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Foundations of Computational Mathematics
H-index 25

Foundations of Computational Mathematics

1615-3375

Published by: Springer

https://www.springer.com/journal/10208

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 59 88 89 21

Additional Metrics

Number of Best Scientists*: 111
Documents by Best Scientists*: 111
Top 100 Ranked Scientists*: 5
SCIMAGO H-index: 71
SCIMAGO SJR: 2.308
Impact Factor: 2.7

Overview

Top Research Topics at Foundations of Computational Mathematics?

Foundations of Computational Mathematics investigates studies in Numerical analysis, Discrete mathematics, Mathematical analysis, Combinatorics and Applied mathematics. Topics in Numerical analysis explored in the journal were investigated in conjunction with research in Pure mathematics, Partial differential equation, Finite element method, Discretization and Algorithm. Pure mathematics study tackled is connected to the field of Algebra.

The journal explores research in Discrete mathematics and the adjacent study of Polynomial. The work tackled in Foundations of Computational Mathematics goes beyond the discipline of Mathematical analysis as it also encompasses Nonlinear system. The journal addresses concerns in Combinatorics which are intertwined with other disciplines, such as Matrix (mathematics) and Bounded function.

  • Numerical analysis (39.18%)
  • Discrete mathematics (23.30%)
  • Mathematical analysis (22.84%)

What are the most cited papers published in the journal?

  • Exact Matrix Completion via Convex Optimization (4035 citations)
  • User-Friendly Tail Bounds for Sums of Random Matrices (1163 citations)
  • The Convex Geometry of Linear Inverse Problems (1082 citations)

Research areas of the most cited articles at Foundations of Computational Mathematics:

The journal articles mainly tackle studies in Numerical analysis, Mathematical analysis, Combinatorics, Algorithm and Applied mathematics. The most cited publications tackle topics on Numerical analysis, which can potentially contribute to the wider field of Algebra. The published papers focus on Combinatorics but the discussions also offer insight into other areas such as Discrete mathematics, Random matrix and Rank (linear algebra).

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

  • Mathematical analysis
  • Algebra
  • Geometry

The previous edition focused in particular on these issues:

Foundations of Computational Mathematics tackles a plethora of topics, such as Numerical analysis, Applied mathematics, Pure mathematics, Combinatorics and Bounded function. It tackles studies in Sobolev space and the interrelated subject of Tensor product to gain insights into Numerical analysis. The research on Applied mathematics featured in Foundations of Computational Mathematics combines topics in other fields like Dimension (graph theory), Nonlinear system, Discretization, Polynomial and Lipschitz continuity.

While Foundations of Computational Mathematics focused on Pure mathematics, it was also able to explore topics like Algebraic variety, Differential equation, Symbolic computation and Rank (linear algebra). Foundations of Computational Mathematics explores issues in Combinatorics which can be linked to other research areas like Upper and lower bounds and Order (ring theory). Foundations of Computational Mathematics explores topics in Bounded function which can be helpful for research in disciplines like Rate of convergence, Boundary (topology) and Domain (mathematical analysis).

The most cited articles from the last journal are:

  • Low-Rank Matrix Recovery with Composite Optimization: Good Conditioning and Rapid Convergence (26 citations)
  • Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity (21 citations)
  • A Unifying Representer Theorem for Inverse Problems and Machine Learning (18 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 Foundations of Computational Mathematics (based on the number of publications) are:

  • Carlos Beltrán (10 papers) absent at the last edition,
  • Michael Shub (10 papers) absent at the last edition,
  • Hans Munthe-Kaas (9 papers) published 1 paper at the last edition,
  • Felipe Cucker (9 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Albert Cohen (8 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 Foundations of Computational Mathematics (based on the number of publications) are:

  • French Institute for Research in Computer Science and Automation (26 papers) published 2 papers at the last edition the same number as at the previous edition,
  • Texas A&M University (22 papers) published 5 papers at the last edition,
  • Max Planck Society (19 papers) published 4 papers at the last edition, 1 more than at the previous edition,
  • Technical University of Berlin (18 papers) published 6 papers at the last edition, 4 more than at the previous edition,
  • ETH Zurich (17 papers) published 3 papers at the last edition, 2 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, 5.88% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 28.75% were posted by at least one author from the top 10 institutions publishing in the journal. Another 15.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 22.50% of all publications and 33.75% 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

  • On the Sample Complexity of the Linear Quadratic Regulator

    Sarah Dean;Horia Mania;Nikolai Matni;Benjamin Recht

    (2020)
    538 Citations
  • A Theoretical and Empirical Comparison of Gradient Approximations in Derivative-Free Optimization

    Albert S. Berahas;Liyuan Cao;Krzysztof Choromanski;Katya Scheinberg

    (2021)
    131 Citations
  • Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks

    (2022)
    77 Citations
  • Operator Scaling: Theory and Applications

    Ankit Garg;Leonid Gurvits;Rafael Mendes de Oliveira;Avi Wigderson

    (2020)
    76 Citations
  • Weak Convergence Rates for Euler-Type Approximations of Semilinear Stochastic Evolution Equations with Nonlinear Diffusion Coefficients

    Arnulf Jentzen;Arnulf Jentzen;Ryan Kurniawan

    (2021)
    65 Citations
  • Primal Dual Methods for Wasserstein Gradient Flows

    José A. Carrillo;Katy Craig;Li Wang;Chaozhen Wei

    (2021)
    64 Citations
  • Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity

    Alexander Ostermann;Frédéric Rousset;Katharina Schratz

    (2021)
    50 Citations
  • Kurdyka–Łojasiewicz Exponent via Inf-projection

    Peiran Yu;Guoyin Li;Ting Kei Pong

    (2021)
    50 Citations
  • Complexes from Complexes

    Douglas N. Arnold;Kaibo Hu

    (2021)
    48 Citations
  • Reconstruction and Interpolation of Manifolds. : I: The Geometric Whitney Problem

    Charles Fefferman;Sergei Ivanov;Yaroslav Kurylev;Matti Lassas

    (2020)
    36 Citations

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