World's Best Scientists 2026 revealed!
Applied Mathematical Modelling
H-index 52

Applied Mathematical Modelling

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mechanical and Aerospace Engineering 37 164 273 37
Mathematics 43 69 110 25
Engineering and Technology 110 200 306 42

Additional Metrics

Number of Best Scientists*: 596
Documents by Best Scientists*: 801
Top 100 Ranked Scientists*: 28
SCIMAGO H-index: 150
SCIMAGO SJR: 1.126
Impact Factor: 5.1

Overview

Top Research Topics at Applied Mathematical Modelling?

The journal primarily tackles Mathematical analysis, Mechanics, Mathematical optimization, Nonlinear system and Boundary value problem. The studies on Mathematical analysis discussed can also contribute to research in the domains of Geometry and Finite element method. Finite element method research presented falls under the umbrella topic of Structural engineering.

In addition to Mechanics research, it aims to explore topics under Vibration, Classical mechanics and Thermodynamics. The research on Mathematical optimization tackled can also make contributions to studies in the areas of Algorithm and Applied mathematics. The Nonlinear system research discussed is included in the broader subject of Control theory.

  • Mathematical analysis (19.85%)
  • Mechanics (18.86%)
  • Mathematical optimization (14.53%)

What are the most cited papers published in the journal?

  • A new approach to free vibration analysis using boundary elements (534 citations)
  • DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge (468 citations)
  • The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: Analytical solutions (445 citations)

Research areas of the most cited articles at Applied Mathematical Modelling:

The most cited articles generally zeroe in on subjects such as Mathematical optimization, Mathematical analysis, Mechanics, Nonlinear system and Boundary value problem. The most cited articles feature Mathematical analysis research that overlaps with concepts in Finite element method. The featured Mechanics studies in the most cited articles mainly concentrate on Vibration but also cover areas of interest in Structural engineering.

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

  • Quantum mechanics
  • Statistics
  • Mechanical engineering

The previous edition focused in particular on these issues:

The discussions in the journal mainly cover the fields of Mechanics, Nonlinear system, Control theory, Structural engineering and Mathematical analysis. While Mechanics is the focus of the journal, it also provided insights into the studies of Amplitude, Strain rate, Boundary value problem and Stress intensity factor. The Nonlinear system works featured in Applied Mathematical Modelling incorporate elements from Buckling, Axial symmetry, Stiffness and Robustness (computer science).

In the journal, Reliability (statistics), Tracking (particle physics), Monte Carlo method and Data control are investigated in conjunction with one another to address concerns in Control theory research. The concepts on Structural engineering presented in the journal can also apply to other research fields, including Work (thermodynamics) and Track (rail transport). The work on Mathematical analysis tackled in it brings together disciplines like Reflection (physics), Stress (mechanics) and Composite plate.

The most cited articles from the last journal are:

  • Further enhancement of the particle shifting technique: towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows (2 citations)
  • Thickness-based subdomian hybrid cellular automata algorithm for lightweight design of BIW under side collision (0 citations)
  • Stability analysis for interconnected system with quantized sampled-data control (0 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 Applied Mathematical Modelling (based on the number of publications) are:

  • Mohamad Y. Jaber (33 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Ian Turner (32 papers) absent at the last edition,
  • Mark Cross (27 papers) absent at the last edition,
  • Jau-Chuan Ke (24 papers) absent at the last edition,
  • Fawang Liu (24 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 Applied Mathematical Modelling (based on the number of publications) are:

  • Islamic Azad University (168 papers) absent at the last edition,
  • Dalian University of Technology (113 papers) published 1 paper at the last edition, 11 less than at the previous edition,
  • National Cheng Kung University (105 papers) absent at the last edition,
  • Hunan University (101 papers) published 2 papers at the last edition, 7 less than at the previous edition,
  • Iran University of Science and Technology (99 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 2022 edition, 17.74% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 13.73% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.76% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 7.84% of all publications and 66.67% 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

  • Large Eddy Simulation of the Tip-leakage Cavitating flow with an insight on how cavitation influences vorticity and turbulence

    H.Y. Cheng;H.Y. Cheng;X.R. Bai;X.P. Long;B. Ji

    (2020)
    331 Citations
  • Vibration isolation and energy harvesting integrated in a Stewart platform with high static and low dynamic stiffness

    Ze-Qi Lu;Dao Wu;Hu Ding;Li-Qun Chen

    (2021)
    166 Citations
  • Analysis of melting behavior of PCMs in a cavity subject to a non-uniform magnetic field using a moving grid technique

    M. Ghalambaz;S.M. Hashem Zadeh;S.A.M. Mehryan;I. Pop

    (2020)
    161 Citations
  • Enhanced resolution of the continuity equation in explicit weakly compressible SPH simulations of incompressible free-surface fluid flows

    Unknown

    (2022)
    158 Citations
  • A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures

    Abbas Khayyer;Yuma Shimizu;Hitoshi Gotoh;Ken Nagashima

    (2021)
    122 Citations
  • A new-structure grey Verhulst model: Development and performance comparison

    Bo Zeng;Mingyu Tong;Xin Ma

    (2020)
    120 Citations
  • A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows

    (2022)
    107 Citations
  • A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar

    Fei-Yu Ji;Chun-Hui He;Chun-Hui He;Jing-Jing Zhang;Ji-Huan He;Ji-Huan He;Ji-Huan He

    (2020)
    104 Citations

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Best Scientists Contributing to This Journal