World's Best Scientists 2026 revealed!
Numerical Mathematics
H-index 7

Numerical Mathematics

1004-8979

Published by: Global Science Press

https://www.global-sci.org/nmtma

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 450 20 31 6

Additional Metrics

Number of Best Scientists*: 33
Documents by Best Scientists*: 45
Top 100 Ranked Scientists*: 4
SCIMAGO H-index: 28
SCIMAGO SJR: 0.712
Impact Factor: 1.8

Overview

Top Research Topics at Numerical Mathematics-theory Methods and Applications?

The journal mainly deals with areas of study such as Applied mathematics, Mathematical analysis, Finite element method, Mathematical optimization and Algorithm. It facilitates discussions on Applied mathematics that incorporate concepts from other fields like Multigrid method, Galerkin method, Nonlinear system, Scheme (mathematics) and Convergence (routing). The Mathematical analysis study featured in it draws connections with the study of Discontinuous Galerkin method.

Finite element method research is the primary subject tackled in Numerical Mathematics-theory Methods and Applications with a focus on Mixed finite element method. The studies tackled, which mainly focus on Mixed finite element method, apply to Extended finite element method as well.

  • Applied mathematics (38.32%)
  • Mathematical analysis (32.20%)
  • Finite element method (14.29%)

What are the most cited papers published in the journal?

  • pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems (106 citations)
  • An Adaptive Strategy for the Restoration of Textured Images using Fractional Order Regularization (60 citations)
  • Advances in Studies and Applications of Centroidal Voronoi Tessellations (47 citations)

Research areas of the most cited articles at Numerical Mathematics-theory Methods and Applications:

The journal articles mostly deal with topics like Mathematical analysis, Applied mathematics, Finite element method, Mathematical optimization and Convergence (routing). Issues in Mathematical analysis were discussed in the journal publications, taking into consideration concepts from other disciplines like Function (mathematics) and Wavelet. Applied mathematics research is the primary subject tackled in the most cited articles with a focus in Fractional calculus.

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

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

The previous edition focused in particular on these issues:

The journal primarily focuses on research topics in Applied mathematics, Mathematical analysis, Convergence (routing), Nonlinear system and Scheme (mathematics). The journal held discussions to help close the divide between two different fields of study: Applied mathematics and A priori and a posteriori. The studies on Mathematical analysis discussed can also contribute to research in the domains of Navier–Stokes equations, Polygon mesh and Order (ring theory).

The research on Convergence (routing) featured in the journal combines topics in other fields like Stability (learning theory), Class (set theory) and Norm (mathematics). In the journal, Space (mathematics), Cavitation and Function approximation are investigated in conjunction with one another to address concerns in Nonlinear system research. Numerical Mathematics-theory Methods and Applications holds forums on Scheme (mathematics) that merges themes from other disciplines such as Nonlinear diffusion, Lipschitz continuity and Linearity.

The most cited articles from the last journal are:

  • A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations (8 citations)
  • A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs (3 citations)
  • Convergence of the Peaceman-Rachford Splitting Method for a Class of Nonconvex Programs (2 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 Numerical Mathematics-theory Methods and Applications (based on the number of publications) are:

  • global sci (42 papers) absent at the last edition,
  • Yanping Chen (6 papers) absent at the last edition,
  • Xue-Cheng Tai (5 papers) absent at the last edition,
  • Weizhang Huang (4 papers) absent at the last edition,
  • Michael K. Ng (4 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 Numerical Mathematics-theory Methods and Applications (based on the number of publications) are:

  • Shanghai Normal University (4 papers) absent at the last edition,
  • Chinese Academy of Sciences (4 papers) absent at the last edition,
  • University of Bologna (3 papers) absent at the last edition,
  • North Carolina State University (3 papers) absent at the last edition,
  • Xiamen University (3 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, 100.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, nan% were posted by at least one author from the top 10 institutions publishing in the journal. Another nan% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included nan% of all publications and nan% 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 Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

    Dongfang Li;Weiwei Sun;Weiwei Sun;Chengda Wu

    (2021)
    73 Citations
  • A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems

    (2022)
    58 Citations
  • Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations

    (2021)
    39 Citations
  • A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

    (2022)
    27 Citations
  • Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach

    Chenghua Duan;Chenghua Duan;Chun Liu;Cheng Wang;Xingye Yue

    (2020)
    14 Citations
  • Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

    (2020)
    9 Citations
  • Effect of Space Dimensions on Equilibrium Solutions of Cahn--Hilliard and Conservative Allen--Cahn Equations

    Hyun Geun Lee;Junxiang Yang;Jintae Park;Junseok Kim

    (2020)
    6 Citations
  • Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

    (2021)
    5 Citations
  • On the evolutionary dynamics of the cahn-hilliard equation with cut-off mass source

    Chaeyoung Lee;Hyundong Kim;Sungha Yoon;Jintae Park

    (2021)
    4 Citations
  • Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

    (2021)
    4 Citations

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