs–Lewy condition and Hyperbolic systems.

Mathematics of Computation focuses on Combinatorics but the discussions also offer insight into other areas such as Point (geometry), Upper and lower bounds and Dirichlet distribution. The Convergence (routing) works featured in Mathematics of Computation incorporate elements from Asymptotic expansion, Boundary value problem and Stability (probability). The presented Mathematical analysis research focuses mostly on Boundary (topology) and, on occasion, topics in Helmholtz decomposition and Numerical analysis.

The most cited articles from the last journal are:

  • A unified framework of SAGE and SONC polynomials and its duality theory (12 citations)
  • Inf-sup stability of the trace ₂–₁ Taylor–Hood elements for surface PDEs (12 citations)
  • A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system (9 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 Mathematics of Computation (based on the number of publications) are:

  • Henry E. Fettis (68 papers) absent at the last edition,
  • Daniel Shanks (49 papers) absent at the last edition,
  • Hugh C. Williams (45 papers) absent at the last edition,
  • James H. Bramble (43 papers) absent at the last edition,
  • Bernardo Cockburn (39 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 Mathematics of Computation (based on the number of publications) are:

  • University of Minnesota (69 papers) published 1 paper at the last edition,
  • Texas A&M University (67 papers) published 3 papers at the last edition, 1 more than at the previous edition,
  • Chinese Academy of Sciences (52 papers) published 1 paper at the last edition the same number as at the previous edition,
  • University of New South Wales (51 papers) published 3 papers at the last edition the same number as at the previous edition,
  • Pennsylvania State University (46 papers) published 1 paper at the last edition the same number as at the previous 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, 3.45% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 15.48% were posted by at least one author from the top 10 institutions publishing in the journal. Another 9.52% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 14.29% of all publications and 60.71% 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

  • Deep backward schemes for high-dimensional nonlinear PDEs

    Côme Huré;Huyên Pham;Xavier Warin

    (2020)
    213 Citations
  • Analysis of adaptive BDF2 scheme for diffusion equations

    Hong-lin Liao;Zhimin Zhang

    (2020)
    114 Citations
  • New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis

    Xiaoli Li;Jie Shen;Zhengguang Liu

    (2021)
    63 Citations
  • A Positivity-Preserving, Energy Stable And Convergent Numerical Scheme For The Poisson-Nernst-Planck System

    Chun Liu;Cheng Wang;Steven M. Wise;Xingye Yue

    (2021)
    62 Citations
  • Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation

    Xiao Li;Zhonghua Qiao;Cheng Wang

    (2020)
    54 Citations
  • Exact smooth piecewise polynomial sequences on Alfeld splits

    Guosheng Fu;Johnny Guzmán;Michael Neilan

    (2020)
    52 Citations
  • Dörfler marking with minimal cardinality is a linear complexity problem

    Carl-Martin Pfeiler;Dirk Praetorius

    (2020)
    40 Citations
  • A Deep Learning approach to Reduced Order Modelling of Parameter Dependent Partial Differential Equations

    (2021)
    36 Citations
  • Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation

    (2021)
    31 Citations

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Best Scientists Contributing to This Journal