World's Best Scientists 2026 revealed!
Mathematical Models and Methods in Applied Sciences
H-index 26

Mathematical Models and Methods in Applied Sciences

0218-2025

Published by: World Scientific

https://www.worldscientific.com/worldscinet/m3as

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 36 88 165 26
Engineering and Technology 537 22 53 16

Additional Metrics

Number of Best Scientists*: 108
Documents by Best Scientists*: 189
Top 100 Ranked Scientists*: 7
SCIMAGO H-index: 97
SCIMAGO SJR: 1.991
Impact Factor: 3

Overview

Top Research Topics at Mathematical Models and Methods in Applied Sciences?

The journal focuses on Mathematical analysis, Nonlinear system, Classical mechanics, Boundary value problem and Applied mathematics. The concepts on Mathematical analysis presented in the journal can also apply to other research fields, including Boundary (topology) and Finite element method. Mixed finite element method is a major topic of Finite element method research presented in the journal.

The journal features Classical mechanics research that overlaps with concepts in Mechanics. Specifically, studies on Compressibility are prevalent in the Mechanics works discussed. In addition to Applied mathematics research, the journal aims to explore topics under Convergence (routing) and Mathematical optimization.

  • Mathematical analysis (46.92%)
  • Nonlinear system (10.99%)
  • Classical mechanics (10.33%)

What are the most cited papers published in the journal?

  • Basic principles of Virtual Element Methods (726 citations)
  • Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues (571 citations)
  • A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES (530 citations)

Research areas of the most cited articles at Mathematical Models and Methods in Applied Sciences:

The most cited publications mostly deal with topics like Mathematical analysis, Applied mathematics, Finite element method, Classical mechanics and Nonlinear system. The journal articles focus on Mathematical analysis as well as the interrelated topics of Convergence (routing). While work presented in the published articles provide substantial information on Applied mathematics, it also covers topics in Polygon mesh and Mathematical optimization.

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

  • Quantum mechanics
  • Mathematical analysis
  • Statistics

The previous edition focused in particular on these issues:

The journal covers a variety of subjects, including Applied mathematics, Mathematical analysis, Active particles, Statistical physics and Chemotaxis. Some problems in Applied mathematics that were presented in it overlapped with concepts under Regularization (mathematics), Convergence (routing) and Finite element method. Mathematical analysis research presented in Mathematical Models and Methods in Applied Sciences encompasses a variety of subjects, including Navier stokes, Type (model theory) and Nonlinear system.

It aims to investigate interdisciplinary topics such as Active particles and Pandemic. While Statistical physics is the focus of the journal, it also provided insights into the studies of Kinetic theory of gases, Kinetic model and Crowd dynamics.

The most cited articles from the last journal are:

  • Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations (13 citations)
  • Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis (10 citations)
  • Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces (6 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 Mathematical Models and Methods in Applied Sciences (based on the number of publications) are:

  • Nicola Bellomo (45 papers) published 3 papers at the last edition, 3 less than at the previous edition,
  • Franco Brezzi (27 papers) published 2 papers at the last edition, 1 less than at the previous edition,
  • Juan Soler (22 papers) published 2 papers at the last edition the same number as at the previous edition,
  • Pierre Degond (20 papers) absent at the last edition,
  • José A. Carrillo (18 papers) published 1 paper at the last edition, 1 less 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 Mathematical Models and Methods in Applied Sciences (based on the number of publications) are:

  • University of Pavia (67 papers) published 2 papers at the last edition, 4 less than at the previous edition,
  • Polytechnic University of Turin (60 papers) published 1 paper at the last edition,
  • Sapienza University of Rome (53 papers) published 1 paper at the last edition the same number as at the previous edition,
  • University of Milan (51 papers) published 1 paper at the last edition, 3 less than at the previous edition,
  • Centre national de la recherche scientifique (50 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, 23.68% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 20.69% were posted by at least one author from the top 10 institutions publishing in the journal. Another 13.79% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 20.69% of all publications and 44.83% 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 multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world

    Nicola Bellomo;Nicola Bellomo;Richard Bingham;Mark A. J. Chaplain;Giovanni Dosi

    (2020)
    164 Citations
  • Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision

    Unknown

    (2022)
    160 Citations
  • Towards a mathematical theory of behavioral human crowds

    (2022)
    81 Citations
  • What is life? A perspective of the mathematical kinetic theory of active particles

    Nicola Bellomo;Diletta Burini;Giovanni Dosi;Livio Gibelli

    (2021)
    67 Citations
  • The Stokes complex for Virtual Elements in three dimensions

    L. Beirão da Veiga;F. Dassi;G. Vacca

    (2020)
    59 Citations
  • Convergence of a first-order consensus-based global optimization algorithm

    Seung-Yeal Ha;Seung-Yeal Ha;Shi Jin;Doheon Kim

    (2020)
    54 Citations

Related Online Degrees & Career Pathways

Exploring Mathematics in the USA opens doors to a variety of interconnected fields and online degrees that complement strong analytical skills. For students interested in blending quantitative skills with business acumen, an online marketing degree offers a cost-effective pathway with solid earning potential. This degree combines data analysis with market strategies, ideal for mathematically minded individuals.

For those leaning toward leadership and management roles, pursuing one of the best 1 year MBA programs can accelerate career growth while leveraging a math background. Such programs provide a compact, intensive curriculum designed to build business insights quickly.

Additionally, careers in people management and organizational development are within reach through an online human resource management masters degree online. This degree is well suited for those who want to apply analytical thinking to workforce planning and talent management.

For students interested in healthcare, one of the cheapest adn online programs offers affordable access to a nursing career. Math skills are vital here for dosage calculations, patient data analysis, and research.

These diverse pathways highlight the value of combining mathematical expertise with specialized knowledge, creating versatile career opportunities across industries.

Best Scientists Contributing to This Journal

Recently Published Articles