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Acta Numerica
H-index 16

Acta Numerica

0962-4929

Published by: Cambridge University Press

https://www.cambridge.org/core/journals/acta-numerica

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 145 21 22 15

Additional Metrics

Number of Best Scientists*: 27
Documents by Best Scientists*: 26
Top 100 Ranked Scientists*: 4
SCIMAGO H-index: 91
SCIMAGO SJR: 6.61
Impact Factor: 11.3

Overview

Top Research Topics at Acta Numerica?

The aim of the journal is to expand the discussion of research in Applied mathematics, Numerical analysis, Mathematical analysis, Mathematical optimization and Partial differential equation. The journal focuses on Applied mathematics but the discussions also offer insight into other areas such as Numerical partial differential equations, Finite difference, Numerical stability, Finite element method and Discretization. While work presented in the journal provided substantial information on Numerical partial differential equations, it also covered topics in Differential algebraic equation and Stochastic partial differential equation.

Numerical stability research featured in it incorporates concerns from various other topics such as Numerical methods for ordinary differential equations and Exponential integrator. Mixed finite element method and Galerkin method are all subfields of Finite element method research that were featured in the journal. The research on Mixed finite element method featured in it combines topics in other fields like Smoothed finite element method and Extended finite element method.

The concepts on Numerical analysis presented in the journal can also apply to other research fields, including Algorithm, Computation and Nonlinear system. Acta Numerica primarily discusses Mathematical analysis topics, particularly Differential equation, Conservation law, Piecewise and Boundary value problem. The journal explores topics in Mathematical optimization which can be helpful for research in disciplines like Nonlinear programming and Inverse problem.

  • Applied mathematics (30.56%)
  • Numerical analysis (20.56%)
  • Mathematical analysis (16.67%)

What are the most cited papers published in the journal?

  • The immersed boundary method (3102 citations)
  • Numerical solution of saddle point problems (1720 citations)
  • Discrete mechanics and variational integrators (1338 citations)

Research areas of the most cited articles at Acta Numerica:

The journal publications focus largely on the fields of Applied mathematics, Finite element method, Mathematical analysis, Mathematical optimization and Algebra. The journal articles facilitate discussions on Applied mathematics that incorporate concepts from other fields like Discretization, Equilibrium point, Symplectic geometry and Dissipation. While the journal papers focused on Finite element method, they were also able to explore topics like Finite difference and Numerical partial differential equations.

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

  • Quantum mechanics
  • Mathematical analysis
  • Algorithm

The previous edition focused in particular on these issues:

The journal explores disciplines such as Numerical analysis, Computation, Mathematical model, Partial differential equation and Mathematical theory. The studies in Numerical analysis featured incorporate elements of Mathematical optimization, Computer simulation, Applied mathematics and Continuum (topology). The research on Computation tackled can also make contributions to studies in the areas of Computational physics, Tensor, Linear algebra, Algebra and Numerical linear algebra.

The journal holds forums on Mathematical model that merges themes from other disciplines such as Isotropy, Salient and Liquid crystal. Some problems in Partial differential equation that were presented in it overlapped with concepts under Subspace topology, Theoretical computer science, Inverse problem, Inference and Reduction (complexity). While Mathematical theory is the key highlight in Acta Numerica, it also covered some subjects on Flexibility (engineering) and Artificial intelligence and Deep learning.

The most cited articles from the last journal are:

  • Numerical homogenization beyond scale separation (6 citations)
  • Learning physics-based models from data: perspectives from inverse problems and model reduction (3 citations)
  • Deep learning: a statistical viewpoint (3 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 Acta Numerica (based on the number of publications) are:

  • Leslie Greengard (3 papers) absent at the last edition,
  • Björn Engquist (3 papers) absent at the last edition,
  • James Demmel (3 papers) absent at the last edition,
  • Gene H. Golub (3 papers) absent at the last edition,
  • Eitan Tadmor (3 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 Acta Numerica (based on the number of publications) are:

  • Stanford University (7 papers) published 1 paper at the last edition,
  • University of Texas at Austin (7 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • California Institute of Technology (5 papers) absent at the last edition,
  • North Carolina State University (5 papers) absent at the last edition,
  • Courant Institute of Mathematical Sciences (5 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, 0.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 28.57% were posted by at least one author from the top 10 institutions publishing in the journal. Another 0.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 42.86% of all publications and 28.57% 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

  • Randomized numerical linear algebra: Foundations and algorithms

    Per-Gunnar Martinsson;Joel A. Tropp

    (2020)
    197 Citations
  • Neural network approximation

    Ronald A. DeVore;Boris Hanin;Guergana Petrova

    (2020)
    175 Citations
  • Deep learning: a statistical viewpoint

    Peter L. Bartlett;Andrea Montanari;Alexander Rakhlin

    (2021)
    160 Citations
  • Numerical methods for nonlocal and fractional models

    Marta D'Elia;Qiang Du;Christian A. Glusa;Max D. Gunzburger

    (2020)
    157 Citations
  • Essentially non-oscillatory and weighted essentially non-oscillatory schemes

    Chi-Wang Shu

    (2020)
    124 Citations
  • Learning physics-based models from data: perspectives from inverse problems and model reduction

    Omar Ghattas;Karen Willcox

    (2021)
    97 Citations
  • Control of port-Hamiltonian differential-algebraic systems and applications

    (2023)
    81 Citations
  • The numerics of phase retrieval

    Albert Fannjiang;Thomas Strohmer

    (2020)
    78 Citations
  • Reduced basis methods for time-dependent problems

    (2022)
    76 Citations
  • Mixed precision algorithms in numerical linear algebra

    (2022)
    75 Citations

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Best Scientists Contributing to This Journal