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Applied Numerical Mathematics
H-index 27

Applied Numerical Mathematics

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 31 126 232 26

Additional Metrics

Number of Best Scientists*: 168
Documents by Best Scientists*: 273
Top 100 Ranked Scientists*: 15
SCIMAGO H-index: 91
SCIMAGO SJR: 0.941
Impact Factor: 2.4

Overview

Top Research Topics at Applied Numerical Mathematics?

The journal primarily tackles Mathematical analysis, Applied mathematics, Numerical analysis, Finite element method and Nonlinear system. It primarily discusses Mathematical analysis topics, particularly Partial differential equation, Boundary value problem, Differential equation, Discretization and Runge–Kutta methods. Research on Differential equation addressed in Applied Numerical Mathematics frequently intersections with the field of Initial value problem.

The work tackled in the journal goes beyond the discipline of Runge–Kutta methods as it also encompasses Numerical methods for ordinary differential equations. It explores issues in Applied mathematics which can be linked to other research areas like Stability (probability), Iterative method, Mathematical optimization, Norm (mathematics) and Rate of convergence. Iterative method research discussed connects with the study of Linear system.

The journal focuses on Numerical analysis but the discussions also offer insight into other areas such as Algorithm, Geometry, Finite difference method and Finite volume method. Mixed finite element method, Galerkin method and Extended finite element method are some of the study areas of Finite element method discussed.

  • Mathematical analysis (48.10%)
  • Applied mathematics (35.96%)
  • Numerical analysis (24.21%)

What are the most cited papers published in the journal?

  • Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations (870 citations)
  • Finite difference approximations for two-sided space-fractional partial differential equations (685 citations)
  • A fully discrete difference scheme for a diffusion-wave system (674 citations)

Research areas of the most cited articles at Applied Numerical Mathematics:

The published articles explore disciplines such as Mathematical analysis, Numerical analysis, Applied mathematics, Partial differential equation and Differential equation. The published papers connects research in Mathematical analysis with the related topics of Finite element method. The published articles focus on Numerical analysis but the discussions also offer insight into other areas such as Galerkin method, Nonlinear system, Iterative method, Algorithm and Convection–diffusion equation.

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

  • Quantum mechanics
  • Mathematical analysis
  • Statistics

The previous edition focused in particular on these issues:

Applied Numerical Mathematics tackles a plethora of topics, such as Applied mathematics, Nonlinear system, Mathematical analysis, Finite element method and Norm (mathematics). Issues in Applied mathematics were discussed, taking into consideration concepts from other disciplines like Scheme (mathematics), Stability (probability), Spacetime, Convection–diffusion equation and Discontinuous Galerkin method. Applied Numerical Mathematics explores topics in Nonlinear system which can be helpful for research in disciplines like Conservation of mass, Rate of convergence, Energy (signal processing) and Numerical analysis.

The journal facilitates discussions on Mathematical analysis that incorporate concepts from other fields like Boundary element method, Matrix (mathematics) and Computation. The study of A priori and a posteriori and how it intertwines with concepts under Galerkin method, Bilinear form, Projection (linear algebra) and Mean curvature flow were explored in the presented Finite element method research. Superconvergence and Rank (linear algebra) are some topics wherein Norm (mathematics) research discussed in the journal have an impact.

The most cited articles from the last journal are:

  • Convergence in the maximum norm of ADI-type methods for parabolic problems (2 citations)
  • Multilevel correction goal-oriented adaptive finite element method for semilinear elliptic equations (0 citations)
  • Stochastic discontinuous Galerkin methods with low–rank solvers for convection diffusion equations (0 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 Numerical Mathematics (based on the number of publications) are:

  • Mehdi Dehghan (33 papers) published 1 paper at the last edition, 3 less than at the previous edition,
  • Zdzislaw Jackiewicz (30 papers) absent at the last edition,
  • John C. Butcher (25 papers) absent at the last edition,
  • Rüdiger Weiner (24 papers) absent at the last edition,
  • Lothar Reichel (21 papers) published 1 paper at the last edition, 5 less 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.

Only papers with recognized affiliations are considered

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

  • Chinese Academy of Sciences (52 papers) published 1 paper at the last edition, 4 less than at the previous edition,
  • Arizona State University (43 papers) absent at the last edition,
  • University of Valladolid (41 papers) absent at the last edition,
  • Martin Luther University of Halle-Wittenberg (37 papers) absent at the last edition,
  • University of Auckland (36 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 2022 edition, 24.32% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 7.14% were posted by at least one author from the top 10 institutions publishing in the journal. Another 10.71% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 10.71% of all publications and 71.43% 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

  • Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives

    Zaid Odibat;Dumitru Baleanu;Dumitru Baleanu

    (2020)
    159 Citations
  • Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature

    Pratibhamoy Das;Subrata Rana;Jesus Vigo-Aguiar

    (2020)
    105 Citations
  • Collocation methods for terminal value problems of tempered fractional differential equations

    Babak Shiri;Guo-Cheng Wu;Dumitru Baleanu

    (2020)
    98 Citations
  • A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives

    M.M. Khader;M.M. Khader;Khaled M. Saad;Khaled M. Saad;Zakia Hammouch;Dumitru Baleanu;Dumitru Baleanu

    (2021)
    84 Citations
  • Projection methods with alternating inertial steps for variational inequalities: Weak and linear convergence

    Yekini Shehu;Yekini Shehu;Olaniyi S. Iyiola

    (2020)
    73 Citations
  • Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method

    Shaher Momani;Shaher Momani;Nadir Djeddi;Mohammed Al-Smadi;Mohammed Al-Smadi;Shrideh Al-Omari

    (2021)
    51 Citations
  • Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative

    M.H. Heydari

    (2020)
    45 Citations
  • Terminal value problems for the nonlinear systems of fractional differential equations

    Babak Shiri;Guo–Cheng Wu;Dumitru Baleanu

    (2021)
    44 Citations
  • Numerical solutions of hybrid fuzzy differential equations in a Hilbert space

    G. Gumah;M.F.M. Naser;M. Al-Smadi;S.K.Q. Al-Omari

    (2020)
    41 Citations

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