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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image


Aims and scope

Computational and applied mathematics along with data science play a vital role in contemporary society by driving innovation. This success can be attributed to revolutionary theoretical and algorithmic developments in machine learning, data driven modeling, differential equations, numerical analysis, scientific computing, control, optimization, and computing resources together with new tools to deal with uncertainty and randomness.

This journal encourages new research in these broad areas. In addition to research on algorithmic and analytical developments, the journal also encourages papers related to (but not limited to) broad applications in Signal and Image Processing, Computer Vision, Materials Science, Mathematical Biology and Bioengineering. As a result, the journal will be an excellent connecting bridge between mathematical research and real world applications. 

The journal accepts high-quality articles containing original research results and survey articles of exceptional merit.  Below are short descriptions of the scope of the Areas within the journal: 


Data Science: 

Computer Science, Mathematics, and Statistics are the infrastructure and baseline of the development of data science, with crucial topics including optimization, operational research, scientific computing, and so on. In data science section of this journal, we are interested in submissions that can advance cutting-edge research in computational, mathematical, and statistical methods and models in data science, and solve important theoretical, numerical, and practical questions remain unsolved or even completely open, in data science.


Numerical Analysis and Scientific Computing: 


Numerical methods for ODEs/PDEs, Inverse problems, Optimisation and Control, Model reductions, Uncertainty quantification, computational science and engineering, computational mechanics

Partial Differential Equations and Mathematical Physics: 

The Partial Differential Equations and Mathematical Physics section accepts papers on all aspects of ordinary, partial differential equations and mathematical physics. The section also covers all applications concerning partial differential equations.



The Control section welcomes contributions on the Control theory considered in a broad sense, comprising areas of Controllability, Optimal control, Control engineering, Inverse problems, etc. The papers must provide novel theoretical and/or application approaches to non-isolated research topics whose relevance has to be justified with clear links to established methods and theories.


Stochastic Modeling, Analysis and Uncertainty Quantification: 

This section accepts research papers on financial markets and population system related stochastic models, analysis of models, including stability and optimal control. 


Mathematical Biology and Bioengineering: 

We welcome innovative simple mathematical modeling efforts inspired by biological phenomena, including but not limited to ecology and epidemiology. We also welcome the analysis of mathematical properties of existing models with biological implications through new technologies.

Computer Vision: 

The Computer Vision section accepts papers on optimization techniques related to machine learning, computer vision and intelligent control systems. Relevant topics include image processing, target tracking, intelligent systems for the aged care and remote sensing.  


Materials Science: 

The Materials Science section accepts papers on mathematical approaches to describe the behaviour of materials, e.g., in  engineering or life science applications. Relevant topics include physics of solids and soft materials, coupled problems, and material modelling.


Benefits of publishing with SpringerOpen

High visibility

Advances in Continuous and Discrete Models's open access policy allows maximum visibility of articles published in the journal as they are available to a wide, global audience. 

Speed of publication

Advances in Continuous and Discrete Models offers a fast publication schedule whilst maintaining rigorous peer review; all articles must be submitted online, and peer review is managed fully electronically (articles are distributed in PDF form, which is automatically generated from the submitted files). Articles will be published with their final citation after acceptance, in both fully browsable web form, and as a formatted PDF; the article will then be available through Advances in Continuous and Discrete Models and SpringerOpen.


Online publication in Advances in Continuous and Discrete Models gives you the opportunity to publish large datasets, large numbers of color illustrations and moving pictures, to display data in a form that can be read directly by other software packages so as to allow readers to manipulate the data for themselves, and to create all relevant links (for example, to PubMed, to sequence and other databases, and to other articles).

Promotion and press coverage

Articles published in Advances in Continuous and Discrete Models are included in article alerts and regular email updates. 
In addition, articles published in Advances in Continuous and Discrete Models may be promoted by press releases to the general or scientific press. These activities increase the exposure and number of accesses for articles published in Advances in Continuous and Discrete Models


Authors of articles published in Advances in Continuous and Discrete Models retain the copyright of their articles and are free to reproduce and disseminate their work (for further details, see the copyright and license agreement).

For further information about the advantages of publishing in a journal from SpringerOpen, please click here.

Open access

All articles published by the Advances in Continuous and Discrete Models are made freely and permanently accessible online immediately upon publication, without subscription charges or registration barriers. Further information about open access can be found here.

As authors of articles published in the Advances in Continuous and Discrete Models you are the copyright holders of your article and have granted to any third party, in advance and in perpetuity, the right to use, reproduce or disseminate your article, according to the SpringerOpen copyright and license agreement.

For those of you who are US government employees or are prevented from being copyright holders for similar reasons, SpringerOpen can accommodate non-standard copyright lines. Please contact us if further information is needed.

Article-processing charges

Open access publishing is not without costs. Advances in Continuous and Discrete Models therefore levies an article-processing charge of £1190.00/$1790.00/€1490.00 for each article accepted for publication, plus VAT or local taxes where applicable. The APC is determined at the date of acceptance.

If the corresponding author's institution participates in our open access membership program, some or all of the publication cost may be covered (more details available on the membership page). We routinely waive charges for authors from low-income countries. For other countries, article-processing charge waivers or discounts are granted on a case-by-case basis to authors with insufficient funds. Authors can request a waiver or discount during the submission process. For further details, see our article-processing charge page.

Visit Springer Nature’s open access funding & support services for information about research funders and institutions that provide funding for APCs.

Springer Nature offers agreements that enable institutions to cover open access publishing costs. Learn more about our open access agreements to check your eligibility and discover whether this journal is included.

For more information on APCs please see our Journal Pricing FAQs

Indexing services

All articles published in Advances in Continuous and Discrete Models are included in:

  • Current contents
  • DOAJ
  • Journal Citation Reports/Science Edition
  • Mathematical Reviews
  • OCLC
  • Science Citation Index Expanded
  • SCImago
  • Scopus
  • Summon by Serial Solutions

The full text of all articles is deposited in digital archives around the world to guarantee long-term digital preservation. You can also access all articles published by SpringerOpen on SpringerLink.

Editorial policies

All manuscripts submitted to Advances in Continuous and Discrete Models should adhere to SpringerOpen's editorial policies.

Once your article is accepted, it will be processed by production and published shortly afterwards. In some cases, articles may be held for a short period of time prior to publication. If you have any concerns or particular requirements please contact the Journal.

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Citing articles in Advances in Continuous and Discrete Models

Articles in Advances in Difference Equations should be cited in the same way as articles in a traditional journal. Because articles are not printed, they do not have page numbers; instead, they are given a unique article number.

Article citations follow this format:

Authors: Title. Adv Diff Equ [year], [volume number]:[article number].

e.g. Roberts LD, Hassall DG, Winegar DA, Haselden JN, Nicholls AW, Griffin JL: Increased hepatic oxidative metabolism distinguishes the action of Peroxisome Proliferator-Activated Receptor delta from Peroxisome Proliferator-Activated Receptor gamma in the Ob/Ob mouse. Adv Diff Equ 2009, 1:115.

refers to article 115 from Volume 1 of the journal.

Appeals and complaints

Authors who wish to appeal a rejection or make a complaint should follow the procedure outlined in the BMC Editorial Policies.

Annual Journal Metrics

  • 2022 Citation Impact
    4.1 - 2-year Impact Factor
    2.9 - 5-year Impact Factor
    1.702 - SNIP (Source Normalized Impact per Paper)
    0.672 - SJR (SCImago Journal Rank)

    2022 Speed
    15 days submission to first editorial decision for all manuscripts (Median)
    235 days submission to accept (Median)

    2022 Usage 
    9 Altmetric mentions