Instructions for authors

Download instructions to authors in PDF format.

1. The submission stage

File format and macro package

We prefer that articles be prepared in LateX2e, using the last version of AMSLaTeX and the amsart class. Articles may also be prepared in LaTeX2e or LaTeX209 with standard article class, or in Plain TeX.

A macro package in LaTeX2e, designed especially for ESAIM: M2AN is available here (Compressed in ZIP format).

Electronic submission

Authors are encouraged to submit their manuscripts electronically through the web at the following address:

Editorial Office

SMAI, ESAIM: M2AN – Huong Fuentes
Institut Henri Poincaré
11 rue Pierre et Marie Curie
75231 Paris Cedex 05

2. The acceptance stage

At this stage, an electronic version of the manuscript (TeX, LaTeX), which must exactly match the accepted version, should be sent to the publisher (even if the article had been previously submitted electronically).

The Editorial Office will send an acceptance letter to the corresponding author, and at the same time, will ask for electronic files of text and figures. All portions of the manuscript available in electronic form should be sent to the production department according to the instructions in the acceptance letter from the Editorial Office.

If authors cannot provide an electronic file of their text, they must advise the production department as soon as they receive the acceptance letter, to avoid any delay in the beginning of the production process. 

3. The proof correction stage

Authors should keep in mind that proof-reading is their responsibility. Corrections should therefore be clear and made on the proofs using a red pen. The use of standard proof correction marks is recommended.

TeX, LaTeX files are modified by the production department to follow general presentation rules of the journal.

The main aim of proof-reading is to correct errors that may have occurred during the production process, and not to modify the content of the paper. The reproduction of artwork, the layout of the pages and equation breakings introduced by the production staff should carefully be checked. Corrections that might lead to a change in the page layout should be avoided.

The proofs, once corrected, should be signed and returned to the publisher as soon as possible.

Offprint orders

The PDF file of the article will be provided free of charge to the corresponding author. An order form for reprints will accompany the proofs.

4. Style guide

Title, Abstract

Title should be simple and informative. A shortened version of the title consisting of a maximum of 75 characters (including spaces) for running headers should also be provided. An abstract in English is required. It should be completely self-contained, not exceeding 200 words and written as a single paragraph.

Author(s) name(s) and affiliations

A list of all authors, including first names, as well as corresponding addresses, should be provided. Addresses should contain all information necessary for an effective mail delivery. E-mail, fax and telephone numbers should also be provided to speed up communication between Editorial Office, readers and authors.

Mathematics Subject Classification scheme

Each manuscript must be assigned indexing codes. MSC numbers, developed jointly by the American Mathematical Society and Zentralblatt, may be found at the URLs: Keywords are also required.


Equations, Lemma, Theorem... should be numbered with the section: for example, equation 3 of Section 1, must be numbered equation (1.3). Numbering must be labelled on the right side.


References should be cited numerically in the text (for example, [1], [2, 5, 7], [8-10]). All references must be labelled. Items in the bibliography are ordered alphabetically by authors. Authors may be cited in the text by name, but without initials. Authors should use the models below in the final reference list.

Examples for Journals, Books, Conference Proceedings and Doctoral dissertations, respectively:

[1] R. Brown and C. Green, Finite element method for Navier-Stokes equation. ESAIM: M2AN 38 (2004) 123-144.

[2] J.R. Brown and F. Smith, Finite element method for Navier-Stokes equation. To appear in: ESAIM: M2AN (2020).

[3] J.M. Paul, Finite Element Method for Navier-Stokes Equation. EDP Sciences (1995).

[4] J.M. Smith, J.R. Brown and C. Green, A parallel algorithm based on multi-parameter asymptotic error expansion, in Proc. of Conference on Scientific Computing, Edited by C. Brown. EDP Sciences, Les Ulis (2001) 401-420.

[5] J.M. Smith, Finite element method for Navier-Stokes equation. Ph.D. thesis, University of Paris XI, France (1990).


Each figure should be cited in the text. Good-quality figures have the following characteristics:

  • They should be produced with a good quality laser printer and have lines, letters, numbers and symbols of uniform strength and contrast.
  • Authors should avoid including any unnecessary text around a figure, such as captions, figure numbers, author or file names. These indications should be handwritten on the back or at the bottom of the original figures.
  • Parts of diagrams, graphs, ... should be clearly indicated by different types of hatching. Grey scales, which might get difficult to distinguish after reducing, or which often disappear during the printing process, should be avoided. Also, parts a, b, c, etc. of a figure should be in separate files.

Color illustrations are accepted, provided that authors make a contribution towards the cost of four-color reproduction and printing. The present rates (tax-free) are 732 Euros for the first page of color illustrations. Prices will be given upon request in case of additional four-color pages. 

5. Publication Charges

There are no charges to publish in the journal.