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Partial Differential Equations and Applications Template

Write in a clean editor, then format for Partial Differential Equations and Applications in one click — DocuGuru applies the official Springer Nature template with superscript references and exports a submission-ready PDF plus the editable LaTeX source. Free to start.

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About the Partial Differential Equations and Applications format

Partial Differential Equations and Applications is a peer-reviewed journal published by Springer Nature, covering Advanced Mathematical Physics Problems, Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering.

PublisherSpringer Nature
Reference styleSuperscript numbered (Nature)
Superscript — small raised numerals in the text
1. Smith, A., Jones, B. & Lee, C. A representative article title. Partial Differential Equations and Applications 12, 45–58 (2023).

Formats any DOI in Partial Differential Equations and Applications style. No sign-up.

Publishes research inAdvanced Mathematical Physics Problems Nonlinear Partial Differential Equations Advanced Mathematical Modeling in Engineering Stability and Controllability of Differential Equations Navier-Stokes equation solutions
ISSN2662-2963
Citation impact (2-yr)0.82
h-index14
i10-index32
Total citations1,333
Article processing charge$2,890
Top institutions publishing hereCentre National de la Recherche Scientifique
Journal websitewww.springer.com
You getA submission-ready PDF and the editable LaTeX source — ready to submit.

Papers published in Partial Differential Equations and Applications per year

35
2017
49
2020
91
2021
78
2022
48
2023
53
2024
57
2025

Citation impact of Partial Differential Equations and Applications by publication year

146
2017
347
2020
339
2021
248
2022
120
2023
77
2024
32
2025

Citations each year’s papers have accumulated so far — the most recent years are still building up.

Most-cited papers in Partial Differential Equations and Applications

A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations

Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse et al. · 1 Apr 2020

Abstract Deep neural networks and other deep learning methods have very successfully been applied to the numerical approximation of high-dimensional nonlinear parabolic partial differential equations (PDEs), which are widely used in finance, engineering, and natural sciences. In particular, simulations indicate that algorithms based on deep learning overcome the curse of dimensionality in the numerical approximation…

82 citations Cite SaveGo to paper →
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations

E Weinan, Martin Hutzenthaler, Arnulf Jentzen et al. · 4 Nov 2021

Abstract We introduce a new family of numerical algorithms for approximating solutions of general high-dimensional semilinear parabolic partial differential equations at single space-time points. The algorithm is obtained through a delicate combination of the Feynman–Kac and the Bismut–Elworthy–Li formulas, and an approximate decomposition of the Picard fixed-point iteration with multilevel accuracy. The algorithm has been…

40 citations Cite SaveGo to paper →
Solving high-dimensional Hamilton–Jacobi–Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space

Nikolas Nüsken, Lorenz Richter · 21 Jun 2021

Abstract Optimal control of diffusion processes is intimately connected to the problem of solving certain Hamilton–Jacobi–Bellman equations. Building on recent machine learning inspired approaches towards high-dimensional PDEs, we investigate the potential of iterative diffusion optimisation techniques, in particular considering applications in importance sampling and rare event simulation, and focusing on problems without diffusion control, with…

28 citations Cite SaveGo to paper →

Partial Differential Equations and Applications template — frequently asked questions

How do I write a paper in the Partial Differential Equations and Applications format?
In DocuGuru you write your manuscript in a normal editor — no LaTeX setup required — and select the Partial Differential Equations and Applications template. When you export, DocuGuru compiles the paper into the official Springer Nature format and hands you a submission-ready PDF along with the editable LaTeX source.
What reference style does Partial Differential Equations and Applications use?
Partial Differential Equations and Applications uses Superscript numbered (Nature) references, shown as superscript numerals in the text. DocuGuru formats every in-text citation and the reference list in this exact style automatically. A reference appears like this: 1. Smith, A., Jones, B. & Lee, C. A representative article title. Partial Differential Equations and Applications 12, 45–58 (2023).
Do I need to know LaTeX to submit to Partial Differential Equations and Applications?
No. DocuGuru generates the sn-jnl LaTeX class and compiles the PDF for you in the background, so you get a Springer Nature-ready Partial Differential Equations and Applications document without writing any LaTeX. If you do want it, the LaTeX source is included in the export.
Can I import an existing draft into the Partial Differential Equations and Applications template?
Yes. Paste or upload your current manuscript — Word, LaTeX, Markdown, or plain text — and DocuGuru reflows it into the Partial Differential Equations and Applications format with correct headings, figures, tables, and superscript citations.
Who publishes Partial Differential Equations and Applications?
Partial Differential Equations and Applications is a multidisciplinary journal published by Springer Nature. DocuGuru's Partial Differential Equations and Applications template matches Springer Nature's official submission format.
Can I export a submission-ready Partial Differential Equations and Applications PDF?
Yes — DocuGuru produces a PDF built with the official Partial Differential Equations and Applications template (the sn-jnl class) that is ready to submit to Springer Nature, together with the matching LaTeX source files.
How much does the Partial Differential Equations and Applications template cost?
You can start writing in the Partial Differential Equations and Applications template for free. Exporting the final submission-ready Partial Differential Equations and Applications PDF and LaTeX source is part of DocuGuru's paid plans — see the app for current pricing.
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