journal: Journal of Numerical Mathematics

Impact Factor: 3.0

Veröffentlicht seit 1. März 2001

Journal of Numerical Mathematics

ISSN: 1569-3953

Editor-in-Chief: Maxim Olshanskiy

Managing Editor: Andrea Bonito

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Über diese Zeitschrift

Objective
The Journal of Numerical Mathematics (formerly East-West Journal of Numerical Mathematics) contains high-quality papers featuring contemporary research in all areas of Numerical Mathematics. This includes the development, analysis, and implementation of new and innovative methods in Numerical Linear Algebra, Numerical Analysis, Optimal Control/Optimization, and Scientific Computing. The journal will also publish applications-oriented papers with significant mathematical content in computational fluid dynamics and other areas of computational engineering, finance, and life sciences.

Topics

Numerical Mathematics
Computational Mathematics
Applied Mathematics
Numerical Linear Algebra
Numerical Analysis
Optimal Control/Optimization
Scientific Computing
Computational Fluid Dynamics
Finance
Life Sciences

Article formats
Original research articles

Information on Submission Process

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Band 31 Heft 3

September 2023

Öffentlich zugänglich 5. September 2023

Frontmatter

Seiten: i-iii

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14. September 2022

A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow

Shangyou Zhang

Seiten: 157-173

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Abstract

The linear nonconforming finite element, combined with constant finite element for pressure, is stable for the Stokes problem. But it does not satisfy the discrete Korn inequality. The linear conforming finite element satisfies the discrete Korn inequality, but is not stable for the Stokes problem and fails for the nearly incompressible elasticity problems. We enrich the linear conforming finite element by some nonconforming P1 bubbles, i.e., select a subspace of the linear nonconforming finite element space, so that the resulting linear nonconforming element is both stable and conforming enough to satisfy the Korn inequality, on HTC-type triangular and tetrahedral grids. Numerical tests in 2D and 3D are presented, confirming the analysis.

3. August 2022

An all Mach number finite volume method for isentropic two-phase flow

Mária Lukáčová-Medvid’ová, Gabriella Puppo, Andrea Thomann

Seiten: 175-204

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Abstract

We present an implicit–explicit finite volume scheme for isentropic two phase flow in all Mach number regimes. The underlying model belongs to the class of symmetric hyperbolic thermodynamically compatible models. The key element of the scheme consists of a linearisation of pressure and enthalpy terms at a reference state. The resulting stiff linear parts are integrated implicitly, whereas the non-linear higher order and transport terms are treated explicitly. Due to the flux splitting, the scheme is stable under a CFL condition which is determined by the resolution of the slow material waves and allows large time steps even in the presence of fast acoustic waves. Further the singular Mach number limits of the model are studied and the asymptotic preserving property of the scheme is proven. In numerical simulations the consistency with single phase flow, accuracy and the approximation of material waves in different Mach number regimes are assessed.

20. Januar 2023

Adaptive POD-DEIM correction for Turing pattern approximation in reaction–diffusion PDE systems

Alessandro Alla, Angela Monti, Ivonne Sgura

Seiten: 205-229

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Abstract

We investigate a suitable application of Model Order Reduction (MOR) techniques for the numerical approximation of Turing patterns, that are stationary solutions of reaction–diffusion PDE (RD-PDE) systems. We show that solutions of surrogate models built by classical Proper Orthogonal Decomposition (POD) exhibit an unstable error behaviour over the dimension of the reduced space. To overcome this drawback, first of all, we propose a POD-DEIM technique with a correction term that includes missing information in the reduced models. To improve the computational efficiency, we propose an adaptive version of this algorithm in time that accounts for the peculiar dynamics of the RD-PDE in presence of Turing instability. We show the effectiveness of the proposed methods in terms of accuracy and computational cost for a selection of RD systems, i.e., FitzHugh–Nagumo, Schnakenberg and the morphochemical DIB models, with increasing degree of nonlinearity and more structured patterns.

22. August 2023

The deal.II Library, Version 9.5

Daniel Arndt, Wolfgang Bangerth, Maximilian Bergbauer, Marco Feder, Marc Fehling, Johannes Heinz, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Peter Munch, Jean-Paul Pelteret, Bruno Turcksin, David Wells, Stefano Zampini

Seiten: 231-246

Mehr

Abstract

This paper provides an overview of the new features of the finite element library deal.II , version 9.5.

Ahead-of-Print / Just-Accepted

Ahead-of-Print / Just-Accepted

Band 31 (2023)

Band 30 (2022)

Band 29 (2021)

Band 28 (2020)

Band 27 (2019)

Band 26 (2018)

Band 25 (2017)

Band 24 (2016)

Band 23 (2015)

Band 22 (2014)

Band 21 (2013)

Band 20 (2012)

Band 19 (2011)

Band 18 (2010)

Band 17 (2009)

Band 16 (2008)

Band 15 (2007)

Band 14 (2006)

Band 13 (2005)

Band 12 (2004)

Band 11 (2003)

Band 10 (2002)

Band 9 (2001)

Journal Impact Factor	3.0	2022, Journal Citation Reports (Clarivate, 2023)
5-year Journal Impact Factor	2.7	2022, Journal Citation Reports (Clarivate, 2023)
Journal Citation Indicator	2.09	2022, Journal Citation Reports (Clarivate, 2023)
CiteScore	6.6	2022, Scopus (Elsevier B.V., 2023)
SCImago Journal Rank	1.560	2022, SJR (Scimago Lab, 2023; Data Source: Scopus)
Source Normalized Impact per Paper	2.099	2022, CWTS Journal Indicators (CWTS B.V., 2023; Data Source: Scopus)
Mathematical Citation Quotient	1.75

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Submission process

Submit your article via our Online Submission Tool following our Instructions for Authors
The authors can provide the names and e-mail addresses of up to four potential reviewers
The decision on the acceptance is taken after a peer-reviewing procedure
Each article must begin with an abstract of less than 150 words. The abstract must be followed by an appropriate classification according to MSC 2010 (Mathematics Subject Classification) and a list of 3 to 6 keywords. The short title for the running head should contain at most 80 characters, spaces inclusive
Authors are asked to follow a few basic guidelines while formatting their paper for publication, in order for the journal to be as homogeneous in appearance as possible. Please download the LaTeX class file and the respective sample file including the instructions for formatting here
The affiliation, postal and electronic addresses of all authors should be placed at the very end of the paper
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Provide a short descriptive title and a legend to make each figure self-explanatory. Explain all symbols used in the figures. Remember to use the same abbreviations as in the text body
Authors are encouraged to submit illustrations in color if necessary for their scientific content
References should be collected at the end of the paper, numbered with Arabic numerals in alphabetical order of the authors' names and surrounded by square brackets. Please use abbreviations for titles of journals in accordance with those listed in Mathematical Reviews.
o Articles in journals:　
[1] A. Carbonaro, G. Metafune and C. Spina, Parabolic Schrödinger operators, J. Math
Anal. and Appl. 343 (2008), 965-974.
o Articles ahead of print:　
[2] D. Farley and L. Sabalka, Presentations of graph braid groups, Forum Math. (2010), doi: 10.1515/FORM.2011.086.
o Books and Monographs:　
[3] I. M. Isaacs, Character theory of finite groups, AMS Chelsea Publishing, 2006.
o Chapters:　
[4] T. De Medts, F. Haot, R. Knop and H. Van Maldeghem, On the uniqueness of the unipotent subgroups of some Moufang sets, in: Finite Geometries, Groups, and Computation, pp. 43-66, de Gruyter, Berlin, 2006.

Galley proofs will be sent to all authors in due time with a request to carefully check them
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Contributions submitted to this journal must be written in clear and concise English
Only unpublished material can be accepted, and authors may not republish their paper in the same or similar form
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Hybrid Open Access

In this journal, authors have the option to publish their article under an open access license. Open Access allows you as an author to retain copyright and share your findings with colleagues and interested parties worldwide without any restraints.
Please note that authors from institutions with which we have a transformative agreement can publish open access without paying an article processing charge (APC). More information on the eligible institutions and articles can be found under the "Funding and Support" tab here.

Editorial

Editor-in-Chief
Maxim Olshanskii, Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA
molshan@math.uh.edu

Managing Editor
Andrea Bonito, Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA
bonito@math.tamu.edu

Editorial Advisory Board

Markus Bachmayr, Institut für Geometrie und Praktische Mathematik
Michele Benzi, Scuola Normale Superiore di Pisa
Susanne Brenner, Louisiana State University
Erik Burman, University College London
Carsten Carstensen, Humboldt University of Berlin
Miloslav Feistauer, Charles University in Prague
Simon Foucart, Texas A&M University
Jean-Luc Guermond, Texas A&M University
Johnny Guzman, Brown University
Daniel Kressner, EPFL
Christoph Lehrenfeld, University of Gottingen
Frédéric Nataf, Sorbonne University
Michael Neilan, University of Pittsburgh
Fabio Nobile, EPFL
Alfio Quarteroni, Politecnico di Milan
Sergey Repin, Russian Academy of Science
Arnold Reusken, RWTH Aachen University
Leo Rebholz, Clemson University
Valeria Simoncini, University of Bologna
Martin Stoll, TU Chemnitz
Eugene Tyrtyshnikov, Russian Academy of Science
Stefan Volkwein, University of Konstanz
Shawn Walker, Louisiana State University
Jun Zou, The Chinese University of Hong Kong

Honorary Founding Editor
Yuri A. Kuznetsov, University of Houston

Honorary Members
Ronald Hoppe, University of Augsburg
Raytcho Lazarov, Texas A&M University
Pekka Neittaanmäki, University of Jyväskylä
Olivier Pironneau, French Academy of Sciences
Rolf Rannacher, Heidelberg University
Zhong-ci Shi, Chinese Academy of Sciences

(English)

Online ISSN: 1569-3953
Print ISSN: 1570-2820
Typ: Zeitschrift
Sprache: Englisch
Verlag: De Gruyter
Erstveröffentlichung: 1. März 2001
Erscheinungsweise: 4 Hefte pro Jahr
Zielgruppe: Researchers and practitioners of all disciplines related to Numerical Mathematics