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Computational Methods in Applied Mathematics
H-index 12

Computational Methods in Applied Mathematics

1609-4840

Published by: Walter de Gruyter

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

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 204 44 69 12
Engineering and Technology 1210 12 17 5

Additional Metrics

Number of Best Scientists*: 48
Documents by Best Scientists*: 72
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 36
SCIMAGO SJR: 0.581
Impact Factor: 1.2

Overview

Top Research Topics at Computational methods in applied mathematics?

The main points discussed in Computational methods in applied mathematics deals with Mathematical analysis, Applied mathematics, Finite element method, Discretization and A priori and a posteriori. The work tackled in it goes beyond the discipline of Mathematical analysis as it also encompasses Discontinuous Galerkin method. The concepts on Applied mathematics presented in Computational methods in applied mathematics can also apply to other research fields, including Eigenvalues and eigenvectors, Estimator, Mathematical optimization, Nonlinear system and Numerical analysis.

Most of the works presented in Computational methods in applied mathematics deals with Estimator but it intersects with the subject of Residual. Topics in Finite element method explored in the journal were investigated in conjunction with research in Optimal control and Obstacle problem.

  • Mathematical analysis (40.75%)
  • Applied mathematics (40.55%)
  • Finite element method (25.79%)

What are the most cited papers published in the journal?

  • An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators (160 citations)
  • Space Mapping and Defect Correction (85 citations)
  • Some Estimates for Virtual Element Methods (85 citations)

Research areas of the most cited articles at Computational methods in applied mathematics:

The most cited publications are organized to address concerns in the fields of Applied mathematics, Mathematical analysis, Finite element method, Mixed finite element method and Convection–diffusion equation. The most cited publications hold forums on Mathematical analysis that merge themes from other disciplines such as Rate of convergence, Additive Schwarz method and Schwarz alternating method. The most cited publications explore issues in Finite element method which can be linked to other research areas like Discretization, Focus (optics) and Boundary value problem.

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

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

The previous edition focused in particular on these issues:

The topics of Applied mathematics, Mathematical analysis, Finite element method, Discontinuous Galerkin method and A priori and a posteriori are the focal point of discussions in Computational methods in applied mathematics. Scheme (mathematics), Preconditioner, Estimator, Discretization and Domain (mathematical analysis) are some topics wherein Applied mathematics research discussed in Computational methods in applied mathematics have an impact. In it, Stability (probability), Multigrid method, Navier–Stokes equations, Coupling and Piecewise are investigated in conjunction with one another to address concerns in Discretization research.

The journal explores issues in Mathematical analysis which can be linked to other research areas like Polygon mesh and Anisotropy. In addition to Finite element method research, Computational methods in applied mathematics aims to explore topics under Rate of convergence, Least squares, Optimal control and Relaxation (approximation). While work presented in it provided substantial information on Discontinuous Galerkin method, it also covered topics in Isogeometric analysis, Symbolic convergence theory and Order (ring theory).

The most cited articles from the last journal are:

  • On the Energy Stable Approximation of Hamiltonian and Gradient Systems (5 citations)
  • Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations (5 citations)
  • Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ℎ and (4 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 Computational methods in applied mathematics (based on the number of publications) are:

  • Boris N. Khoromskij (12 papers) absent at the last edition,
  • Ivan P. Gavrilyuk (12 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Sergey Repin (11 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Petr N. Vabishchevich (10 papers) absent at the last edition,
  • Martin Stynes (9 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 Computational methods in applied mathematics (based on the number of publications) are:

  • Max Planck Society (14 papers) absent at the last edition,
  • Technical University of Berlin (12 papers) absent at the last edition,
  • Humboldt University of Berlin (9 papers) published 2 papers at the last edition, 1 more than at the previous edition,
  • Steklov Mathematical Institute (9 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Indian Institute of Technology Bombay (8 papers) published 3 papers at the last edition, 2 more 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, 6.56% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 22.81% were posted by at least one author from the top 10 institutions publishing in the journal. Another 12.28% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 22.81% of all publications and 42.11% 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

  • Error Analysis of a Finite Difference Method on Graded Meshes for a Multiterm Time-Fractional Initial-Boundary Value Problem

    Chaobao Huang;Xiaohui Liu;Xiangyun Meng;Martin Stynes

    (2020)
    37 Citations
  • Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods

    Pascal Heid;Dirk Praetorius;Thomas P. Wihler

    (2021)
    24 Citations
  • Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces

    Jérôme Droniou;Liam Yemm

    (2021)
    23 Citations
  • A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters

    Javier A. Almonacid;Gabriel N. Gatica

    (2020)
    19 Citations
  • Adaptive Space-Time Finite Element Methods for Non-autonomous Parabolic Problems with Distributional Sources

    Ulrich Langer;Andreas Schafelner

    (2020)
    17 Citations
  • Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- And divergence-preserving operators

    Christian Kreuzer;Rüdiger Verfürth;Pietro Zanotti

    (2021)
    16 Citations
  • A Priori and a Posteriori Error Analysis of the Crouzeix–Raviart and Morley FEM with Original and Modified Right-Hand Sides

    Carsten Carstensen;Neela Nataraj

    (2021)
    15 Citations
  • Defects in Active Nematics – Algorithms for Identification and Tracking

    Dennis Wenzel;Michael Nestler;Sebastian Reuther;Maximilian Simon

    (2021)
    15 Citations
  • Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions

    Jinye Shen;Martin Stynes;Zhi-Zhong Sun

    (2021)
    14 Citations

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