Journal profile · MATHEMATICS, APPLIED
Partial Differential Equations and Applications
ISSN 2662-2963 · eISSN 2662-2971 · Springer Nature
Partial Differential Equations and Applications: CAS Zone 4 · Mathematics (2026 Xinrui edition); impact factor 2.6 (journal website); hybrid open access; APC about USD 3,090; median 180 days to acceptance (98 articles, last 24 months); 57 articles in 2025; indexed in ESCI and Scopus.
Scope
Aims, scope and focus
Partial Differential Equations and Applications is published by Springer Nature and is classed under Mathematics in the CAS Journal Ranking. By OpenAlex counts of its recent articles, its largest topics are Nonlinear Partial Differential Equations, Advanced Mathematical Physics Problems and Advanced Mathematical Modeling in Engineering, together about 39.3% of its articles. Its main subfields are Applied Mathematics. (generated from OpenAlex topic counts and CAS ranking data)
Partial Differential Equations and Applications (PDEA) offers a single platform for all PDE-based research, bridging the areas of Mathematical Analysis, Computational Mathematics and applications of Mathematics in the Sciences. It thus encourages and amplifies the transfer of knowledge between scientists with different backgrounds and from different disciplines who study, solve or apply the same types of equations. PDEA accepts both original research as well as review articles of high quality, providing thorough and fast peer-review. The journal is organized in three sections: Theory of PDEs Covering topics in elliptic, parabolic and hyperbolic PDEs, PDEs on manifolds, fractional PDEs, calculus of variations, functional analysis, ODEs and a range of further topics from Mathematical Analysis. Computational approaches to PDEs Covering all areas in Numerical Analysis and Computational Mathematics with relation to PDEs. Here the main emphasis is on the numerical method, rather than the particular application. Applications of PDEs in the sciences Covering applications in Mathematical Physics, Chemistry, Biology, Engineering, and also in the Life- and Social-Sciences. Both analytic and computational methods are welcome. As a bridge between the different communities, the journal further invites dedicated Knowledge Transfer Papers: These may be interdisciplinary review papers highlighting different perspectives on the same type of equation, discussions of open problems and challenges in one community inviting research activity from another, and reviews of recent results written for non-experts amplifying the dissemination of knowledge. PDEA offers Topical Collections designed to consolidate publications of a specific research topic. Articles can be either released as direct papers or within a Topical Collection. .
From the journal's Aims & Scope
Research area (LetPub): MATHEMATICS, APPLIED
Editor-in-chief Zhitao ZhangPublisher website
Editorial board by country: 6 in mainland China (about 20%); most named Mainland China 6, United States 4, Germany 4, United Kingdom 3, Japan 3 (30 members with a country) Editorial board ↗Publisher website ·
Main research topics OpenAlex counts of recent articles; shares are approximate
- Nonlinear Partial Differential EquationsMathematics13.7%
- Advanced Mathematical Physics ProblemsMathematics13.5%
- Advanced Mathematical Modeling in EngineeringComputer Science12.1%
- Stability and Controllability of Differential EquationsEngineering6.6%
- Navier-Stokes equation solutionsMathematics5.4%
- Nonlinear Waves and SolitonsPhysics and Astronomy5.3%
- Numerical methods in inverse problemsMathematics4.9%
- Nonlinear Differential Equations AnalysisMathematics4.4%
Rankings & indexing
CAS ranking and database indexing
CAS Journal Ranking
CAS Journal Ranking, upgraded edition (March 2025)Not covered
Not covered by this edition.
CAS Xinrui Journal Ranking (March 2026)Mathematics Zone 4
| Level | Category | Zone |
|---|---|---|
| Major | Mathematics | Zone 4 |
| Minor | Mathematics, Applied | Zone 4 |
Top journal: noReview journal: not marked
CAS Journal Ranking, previous upgraded edition (December 2023)Not covered
Not covered by this edition.
Database indexing
ESCIScopusLetPub
International journal early-warning lists: not listed in any editionLetPub
Indexing the journal's website claims
zbMATHPublisher website
Other: Google Scholar, EBSCO, ProQuest, Dimensions, CNKI, Baidu, Naver, OCLC, Portico, CLOCKSS, RePEc
As the journal's website lists them, not checked against each database; for Web of Science editions the records above apply.
Editions, and major and minor categories, are shown separately and never merged into one zone; check which edition your institution uses before you submit or report.
Metrics
Impact metrics and publication volume
Impact
- Impact factor (publisher) 2025
- 2.6Publisher website ·
- 5-year impact factor (publisher) 2025
- 1.8Publisher website ·
- CiteScore 2026-06
- 1.7LetPub ·
- SJR 2026-06
- 0.65LetPub ·
- SNIP 2026-06
- 0.93LetPub ·
- h-index
- 15OpenAlex ·
- i10-index
- 41OpenAlex ·
- 2-year mean citedness
- 0.89OpenAlex ·
- Self-citation rate
- 0%LetPub ·
- Share of gold OA articles
- 32.62%LetPub ·
Volume
- Articles per year
- 57LetPub ·
- Downloads per year (publisher) 2025
- 75,500Publisher website ·
Articles by year OpenAlex count · 453 in total · the current year is incomplete
| Year | Articles | Open access | Citations |
|---|---|---|---|
| 2026 | 42 | 20 | 6 |
| 2025 | 57 | 21 | 45 |
| 2024 | 53 | 13 | 85 |
| 2023 | 48 | 27 | 126 |
| 2022 | 78 | 32 | 287 |
| 2021 | 91 | 44 | 557 |
Sources count differently and were observed at different times, so each source's own value is kept; "publisher" marks figures from the journal's website.
Review & acceptance
Review time and acceptance
Review time from article dates manuscript dates registered with Crossref · to
180 daysMedian, submission to acceptance · P25–P75 109 days – 276 days
- Acceptance to online
- median 26 days (98 articles)
- Submission to online
- median 206 days
- Sample
- 98 articles with submission and acceptance dates (102 in the window); the latest was accepted on
Only articles that were accepted and published are counted, not the time spent on rejected manuscripts, so this usually runs longer than a publisher's "time to first decision".
Other sources
- Submission to first decision
- 16 daysPublisher website ·
- Peer review
- Single anonymous peer review, Double anonymous peer reviewPublisher website
Community reports come from authors' own submissions (confidence 0.5) and are not a promise from the journal; for publisher figures, the journal's own definitions apply.
Fees & open access
APC and open-access policy
Hybrid open accessLetPub
A subscription journal in which authors can pay to publish their article open access.
| Source | APC | Fee waiver | License | Observed |
|---|---|---|---|---|
| OpenAlex | USD 3,090 / EUR 2,490 / GBP 2,190 | — | — |
A hybrid journal charges the APC only when the author chooses open access; publishing under the subscription model is usually free.
The journal's website is authoritative for fees; sources were observed at different times and each keeps its own value, without averaging.
Submission
Article types and submission policies (journal website)
What to prepare4 items from the author guidelines
- Abstract
- 150–250 words
- Keywords
- ≥ 4
- Reference style
- Numbered, in order of citation
- Suggested reviewers
- Optional
Article types accepted1
- editorialSingle-blind peer review This journal follows a single-blind reviewing procedure. This journal also publishes special/guest-edited issues. The peer review proce…Length not stated
Policy excerpts from the journal's websiteAI use, Conflicts of interest, Data availability, Publication ethics, License & copyright, Open access, Peer review
- AI use Generative AI Images
Please check Springer’s policy on generative AI images and make sure your work adheres to the principles described therein. Back to top
Source ↗Publisher website ·- Conflicts of interest Competing Interests
Authors are requested to disclose interests that are directly or indirectly related to the work submitted for publication. Interests within the last 3 years of beginning the work (conducting the research and preparing the work for submission) should be reported. Interests outside the 3-year time frame must be disclosed if they could reasonably be perceived as influencing the submitted work. Disclo…
Source ↗Publisher website ·- Data availability Data availability statements
Data availability statement required Model summary
All original research must include a data availability statement. This statement should explain how to access data supporting the results and analysis in the article, including links/citations to publicly archived datasets analysed or generated during the study. Please see our full policy here. If it is not possible to share research data publicly, for instance when individual privacy could be com…
Source ↗Publisher website ·- Publication ethics
Competing interests disclosure required Model summary
Authors are required to disclose financial or non-financial interests that are directly or indirectly related to the work submitted for publication.
Source ↗Publisher website ·- License & copyright Copyright
Permissions required for previously published material Model summary
Open Choice articles do not require transfer of copyright as the copyright remains with the author. In opting for open access, the author(s) agree to publish the article under a Creative Commons license. Details of the OA licences offered to authors can be found on the individual journal website, in the journal's How to publish with us guide. Back to top
Source ↗Publisher website ·- Open access Open access publishing
To find out more about publishing your work Open Access in Partial Differential Equations and Applications, including information on fees, funding and licences, visit our Open access publishing page. Back to top
Source ↗Publisher website ·- Peer review Single-blind peer review
Single-blind peer review Model summary
This journal follows a single-blind reviewing procedure. This journal also publishes special/guest-edited issues. The peer review process for these articles is the same as the peer review process of the journal in general. Additionally, if a guest editor authors an article in their issue/collection, they will not handle the peer review process.
Source ↗Publisher website ·
Excerpts are quoted from the journal's website; "model summary" lines are written by Workers AI and checked against the text. The journal's website is authoritative.
Profile
Publication details and official links
- Publisher
- Springer Nature
- ISSN
- 2662-2963
- Electronic ISSN
- 2662-2971
- Official links
- Journal homepage ↗OpenAlex
- Submission system ↗Publisher website
- Special issues ↗Publisher website
FAQ
Frequently asked questions about Partial Differential Equations and Applications
What CAS zone is Partial Differential Equations and Applications in?
In the 2026 Xinrui edition it is in Zone 4 of Mathematics. Zones from different editions, and from major and minor categories, are not interchangeable.
What is the impact factor of Partial Differential Equations and Applications?
The journal's website gives an impact factor of 2.6 (2025); this is the journal's own figure, as LetPub lists none for it; CiteScore 1.7, h-index 15.
How long does peer review take at Partial Differential Equations and Applications?
Based on the dates recorded on 98 articles published between October 2024 and October 2026 (the last 24 months), the median time from submission to acceptance is 180 days (interquartile range 109–276 days). Article statistics cover accepted papers only, publisher figures follow the journal's own definitions, and community reports come from authors' own submissions; none is a promise from the journal.
What are the manuscript requirements of Partial Differential Equations and Applications?
According to the journal's author guidelines: Abstract: 150–250 words; Keywords: ≥ 4; Reference style: Numbered, in order of citation; Suggested reviewers: Optional. A model extracted these from the author guidelines and each was checked against the text; check the latest version on the journal's website before submitting.
Where are the editorial board members of Partial Differential Equations and Applications based?
Of the 30 board members whose country the journal's board page names, 6 (about 20%) are in mainland China; the countries named most often are Mainland China (6), United States (4) and Germany (4). Counted from the institutions listed on the board page; for reference only.
Which databases index Partial Differential Equations and Applications?
According to LetPub and DOAJ records, Partial Differential Equations and Applications is indexed in ESCI and Scopus. The journal's website also lists zbMATH; that list has not been checked against each database.
Is Partial Differential Equations and Applications open access, and what is the APC?
Partial Differential Equations and Applications is a hybrid journal. For open-access publication: APC about USD 3,090.
Sources and updates
The facts on this page come from LetPub, OpenAlex, Publisher website; every figure is tagged with its source and the date it was observed, and conflicting values are kept per source. LetPub source page: view ↗ (archived 2026-08-25). Last updated: .