SIAM Journal on Numerical Analysis

Top Research Topics at SIAM Journal on Numerical Analysis?

The foci of the journal are Mathematical analysis, Applied mathematics, Finite element method, Numerical analysis and Partial differential equation. The journal addresses concerns in Mathematical analysis which are intertwined with other disciplines, such as Rate of convergence and Galerkin method, Nonlinear system. The journal facilitates discussions on Applied mathematics that incorporate concepts from other fields like Iterative method, Mathematical optimization, Estimator and Calculus.

While Finite element method is the focus of SIAM Journal on Numerical Analysis, it also provided insights into the studies of Norm (mathematics), Geometry and Elliptic curve. Numerical analysis study tackled is connected to the field of Differential equation. The Boundary value problem works, particularly on Mixed boundary condition are tackled in SIAM Journal on Numerical Analysis.

The study on Mixed finite element method presented in it intersects with the topics under Extended finite element method.

• Mathematical analysis (62.64%)
• Applied mathematics (24.93%)
• Finite element method (21.79%)

What are the most cited papers published in the journal?

• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (2654 citations)
• On the Construction and Comparison of Difference Schemes (2609 citations)
• Image selective smoothing and edge detection by nonlinear diffusion. II (2138 citations)

Research areas of the most cited articles at SIAM Journal on Numerical Analysis:

The journal papers facilitate discussions on Mathematical analysis, Finite element method, Applied mathematics, Numerical analysis and Partial differential equation. The most cited papers address concerns in Mathematical analysis which are intertwined with other disciplines, such as Discontinuous Galerkin method and Galerkin method, Nonlinear system. While Numerical analysis is the focus of the journal papers, it also provides insights into the studies of Rate of convergence and Differential equation.

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

• Mathematical analysis
• Quantum mechanics
• Statistics

The previous edition focused in particular on these issues:

The journal was organized to reinforce research efforts on Applied mathematics, Mathematical analysis, Finite element method, Error analysis and Order (group theory). It addresses concerns in the field of Applied mathematics by exploring it in line with topics in Energy (signal processing) which intersect with Order (ring theory) subjects. The works on Mathematical analysis deal in particular with Numerical analysis.

It links adjacent topics like Numerical analysis with Class (set theory). Finite element method research presented in it encompasses a variety of subjects, including Fractional Laplacian, Polygon mesh, Eigenvalues and eigenvectors and Stability (probability). In addition to Order (group theory) research, the journal aims to explore topics under Mixed finite element method and Nonlinear system.

The most cited articles from the last journal are:

• Spectral Convergence of Diffusion Maps: Improved Error Bounds and an Alternative Normalization (17 citations)
• Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games: I -- The Ergodic Case (16 citations)
• Discovery of Dynamics Using Linear Multistep Methods (9 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.

Top authors and change over time

The top authors publishing in SIAM Journal on Numerical Analysis (based on the number of publications) are:

• Carsten Carstensen (38 papers) published 3 papers at the last edition, 2 more than at the previous edition,
• Mary F. Wheeler (35 papers) absent at the last edition,
• Qiang Du (33 papers) published 1 paper at the last edition the same number as at the previous edition,
• Thomas A. Manteuffel (32 papers) absent at the last edition,
• Ivo Babuška (30 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.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in SIAM Journal on Numerical Analysis (based on the number of publications) are:

• Purdue University (37 papers) absent at the last edition,
• University of Maryland, College Park (35 papers) absent at the last edition,
• University of Texas at Austin (31 papers) absent at the last edition,
• Texas A&M University (28 papers) absent at the last edition,
• Brown University (27 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, 88.24% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 25.00% 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 33.33% of all publications and 41.67% 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.