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Journal of Numerical Mathematics
H-index 10

Journal of Numerical Mathematics

1570-2820

Published by: Walter de Gruyter

https://www.degruyter.com/journal/key/JNMA/html

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 305 28 29 9

Additional Metrics

Number of Best Scientists*: 31
Documents by Best Scientists*: 34
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 35
SCIMAGO SJR: 1.638
Impact Factor: 4

Overview

Top Research Topics at Journal of Numerical Mathematics?

Mathematical analysis, Applied mathematics, Finite element method, Mixed finite element method and Discretization are among the topics commonly tackled in Journal of Numerical Mathematics. Journal of Numerical Mathematics addresses concerns in Mathematical analysis which are intertwined with other disciplines, such as Type (model theory), Domain decomposition methods and Discontinuous Galerkin method. More specifically, the research on Domain decomposition methods in the journal is related to Schwarz alternating method.

Studies on Discontinuous Galerkin method discussed in the journal link to the field of Galerkin method. Some problems in Applied mathematics that were presented in Journal of Numerical Mathematics overlapped with concepts under Partial differential equation, Mathematical optimization, Nonlinear system, Rate of convergence and Calculus. While it focused on Finite element method, it was also able to explore topics like Variational inequality, Numerical analysis and Polygon mesh.

The in-depth study on Mixed finite element method also explores topics in the intersecting field of Extended finite element method. Discussions in Journal of Numerical Mathematics are anchored in the subject of Extended finite element method and the similar topic of Boundary knot method.

  • Mathematical analysis (42.33%)
  • Applied mathematics (39.88%)
  • Finite element method (33.13%)

What are the most cited papers published in the journal?

  • New development in freefem (1909 citations)
  • A feed-back approach to error control in finite element methods: Basic analysis and examples (364 citations)
  • The deal.II library, Version 8.4 (160 citations)

Research areas of the most cited articles at Journal of Numerical Mathematics:

Finite element method, Applied mathematics, Mathematical analysis, Mixed finite element method and Software are the main subjects of interest in the most cited articles. Issues in Finite element method were discussed in the published papers, taking into consideration concepts from other disciplines like Finite difference and Error detection and correction. In addition to Applied mathematics research, the most cited publications aim to explore topics under Discretization, Partial differential equation and Mathematical optimization.

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

  • Mathematical analysis
  • Algebra
  • Partial differential equation

The previous edition focused in particular on these issues:

The discussions in Journal of Numerical Mathematics mainly cover the fields of Finite element method, Mathematical analysis, Applied mathematics, Degenerate energy levels and Two-phase flow. Topics in Finite element method were tackled in line with various other fields like Discretization, Partial differential equation, Elliptic operator and Inverse. The Discretization works featured in the journal incorporate elements from Trace (linear algebra), Tetrahedron, Surface (mathematics) and Unit sphere.

The journal explores topics in Mathematical analysis which can be helpful for research in disciplines like Bernoulli's principle, Vorticity and Oseen equations. Topics in Applied mathematics explored in it were investigated in conjunction with research in Schwarz–Christoffel mapping, Conformal map, Iterative method, Elliptic partial differential equation and Cuboid. The journal tackles research works in Degenerate energy levels as well as Well posedness.

The most cited articles from the last journal are:

  • Error analysis of higher order trace finite element methods for the surface Stokes equations (7 citations)
  • A Reduced Basis Method For Fractional Diffusion Operators II (6 citations)
  • The deal.II Library, Version 9.3 (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 Journal of Numerical Mathematics (based on the number of publications) are:

  • Ronald H. W. Hoppe (14 papers) absent at the last edition,
  • Matthias Maier (7 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Wolfgang Bangerth (7 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Bruno Turcksin (7 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Béatrice Rivière (7 papers) published 2 papers at the last edition, 1 more than at the previous 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 Journal of Numerical Mathematics (based on the number of publications) are:

  • Clemson University (7 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Max Planck Society (6 papers) absent at the last edition,
  • Technische Universität München (6 papers) published 1 paper at the last edition the same number as at the previous edition,
  • University of Houston (5 papers) published 3 papers at the last edition,
  • Texas A&M University (5 papers) published 1 paper at the last edition, 1 less than 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, 10.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 44.44% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.11% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 11.11% of all publications and 33.33% 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

  • Overcoming the curse of dimensionality in the numerical approximation of Allen–Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations

    Christian Beck;Fabian Hornung;Fabian Hornung;Martin Hutzenthaler;Arnulf Jentzen;Arnulf Jentzen

    (2020)
    46 Citations
  • POD-Galerkin Model Order Reduction for Parametrized Nonlinear Time Dependent Optimal Flow Control: an Application to Shallow Water Equations

    Maria Strazzullo;Francesco Ballarin;Francesco Ballarin;Gianluigi Rozza

    (2021)
    24 Citations
  • Error analysis of higher order trace finite element methods for the surface Stokes equation

    Thomas Jankuhn;Maxim A. Olshanskii;Arnold Reusken;Alexander Zhiliakov

    (2021)
    22 Citations
  • Doubly-adaptive artificial compression methods for incompressible flow

    William J. Layton;Michael McLaughlin

    (2020)
    20 Citations
  • A Reduced Basis Method For Fractional Diffusion Operators II

    Tobias Danczul;Joachim Schöberl

    (2021)
    17 Citations
  • A C0-conforming DG finite element method for biharmonic equations on triangle/tetrahedron

    (2021)
    16 Citations
  • Adaptive space-time finite element methods for parabolic optimal control problems

    Ulrich Langer;Andreas Schafelner

    (2021)
    13 Citations
  • A finite element method for degenerate two-phase flow in porous media. Part I: Well-posedness

    Vivette Girault;Beatrice Riviere;Loic Cappanera

    (2021)
    10 Citations
  • Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems

    Gabriel N. Gatica;Salim Meddahi

    (2020)
    10 Citations
  • New non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spaces

    (2023)
    9 Citations

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Best Scientists Contributing to This Journal