Analysis and Applications

Top Research Topics at Analysis and Applications?

The journal investigates studies in Mathematical analysis, Pure mathematics, Applied mathematics, Bounded function and Nonlinear system. In the Mathematical analysis research discussed, Boundary value problem, Initial value problem, Differential equation, Sobolev space and Uniqueness are all tackled. The studies tackled, which mainly focus on Applied mathematics, apply to Reproducing kernel Hilbert space as well.

The journal investigates Bounded function research which frequently intersects with Domain (mathematical analysis).

• Mathematical analysis (49.51%)
• Pure mathematics (18.64%)
• Applied mathematics (10.87%)

What are the most cited papers published in the journal?

• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION (424 citations)
• ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S (273 citations)
• ESTIMATING THE APPROXIMATION ERROR IN LEARNING THEORY (212 citations)

Research areas of the most cited articles at Analysis and Applications:

The most cited publications primarily tackle Mathematical analysis, Pure mathematics, Applied mathematics, Bounded function and Hilbert space. The journal papers hold forums on Mathematical analysis that merge themes from other disciplines such as Boltzmann equation and Nonlinear system. While Bounded function is the focus of the journal papers, it also provides insights into the studies of Inequality and Dissipative system.

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:

Pure mathematics, Applied mathematics, Algorithm, Mathematical analysis and Combinatorics are the subjects of interest in Analysis and Applications. Analysis and Applications addresses concerns in Pure mathematics which are intertwined with other disciplines, such as Property (philosophy), Fourier transform and Continuous function. The studies in Applied mathematics featured incorporate elements of Airy function, Probabilistic logic, Partial differential equation and Monotone polygon.

It tackles studies in Wavelet and the interrelated subject of Dc programming, Long range dependent and Rate of convergence to gain insights into Algorithm. Issues in Mathematical analysis were discussed, taking into consideration concepts from other disciplines like Amplitude, Vries equation and Plane (geometry). The study of Combinatorics encompasses disciplines such as Block (telecommunications), as well as fields such as Separable space, Convex optimization and Metric (mathematics), all of which overlap with one another.

The most cited articles from the last journal are:

• Neural ODEs as the Deep Limit of ResNets with constant weights (12 citations)
• Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform (12 citations)
• On Cucker-Smale dynamical systems with degenerate communication (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.

Top authors and change over time

The top authors publishing in Analysis and Applications (based on the number of publications) are:

• Roderick Wong (12 papers) absent at the last edition,
• Cristinel Mardare (9 papers) absent at the last edition,
• Philippe G. Ciarlet (9 papers) absent at the last edition,
• Mourad E. H. Ismail (9 papers) published 1 paper at the last edition the same number as at the previous edition,
• Ding-Xuan Zhou (9 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 Analysis and Applications (based on the number of publications) are:

• City University of Hong Kong (44 papers) published 1 paper at the last edition the same number as at the previous edition,
• Pierre-and-Marie-Curie University (17 papers) absent at the last edition,
• Sun Yat-sen University (12 papers) published 2 papers at the last edition the same number as at the previous edition,
• Beijing Normal University (12 papers) published 2 papers at the last edition,
• Wuhan University (12 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, 18.52% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 15.91% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.36% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 22.73% 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.