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Advances in Computational Mathematics
H-index 15

Advances in Computational Mathematics

1019-7168

Published by: Springer

https://www.springer.com/journal/10444

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 147 87 116 14
Computer Science 856 9 10 5

Additional Metrics

Number of Best Scientists*: 108
Documents by Best Scientists*: 132
Top 100 Ranked Scientists*: 5
SCIMAGO H-index: 69
SCIMAGO SJR: 0.935
Impact Factor: 2.1

Overview

Top Research Topics at Advances in Computational Mathematics?

The journal is mainly concerned with subjects like Mathematical analysis, Applied mathematics, Computational Science and Engineering, Discrete mathematics and Finite element method. The work on Mathematical analysis addressed in the journal expands to the thematically related Pure mathematics. In addition to Applied mathematics research, the journal aims to explore topics under Numerical analysis, Mathematical optimization and Nonlinear system.

Studies in Computational Science and Engineering were the highlight in Advances in Computational Mathematics but it also discussed other topics like Visualization and Combinatorics. Most of the Visualization studies addressed also intersect with Algorithm. The journal is focused mainly on Finite element method, particularly Mixed finite element method.

Advances in Computational Mathematics features Mixed finite element method research that overlaps with concepts in Extended finite element method. Spline interpolation is a major topic of Interpolation research.

  • Mathematical analysis (43.44%)
  • Applied mathematics (24.98%)
  • Computational Science and Engineering (20.65%)

What are the most cited papers published in the journal?

  • On the Lambert W function (4650 citations)
  • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree (1887 citations)
  • Regularization Networks and Support Vector Machines (1121 citations)

Research areas of the most cited articles at Advances in Computational Mathematics:

The main points discussed in the most cited articles deal with Mathematical analysis, Applied mathematics, Discrete mathematics, Computational Science and Engineering and Finite element method. The journal papers hold forums on Mathematical analysis that merge themes from other disciplines such as Wavelet, Pure mathematics and Radial basis function. The journal articles address concerns in the field of Applied mathematics by exploring it in line with topics in Mathematical optimization which intersect with Total variation denoising subjects.

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

  • Mathematical analysis
  • Algebra
  • Geometry

The previous edition focused in particular on these issues:

The journal mostly deals with topics like Applied mathematics, Computational Science and Engineering, Discretization, Finite element method and Space (mathematics). The journal focuses on Applied mathematics but the discussions also offer insight into other areas such as Numerical analysis, Eigenvalues and eigenvectors, Stability (probability) and Nonlinear system. The journal aims to bridge the gap between the study of Computational Science and Engineering and disciplines such as Visualization, Mathematical analysis and Algorithm.

Topics in Discretization explored in it were investigated in conjunction with research in Basis (linear algebra), Derivative, Backward differentiation formula and Robustness (computer science). While Finite element method is the focus of it, it also provided insights into the studies of Strongly monotone, Partial differential equation and Boundary value problem. The overlapping concepts between Spline (mathematics) and Dimension (vector space) and Pure mathematics are the key highlights of Space (mathematics) study.

The most cited articles from the last journal are:

  • Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs (11 citations)
  • Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements (6 citations)
  • Learning via variably scaled kernels. (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 Advances in Computational Mathematics (based on the number of publications) are:

  • Yuesheng Xu (20 papers) absent at the last edition,
  • Robert Schaback (14 papers) absent at the last edition,
  • Juan Manuel Peña (13 papers) absent at the last edition,
  • Charles A. Micchelli (13 papers) absent at the last edition,
  • Rida T. Farouki (13 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 Advances in Computational Mathematics (based on the number of publications) are:

  • Chinese Academy of Sciences (49 papers) absent at the last edition,
  • University of Zaragoza (31 papers) absent at the last edition,
  • Texas A&M University (24 papers) absent at the last edition,
  • University of Vienna (23 papers) published 5 papers at the last edition, 2 more than at the previous edition,
  • University of Göttingen (22 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, 11.25% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 11.27% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.27% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 18.31% of all publications and 59.15% 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

  • Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations

    (2021)
    165 Citations
  • Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation

    Xiaoli Li;Jie Shen

    (2020)
    70 Citations
  • The role of mesh quality and mesh quality indicators in the virtual element method

    (2021)
    32 Citations
  • The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation

    Xuping Wang;Qifeng Zhang;Qifeng Zhang;Zhi-zhong Sun

    (2021)
    31 Citations
  • Optimal H 1 spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation.

    Chaobao Huang;Martin Stynes

    (2020)
    28 Citations
  • Virtual element methods for the three-field formulation of time-dependent linear poroelasticity

    Raimund Bürger;Sarvesh Kumar;David Mora;David Mora;Ricardo Ruiz-Baier

    (2021)
    26 Citations
  • Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method

    Moreno Pintore;Federico Pichi;Martin W. Hess;Gianluigi Rozza

    (2021)
    25 Citations
  • A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation

    (2022)
    23 Citations
  • Least-Squares Padé approximation of parametric and stochastic Helmholtz maps

    Francesca Bonizzoni;Fabio Nobile;Ilaria Perugia;Davide Pradovera

    (2020)
    20 Citations

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