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ESAIM: Mathematical Modelling and Numerical Analysis
H-index 18

ESAIM: Mathematical Modelling and Numerical Analysis

0764-583X

Published by: EDP Sciences

https://www.esaim-m2an.org/

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 101 95 141 17

Additional Metrics

Number of Best Scientists*: 112
Documents by Best Scientists*: 156
Top 100 Ranked Scientists*: 5
SCIMAGO H-index: 85
SCIMAGO SJR: 1.217
Impact Factor: N/A

Overview

Top Research Topics at Mathematical Modelling and Numerical Analysis?

Mathematical analysis, Numerical analysis, Applied mathematics, Finite element method and Discretization are the subjects of interest in the journal. The research on Mathematical analysis tackled can also make contributions to studies in the areas of Discontinuous Galerkin method and Galerkin method, Nonlinear system. It facilitates discussions on Numerical analysis that incorporate concepts from other fields like Navier–Stokes equations, Geometry, Calculus and Finite volume method.

The research on Applied mathematics featured in it combines topics in other fields like Rate of convergence, Polygon mesh and Mathematical optimization. Mixed finite element method and Extended finite element method are Finite element method topics of special interest in it.

  • Mathematical analysis (47.07%)
  • Numerical analysis (31.57%)
  • Applied mathematics (28.66%)

What are the most cited papers published in the journal?

  • Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates (709 citations)
  • The Runge-Kutta local projection $P^1$ -discontinuous-Galerkin finite element method for scalar conservation laws (459 citations)
  • The $h-p$ version of the finite element method with quasiuniform meshes (378 citations)

Research areas of the most cited articles at Mathematical Modelling and Numerical Analysis:

The journal articles mainly deal with areas of study such as Mathematical analysis, Numerical analysis, Applied mathematics, Finite element method and Partial differential equation. The most cited papers with studies in Mathematical analysis featured incorporate elements of Discontinuous Galerkin method and Galerkin method, Nonlinear system. The study of Numerical analysis in the most cited articles encompasses disciplines such as Geometry, as well as fields such as Pure mathematics, all of which overlap with one another.

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

  • Quantum mechanics
  • Mathematical analysis
  • Finite element method

The previous edition focused in particular on these issues:

Mathematical Modelling and Numerical Analysis tackles a plethora of topics, such as Applied mathematics, Finite element method, Mathematical analysis, Discretization and Numerical analysis. Mathematical Modelling and Numerical Analysis holds forums on Applied mathematics that merges themes from other disciplines such as Norm (mathematics), Nonlinear system, Rate of convergence, Piecewise and Discontinuous Galerkin method. Many of the research works in Finite element method, specifically Galerkin method, closely connected to disciplines like Space time.

In it, Helmholtz free energy, Scattering and Surface (mathematics) are investigated in conjunction with one another to address concerns in Mathematical analysis research. Mathematical Modelling and Numerical Analysis tackles studies in Finite volume method and the interrelated subject of Compact space, Conservation law, Flow (mathematics) and Partial differential equation to gain insights into Discretization. The Numerical analysis works featured in Mathematical Modelling and Numerical Analysis incorporate elements from Iterative method, Linear system, Variable (mathematics) and Entropy (classical thermodynamics).

The most cited articles from the last journal are:

  • Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods (13 citations)
  • Unified analysis of discontinuous Galerkin and C0-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations (12 citations)
  • Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs (11 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 Modelling and Numerical Analysis (based on the number of publications) are:

  • Christine Bernardi (17 papers) absent at the last edition,
  • Serge Nicaise (16 papers) absent at the last edition,
  • Chi-Wang Shu (16 papers) published 3 papers at the last edition, 1 more than at the previous edition,
  • Karl Kunisch (16 papers) absent at the last edition,
  • Alexandre Ern (15 papers) published 2 papers 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 Mathematical Modelling and Numerical Analysis (based on the number of publications) are:

  • French Institute for Research in Computer Science and Automation (71 papers) published 4 papers at the last edition, 2 more than at the previous edition,
  • University of Paris (70 papers) published 4 papers at the last edition, 1 less than at the previous edition,
  • Centre national de la recherche scientifique (58 papers) published 2 papers at the last edition, 2 less than at the previous edition,
  • Pierre-and-Marie-Curie University (41 papers) absent at the last edition,
  • École Polytechnique Fédérale de Lausanne (35 papers) published 2 papers at the last edition, 1 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, 22.31% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 25.53% were posted by at least one author from the top 10 institutions publishing in the journal. Another 7.45% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 17.02% of all publications and 50.00% 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

  • Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters

    Matthieu Martin;Sebastian Krumscheid;Fabio Nobile

    (2021)
    48 Citations
  • A Nitsche-based formulation for fluid-structure interactions with contact

    Erik Burman;Miguel Angel Fernández;Stefan Frei

    (2020)
    46 Citations
  • Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods

    Giulia Bertaglia;Lorenzo Pareschi

    (2021)
    44 Citations
  • A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection

    Wenbin Chen;Weijia Li;Zhiwen Luo;Cheng Wang

    (2020)
    41 Citations
  • Further results on a space-time FOSLS formulation of parabolic PDEs

    Gregor Gantner;Rob Stevenson

    (2021)
    41 Citations
  • Convergence rates of high dimensional Smolyak quadrature

    Jakob Zech;Christoph Schwab

    (2020)
    39 Citations
  • A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem

    Eligio Colmenares;Gabriel N. Gatica;Sebastián Moraga;Sebastián Moraga

    (2020)
    39 Citations

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