Asymptotic Analysis

Top Research Topics at Asymptotic Analysis?

The journal focuses largely on the fields of Mathematical analysis, Nonlinear system, Mathematical physics, Boundary value problem and Homogenization (chemistry). Most of the works presented in the journal deals with Mathematical analysis but it intersects with the subject of Boundary (topology). Boundary value problem research presented is mostly focused on the subject of Mixed boundary condition.

Most of the Bounded function studies addressed also intersect with Domain (mathematical analysis).

• Mathematical analysis (59.58%)
• Nonlinear system (10.80%)
• Mathematical physics (9.26%)

What are the most cited papers published in the journal?

• Convergence of approximation schemes for fully nonlinear second order equations (923 citations)
• Stochastic homogenization of Hamilton–Jacobi equations and some applications (172 citations)
• Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities (168 citations)

Research areas of the most cited articles at Asymptotic Analysis:

The journal articles primarily focus on research topics in Mathematical analysis, Boundary value problem, Nonlinear system, Homogenization (chemistry) and Bounded function. While the primary focus in the most cited papers is Mathematical analysis, they also dissect topics surrounding Boundary (topology) and Wave equation as a whole. The most cited papers tackle studies in Limit (mathematics) and the interrelated subject of Semiclassical physics, Quantum mechanics and Mathematical physics to gain insights into Nonlinear system.

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

• Quantum mechanics
• Mathematical analysis
• Algebra

The previous edition focused in particular on these issues:

The concepts of Mathematical analysis, Applied mathematics, Mathematical physics, Nonlinear system and Pure mathematics are tackled in the journal. The studies on Mathematical analysis discussed can also contribute to research in the domains of Navier stokes, Compressibility and Boundary (topology). The journal facilitates discussions on Applied mathematics that incorporate concepts from other fields like Norm (mathematics), Eigenvalues and eigenvectors, Hilbert space and Homogenization (chemistry).

Mathematical physics research featured in Asymptotic Analysis incorporates concerns from various other topics such as Klein–Gordon equation and Schrödinger equation. Studies on Pure mathematics discussed in Asymptotic Analysis link to the field of Bounded function. The Bounded function works featured in it incorporate elements from Order (ring theory) and Domain (mathematical analysis).

The most cited articles from the last journal are:

• Solutions for parametric double phase Robin problems (11 citations)
• Asymptotic expansion of the L2-norm of a solution of the strongly damped wave equation in space dimension 1 and 2 (10 citations)
• A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p→∞ (7 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 Asymptotic Analysis (based on the number of publications) are:

• Georgi Vodev (11 papers) absent at the last edition,
• Marco Squassina (10 papers) published 1 paper at the last edition the same number as at the previous edition,
• Alain Miranville (9 papers) published 1 paper at the last edition,
• Marianna A. Shubov (9 papers) published 1 paper at the last edition,
• Andrey Piatnitski (7 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 Asymptotic Analysis (based on the number of publications) are:

• University of Paris (37 papers) published 1 paper at the last edition, 1 less than at the previous edition,
• Pierre-and-Marie-Curie University (28 papers) absent at the last edition,
• University of Nantes (22 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• École Normale Supérieure (21 papers) published 1 paper at the last edition,
• Sapienza University of Rome (20 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, 7.58% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 8.20% were posted by at least one author from the top 10 institutions publishing in the journal. Another 5.74% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 16.39% of all publications and 69.67% 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.