Mathematical Methods in the Applied Sciences

Top Research Topics at Mathematical Methods in The Applied Sciences?

The journal aims to foster the development of research in Mathematical analysis, Applied mathematics, Boundary value problem, Nonlinear system and Partial differential equation. The Mathematical analysis study tackled is a key component of adjacent topics in the area of Boundary (topology). The journal holds forums on Applied mathematics that merges themes from other disciplines such as Calculus and Stability (probability).

Boundary value problem works presented in Mathematical Methods in The Applied Sciences have a specific focus on Mixed boundary condition.

• Mathematical analysis (48.33%)
• Applied mathematics (18.99%)
• Boundary value problem (14.02%)

What are the most cited papers published in the journal?

• Vector potentials in three-dimensional non-smooth domains (661 citations)
• Thin elastic and periodic plates (278 citations)
• On the boundary value problem of the biharmonic operator on domains with angular corners (251 citations)

Research areas of the most cited articles at Mathematical Methods in The Applied Sciences:

The journal papers primarily tackle Mathematical analysis, Boundary value problem, Partial differential equation, Applied mathematics and Nonlinear system. The journal publications focus on Mathematical analysis research which is adjacent to topics in Boundary (topology). The most cited publications focus on Applied mathematics as well as the interrelated topics of Mathematical optimization.

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 aim of Mathematical Methods in The Applied Sciences is to expand the discussion of research in Applied mathematics, Mathematical analysis, Pure mathematics, Nonlinear system and Fractional calculus. While work presented in it provided substantial information on Applied mathematics, it also covered topics in Convergence (routing), Stability (probability), Uniqueness, Differential equation and Order (group theory). The study on Mathematical analysis featured in it expounds on the topic of Boundary value problem in particular.

Most of the Pure mathematics studies addressed also intersect with Type (model theory).

The most cited articles from the last journal are:

• Vibration analysis of carbon nanotube-reinforced composite microbeams (41 citations)
• Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels (35 citations)
• On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique (32 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 Mathematical Methods in The Applied Sciences (based on the number of publications) are:

• Dumitru Baleanu (53 papers) published 21 papers at the last edition, 3 more than at the previous edition,
• Hari M. Srivastava (27 papers) published 4 papers at the last edition, 1 less than at the previous edition,
• Yong Zhou (25 papers) published 5 papers at the last edition, 1 less than at the previous edition,
• Wolfgang L. Wendland (23 papers) published 1 paper at the last edition,
• Theodore E. Simos (23 papers) published 6 papers at the last edition, 1 more than at the previous 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 Mathematical Methods in The Applied Sciences (based on the number of publications) are:

• King Abdulaziz University (88 papers) published 24 papers at the last edition, 11 more than at the previous edition,
• University of Stuttgart (83 papers) published 1 paper at the last edition, 1 less than at the previous edition,
• China Medical University (Taiwan) (74 papers) published 29 papers at the last edition, 11 more than at the previous edition,
• University of Aveiro (63 papers) published 5 papers at the last edition, 3 more than at the previous edition,
• Harbin Institute of Technology (61 papers) published 12 papers at the last edition, 8 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, 3.46% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 10.39% were posted by at least one author from the top 10 institutions publishing in the journal. Another 4.72% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 10.48% of all publications and 74.41% 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.