Journal profile · Mathematics
Calculus of Variations and Partial Differential Equations
ISSN 0944-2669 · eISSN 1432-0835 · Springer Berlin Heidelberg · UNITED STATES · Monthly · Founded 1993
Calculus of Variations and Partial Differential Equations: CAS Zone 1 · Mathematics (2025 upgraded edition, Top journal); impact factor 2.04; hybrid open access; APC about USD 3,190; median 226 days to acceptance (104 articles, last 24 months); community-reported acceptance: easy; 306 articles in 2025; indexed in SCIE and Scopus.
Scope
Aims, scope and focus
Calculus of Variations and Partial Differential Equations is published by Springer Berlin Heidelberg and is in Zone 1 of Mathematics in the CAS Journal Ranking (2025 upgraded edition, Top journal). By OpenAlex counts of its recent articles, its largest topics are Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering and Geometric Analysis and Curvature Flows, together about 53.3% of its articles. Its main subfields are Applied Mathematics and Mathematical Physics. (generated from OpenAlex topic counts and CAS ranking data)
Calculus of variations and partial differential equations are classical, very active, closely related areas of mathematics, with important ramifications in differential geometry and mathematical physics. In the last four decades this subject has enjoyed a flourishing development worldwide, which is still continuing and extending to broader perspectives. This journal will attract and collect many of the important top-quality contributions to this field of research, and stress the interactions between analysts, geometers, and physicists. The field of Calculus of Variations and Partial Differential Equations is extensive; nonetheless, the journal will be open to all interesting new developments. Topics to be covered include: • Minimization problems for variational integrals, existence and regularity theory for minimizers and critical points, geometric measure theory • Variational methods for partial differential equations, linear and nonlinear eigenvalue problems, bifurcation theory • Variational problems in differential and complex geometry • Variational methods in global analysis and topology • Dynamical systems, symplectic geometry, periodic solutions of Hamiltonian systems • Variational methods in mathematical physics, nonlinear elasticity, crystals, asymptotic variational problems, homogenization, capillarity phenomena, free boundary problems and phase transitions • Monge-Ampère equations and other fully nonlinear partial differential equations related to problems in differential geometry, complex geometry, and physics.
From the journal's Aims & Scope
Research area (LetPub): Mathematics
Editor-in-chief Andrea MondinoPublisher website
Editorial board by country: none in mainland China; most named United States 7, United Kingdom 4, Germany 4, Australia 2, Switzerland 2 (22 members with a country) Editorial board ↗Publisher website ·
Main research topics OpenAlex counts of recent articles; shares are approximate
- Nonlinear Partial Differential EquationsMathematics22%
- Advanced Mathematical Modeling in EngineeringComputer Science15.9%
- Geometric Analysis and Curvature FlowsMathematics15.3%
- Geometry and complex manifoldsMathematics6.4%
- Advanced Mathematical Physics ProblemsMathematics5.5%
- Numerical methods in inverse problemsMathematics4.8%
- Nonlinear Differential Equations AnalysisMathematics2.9%
- Navier-Stokes equation solutionsMathematics2.7%
Rankings & indexing
CAS ranking and database indexing
CAS Journal Ranking
CAS Journal Ranking, upgraded edition (March 2025)Mathematics Zone 1
| Level | Category | Zone |
|---|---|---|
| Major | Mathematics | Zone 1 |
| Minor | Mathematics, Applied | Zone 1 |
| Minor | Mathematics | Zone 2 |
Top journal: yesReview journal: no
CAS Xinrui Journal Ranking (March 2026)Mathematics Zone 2
| Level | Category | Zone |
|---|---|---|
| Major | Mathematics | Zone 2 |
| Minor | Mathematics, Applied | Zone 2 |
| Minor | Mathematics | Zone 2 |
Top journal: yesReview journal: not marked
CAS Journal Ranking, previous upgraded edition (December 2023)Mathematics Zone 2
| Level | Category | Zone |
|---|---|---|
| Major | Mathematics | Zone 2 |
| Minor | Mathematics | Zone 2 |
| Minor | Mathematics, Applied | Zone 2 |
Top journal: yesReview journal: no
Database indexing
SCIEScopusLetPub
International journal early-warning lists: not listed in any editionLetPub
Indexing the journal's website claims
zbMATHCurrent ContentsPublisher website
Other: Google Scholar, EBSCO, ProQuest, Dimensions, CNKI, Baidu, Naver, OCLC, Portico, CLOCKSS
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
- 2.04LetPub ·
- Impact factor (publisher) 2025
- 2.1Publisher website ·
- 5-year impact factor (publisher) 2025
- 2.4Publisher website ·
- CiteScore 2026-06
- 3.2LetPub ·
- SJR 2026-06
- 2.37LetPub ·
- SNIP 2026-06
- 1.79LetPub ·
- h-index
- 57LetPub ·
- h-index
- 112OpenAlex ·
- i10-index
- 1,799OpenAlex ·
- 2-year mean citedness
- 1.66OpenAlex ·
- Self-citation rate
- 4.8%LetPub ·
- Share of gold OA articles
- 34.79%LetPub ·
Volume
- Articles per year
- 300LetPub ·
- Downloads per year (publisher) 2025
- 557,400Publisher website ·
Articles by year OpenAlex count · 4,012 in total · the current year is incomplete
| Year | Articles | Open access | Citations |
|---|---|---|---|
| 2026 | 231 | 139 | 70 |
| 2025 | 306 | 146 | 360 |
| 2024 | 256 | 112 | 883 |
| 2023 | 232 | 126 | 1,358 |
| 2022 | 264 | 128 | 2,328 |
| 2021 | 261 | 135 | 2,664 |
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
226 daysMedian, submission to acceptance · P25–P75 125 days – 329 days
- Acceptance to online
- median 29 days (104 articles)
- Submission to online
- median 259 days
- Sample
- 104 articles with submission and acceptance dates (599 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
- Average review time (community reports)
- 6–12 weeksLetPub ·
- Average acceptance (community reports)
- EasyLetPub ·
- Submission to first decision
- 29 daysPublisher website ·
- 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 3,190 / EUR 2,590 / GBP 2,290 | — | — |
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 prepare3 items from the author guidelines
- Abstract
- 150–250 words
- Reference style
- Numbered, in order of citation
- Suggested reviewers
- Optional
Policy excerpts from the journal's websiteAI use, Authorship, Conflicts of interest, Data availability, Publication ethics, License & copyright, Open access, Plagiarism
- AI use Generative AI Images
LLMs do not satisfy authorship criteria; use must be documented. Model summary
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 ·- Authorship Authorship principles
These guidelines describe authorship principles and good authorship practices to which prospective authors should adhere to. Authorship clarified The Journal and Publisher assume all authors agreed with the content and that all gave explicit consent to submit and that they obtained consent from the responsible authorities at the institute/organization where the work has been carried out, before th…
Source ↗Publisher website ·- Conflicts of interest Competing Interests
Competing interests disclosure required. Model summary
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 for original research. 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
Member of COPE; follows COPE guidelines on misconduct. Model summary
This journal is committed to upholding the integrity of the scientific record. As a member of the Committee on Publication Ethics (COPE) the journal will follow the COPE guidelines on how to deal with potential acts of misconduct.
Source ↗Publisher website ·- License & copyright Copyright
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 Calculus of Variations and Partial Differential Equations, including information on fees, funding and licences, visit our Open access publishing page. Back to top
Source ↗Publisher website ·- Plagiarism
May use software to screen for plagiarism. Model summary
Important note: the journal may use software to screen for plagiarism.
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 Berlin Heidelberg
- Country or region
- UNITED STATES
- Language
- English
- Frequency
- Monthly
- Founded
- 1993
- ISSN
- 0944-2669
- Electronic ISSN
- 1432-0835
- Official links
- Journal homepage ↗OpenAlex
- Submission system ↗LetPub
- Author guidelines ↗LetPub
FAQ
Frequently asked questions about Calculus of Variations and Partial Differential Equations
What CAS zone is Calculus of Variations and Partial Differential Equations in?
In the 2025 upgraded edition of the CAS Journal Ranking, Calculus of Variations and Partial Differential Equations is in Zone 1 of Mathematics, and in Zone 1 of the minor category Mathematics, Applied / Mathematics; it is a Top journal. In the 2026 Xinrui edition it is in Zone 2 of Mathematics. Zones from different editions, and from major and minor categories, are not interchangeable.
What is the impact factor of Calculus of Variations and Partial Differential Equations?
The latest impact factor listed by LetPub is 2.04; CiteScore 3.2, h-index 112.
How long does peer review take at Calculus of Variations and Partial Differential Equations?
Based on the dates recorded on 104 articles published between October 2024 and October 2026 (the last 24 months), the median time from submission to acceptance is 226 days (interquartile range 125–329 days); authors report an average review time of 6–12 weeks; the community-reported acceptance is “Easy”. 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 Calculus of Variations and Partial Differential Equations?
According to the journal's author guidelines: Abstract: 150–250 words; 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 Calculus of Variations and Partial Differential Equations based?
Of the 22 board members whose country the journal's board page names, none are in mainland China; the countries named most often are United States (7), United Kingdom (4) and Germany (4). Counted from the institutions listed on the board page; for reference only.
Which databases index Calculus of Variations and Partial Differential Equations?
According to LetPub and DOAJ records, Calculus of Variations and Partial Differential Equations is indexed in SCIE and Scopus. The journal's website also lists zbMATH and Current Contents; that list has not been checked against each database.
Is Calculus of Variations and Partial Differential Equations open access, and what is the APC?
Calculus of Variations and Partial Differential Equations is a hybrid journal. For open-access publication: APC about USD 3,190.
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 2026-08-24). Last updated: .