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Applied Mathematics and Optimization
H-index 20

Applied Mathematics and Optimization

0095-4616

Published by: Springer

https://www.springer.com/journal/245

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 92 85 142 18
Engineering and Technology 1115 13 22 6

Additional Metrics

Number of Best Scientists*: 112
Documents by Best Scientists*: 169
Top 100 Ranked Scientists*: 3
SCIMAGO H-index: 57
SCIMAGO SJR: 0.957
Impact Factor: 1.7

Overview

Top Research Topics at Applied Mathematics and Optimization?

Applied Mathematics and Optimization was organized to reinforce research efforts on Mathematical analysis, Applied mathematics, Mathematical optimization, Optimal control and Nonlinear system. The work on Mathematical analysis addressed in it expands to the thematically related Boundary (topology). While Applied mathematics is the focus of the journal, it also provided insights into the studies of Convergence (routing), Markov process and Class (set theory).

Discussions in Applied Mathematics and Optimization are anchored in the subject of Markov process and the similar topic of Markov chain. The journal focuses on different Mathematical optimization studies like Bellman equation, Optimization problem and Dynamic programming. Bellman equation study tackled is connected to the field of Viscosity solution.

The journal focuses on Optimal control research as part of the broader topic of Control theory. The Stochastic differential equation study featured in the journal draws parallels with the field of Stochastic partial differential equation.

  • Mathematical analysis (44.30%)
  • Applied mathematics (22.03%)
  • Mathematical optimization (20.80%)

What are the most cited papers published in the journal?

  • A Strong Maximum Principle for some quasilinear elliptic equations (946 citations)
  • The internal model principle for linear multivariable regulators (896 citations)
  • Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework (739 citations)

Research areas of the most cited articles at Applied Mathematics and Optimization:

Mathematical analysis, Mathematical optimization, Optimal control, Applied mathematics and Nonlinear system are the main subjects of interest in the journal publications. The published articles investigate Mathematical analysis research which frequently intersects with Boundary (topology). The published articles focus on Optimal control but sometimes tackle the closely related topic of Bellman equation which is concerned with Viscosity solution.

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

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

The previous edition focused in particular on these issues:

The objective of Applied Mathematics and Optimization is to combine knowledge in the areas of Applied mathematics, Mathematical analysis, Optimal control, Nonlinear system and Mathematical optimization. While work presented in it provided substantial information on Applied mathematics, it also covered topics in State (functional analysis), Type (model theory), Uniqueness and Stochastic control. Applied Mathematics and Optimization explores topics in Mathematical analysis which can be helpful for research in disciplines like Exponential stability and Compressibility.

The journal dives deep in exploring the relationship between the study of Optimal control and Control variable. Some problems in Nonlinear system that were presented in Applied Mathematics and Optimization overlapped with concepts under Partial differential equation and Attractor. The Mathematical optimization works, particularly on Bellman equation are tackled in the journal.

The most cited articles from the last journal are:

  • Long-Time Dynamics and Optimal Control of a Diffuse Interface Model for Tumor Growth (43 citations)
  • Perspectives on Characteristics Based Curse-of-Dimensionality-Free Numerical Approaches for Solving Hamilton–Jacobi Equations (33 citations)
  • Optimal Distributed Control of a Cahn–Hilliard–Darcy System with Mass Sources (33 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 Applied Mathematics and Optimization (based on the number of publications) are:

  • Irena Lasiecka (21 papers) published 1 paper at the last edition,
  • Roberto Triggiani (19 papers) published 3 papers at the last edition, 2 more than at the previous edition,
  • Gopinath Kallianpur (17 papers) absent at the last edition,
  • Viorel Barbu (15 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Alain Bensoussan (15 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.

Only papers with recognized affiliations are considered

The top affiliations publishing in Applied Mathematics and Optimization (based on the number of publications) are:

  • University of Paris (40 papers) published 3 papers at the last edition, 2 more than at the previous edition,
  • Polish Academy of Sciences (37 papers) published 4 papers at the last edition,
  • University of California, Los Angeles (35 papers) published 1 paper at the last edition,
  • French Institute for Research in Computer Science and Automation (29 papers) absent at the last edition,
  • University of Minnesota (28 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, 4.40% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 5.86% were posted by at least one author from the top 10 institutions publishing in the journal. Another 10.88% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 14.23% of all publications and 69.04% 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

  • Convergence of Stochastic Proximal Gradient Algorithm

    Lorenzo Rosasco;Lorenzo Rosasco;Silvia Villa;Bằng Công Vũ

    (2020)
    122 Citations
  • Long-Time Dynamics and Optimal Control of a Diffuse Interface Model for Tumor Growth

    Cecilia Cavaterra;Elisabetta Rocca;Hao Wu

    (2021)
    55 Citations
  • Nonlocal Kirchhoff Problems with Singular Exponential Nonlinearity

    Xiang Mingqi;Vicenţiu D. Rădulescu;Vicenţiu D. Rădulescu;Binlin Zhang

    (2021)
    50 Citations
  • Large Deviation Principles of Obstacle Problems for Quasilinear Stochastic PDEs

    Anis Matoussi;Wissal Sabbagh;Tusheng Zhang

    (2021)
    43 Citations
  • Controllability and Optimal Control for a Class of Time-Delayed Fractional Stochastic Integro-Differential Systems

    T. Sathiyaraj;JinRong Wang;JinRong Wang;P. Balasubramaniam

    (2021)
    42 Citations
  • Generalized Penalty Method for Elliptic Variational–Hemivariational Inequalities

    Yi-bin Xiao;Mircea Sofonea

    (2021)
    40 Citations
  • Normalized Solutions of Nonautonomous Kirchhoff Equations: Sub- and Super-critical Cases

    Sitong Chen;Vicenţiu D. Rădulescu;Vicenţiu D. Rădulescu;Xianhua Tang

    (2021)
    36 Citations
  • Optimal Distributed Control of Two-Dimensional Nonlocal Cahn–Hilliard–Navier–Stokes Systems with Degenerate Mobility and Singular Potential

    Sergio Frigeri;Maurizio Grasselli;Jürgen Sprekels

    (2020)
    35 Citations
  • Recursive Utility Processes, Dynamic Risk Measures and Quadratic Backward Stochastic Volterra Integral Equations

    Hanxiao Wang;Jingrui Sun;Jiongmin Yong

    (2021)
    35 Citations
  • Stochastic Graphon Games: II. The Linear-Quadratic Case

    (2021)
    34 Citations

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