World's Best Scientists 2026 revealed!
Numerische Mathematik
H-index 20

Numerische Mathematik

0029-599X

Published by: Springer

https://www.springer.com/journal/211

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 71 98 141 20

Additional Metrics

Number of Best Scientists*: 112
Documents by Best Scientists*: 151
Top 100 Ranked Scientists*: 9
SCIMAGO H-index: 101
SCIMAGO SJR: 1.642
Impact Factor: 2.2

Overview

Top Research Topics at Numerische Mathematik?

The journal focuses largely on the fields of Numerical analysis, Mathematical analysis, Applied mathematics, Finite element method and Discretization. It explores issues in Numerical analysis which can be linked to other research areas like Combinatorics, Rate of convergence, Mathematical optimization, Nonlinear system and Algorithm. Studies on Combinatorics discussed in Numerische Mathematik link to the field of Matrix (mathematics).

The journal focuses on Mathematical analysis but the discussions also offer insight into other areas such as Eigenvalues and eigenvectors and Galerkin method. While Applied mathematics is the focus of the journal, it also provided insights into the studies of Iterative method, Estimator and Calculus. While it focused on Finite element method, it was also able to explore topics like Geometry and Elliptic curve.

Boundary value problem works presented in it have a specific focus on Mixed boundary condition. The journal explores research in Mixed finite element method and the adjacent study of Extended finite element method.

  • Numerical analysis (64.45%)
  • Mathematical analysis (53.98%)
  • Applied mathematics (26.28%)

What are the most cited papers published in the journal?

  • A note on two problems in connexion with graphs (18085 citations)
  • Smoothing Noisy Data with Spline Functions Estimating the Correct Degree of Smoothing by the Method of Generalized Cross-Validation* (2649 citations)
  • Singular value decomposition and least squares solutions (2420 citations)

Research areas of the most cited articles at Numerische Mathematik:

The most cited articles focus on Numerical analysis, Mathematical analysis, Applied mathematics, Finite element method and Partial differential equation. The journal publications explore issues in Numerical analysis which can be linked to other research areas like Combinatorics, Iterative method, Mathematical optimization, Algorithm and Nonlinear system. The most cited publications explore research in Mathematical analysis and the adjacent study of Rate of convergence.

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 topics of Numerical analysis, Applied mathematics, Finite element method, Discretization and Mathematical analysis are the focal point of discussions in Numerische Mathematik. The journal focuses on Numerical analysis but sometimes tackles the closely related topic of Limit (mathematics) which is concerned with Monte Carlo method. The studies on Applied mathematics discussed can also contribute to research in the domains of Discontinuous Galerkin method, Rate of convergence, Operator (computer programming) and Nonlinear system.

Finite element method research presented in it encompasses a variety of subjects, including Projection (linear algebra), Helmholtz equation and Bounded function. Numerische Mathematik explores topics in Discretization which can be helpful for research in disciplines like Algorithm, Neumann boundary condition and Lipschitz continuity. The journal covers various topics on Mathematical analysis such as Balanced flow and Cahn–Hilliard equation.

The most cited articles from the last journal are:

  • Numerical analysis for iterative filtering with new efficient implementations based on FFT (15 citations)
  • A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions (10 citations)
  • Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem (9 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 Numerische Mathematik (based on the number of publications) are:

  • Carsten Carstensen (47 papers) published 1 paper at the last edition,
  • Richard S. Varga (36 papers) absent at the last edition,
  • James Hardy Wilkinson (28 papers) absent at the last edition,
  • Ian H. Sloan (26 papers) absent at the last edition,
  • Wolfgang Hackbusch (25 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 Numerische Mathematik (based on the number of publications) are:

  • University of Maryland, College Park (86 papers) absent at the last edition,
  • Technical University of Berlin (58 papers) absent at the last edition,
  • University of Paris (57 papers) published 3 papers at the last edition, 2 less than at the previous edition,
  • Karlsruhe Institute of Technology (56 papers) published 2 papers at the last edition, 1 more than at the previous edition,
  • University of Hamburg (51 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, 9.33% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 13.24% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.76% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 11.76% of all publications and 63.24% 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

  • A Relaxed Kačanov iteration for the p -poisson problem

    Lars Diening;Massimo Fornasier;Roland Tomasi;Maximilian Wank

    (2020)
    49 Citations
  • A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field

    Ernst Hairer;Christian Lubich;Bin Wang

    (2020)
    43 Citations
  • Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field

    Ernst Hairer;Christian Lubich

    (2020)
    38 Citations
  • Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping

    Bangti Jin;Buyang Li;Zhi Zhou

    (2020)
    36 Citations
  • Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis

    Espen Sande;Carla Manni;Hendrik Speleers

    (2020)
    35 Citations
  • Unconditionally positivity preserving and energy dissipative schemes for Poisson–Nernst–Planck equations

    Jie Shen;Jie Xu

    (2021)
    32 Citations
  • Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis

    Annalisa Buffa;Jürgen Dölz;Stefan Kurz;Sebastian Schöps

    (2020)
    32 Citations
  • Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows

    Hongtao Chen;Jingjing Mao;Jie Shen;Jie Shen

    (2020)
    31 Citations
  • Exponential node clustering at singularities for rational approximation, quadrature, and PDEs

    Lloyd N. Trefethen;Yuji Nakatsukasa;J. A. C. Weideman

    (2021)
    31 Citations

Related Online Degrees & Career Pathways

While pursuing Mathematics in the USA offers a strong foundation in analytical and problem-solving skills, many students explore related fields to diversify their career opportunities. For those interested in business leadership, an online MBA under 30000 provides a cost-effective way to gain management expertise alongside a math background.

Another emerging area is digital marketing, where analytical skills can be applied to data-driven strategies. Enrolling in a social media marketing university program can prepare graduates for impactful roles in today’s digital economy.

For those interested in the service industry, combining math knowledge with operational skills through a hotel and restaurant management degree online is a practical option. This career path offers flexibility and opportunities in a growing global sector.

Finally, students seeking affordability and convenience might consider programs like the most affordable online MBA programs that require no GMAT. These options provide accessible routes to enhance business acumen without interrupting current commitments.

Best Scientists Contributing to This Journal

Recently Published Articles