Aims and scope

Mathematical and Computer Modelling of Dynamical Systems (MCMDS) publishes high quality international research that presents new ideas and approaches in the derivation, simplification, and validation of models and sub-models of relevance to complex (real-world) dynamical systems.

The journal brings together mathematicians, engineers, and scientists working in different areas of application and/or theory where researchers can learn about recent developments across engineering, environmental systems, and biotechnology amongst other fields. As MCMDS covers a wide range of application areas, these papers aim to be accessible to readers who are not necessarily experts in the specific area of application.

The Journal has two sections:

A) Engineering and application aspects of modelling
B) Mathematical and theoretical aspects of modelling

MCMDS welcomes original articles on a range of topics including:

    methods of modelling and simulation
    difference equations in dynamical systems modelling
    differential equations (ordinary, partial, impulsive, fractional, delay) in dynamical systems modelling
    special functions dealing with modelling complex problems
    automation of modelling
    qualitative and modular modelling
    data-based and learning-based modelling
    scientific computing and numerical analysis in modelling
    uncertainties and the effects of modelling errors on system performance
    application of modelling to complex real-world systems.

Submissions are highly welcome which present:

    new modelling ideas
    comparison of models and modelling approaches
    theoretical and mathematical aspects of modelling
    papers dealing with complex real-world applications, which present the purpose of the model and the process of model calibration and validation.

Potential authors should note that the focus of MCMDS is on new modelling methods and/or new applications of modelling to complex real-world systems.

The Journal publishes Data Notes, Editorials, Letters to the Editors, Research Articles, and Review Articles.

Proposals for high-quality special issues are welcomed and should be sent to the Editors-in-Chief for assessment.

Please note that Mathematical and Computer Modelling of Dynamical Systems converted to a fully Open Access journal beginning with Volume 27, Issue 1 (2021). The 1995-2020 volumes were made free to access from 1 January 2021.

Special Issue on Research Applications and Recent Progress in Modelica, FMI and related open standards
Submission Date: 2026-04-26

Article collection guest advisor(s)

Dr. Dirk Zimmer, Deutsches Zentrum für Luft-und Raumfahrt e.V (DLR)
Dirk.Zimmer@dlr.de	

Prof. Francesco Casella, Politecnico di Milano
francesco.casella@polimi.it	

The International Modelica & FMI Conference is the main event for users, library developers, tool vendors and language designers to share their knowledge and learn about the latest scientific and industrial progress related to Modelica, FMI, SSP, eFMI and DCP. Its program covers processes and tools for the modelling of complex physical and cyber-physical systems as applied to a wide range of research and industrial applications.

https://modelica.org/events/modelica2025/

This Article Collection aims to have the most significant contributions to this conference with extended scientific results and an open call for further contributions post conference. It thereby represents the most recent and relevant research related to these open standards in a concise format with in-depth articles. The applications come from various domains and the methodological contributions are therefore of generic value and wide applicability.

Modelica represents an open standard for equation-based modelling that is being applied by academia and industry world-wide. The Modelica standard library as well as many further open-source libraries provide one of the largest pools of ready-to-simulate mathematical models.

www.modelica.org

FMI is the world-wide leading standard for model exchange and co-simulation for dynamic systems supported by over 200 tools. Related standards such as SSP get increasing interest and coverage from users in industrial practice. Research in this area has often direct impact to industry.

www.fmi-standard.org

It is important to provide an in-depth article collection that gives selected and excellent researches the opportunity to report on their work beyond the limitations of a conference paper. It makes sense to collect all these contributions since readers are expected to transfer methodological contributions from one domain to another which is better enabled by this multi-domain format of a collection.

We will only propose a submission to this article collection for the top 10%-20% of the submitted conference articles. This shall ensure a high-quality list of submission and the exclusivity provides extra value for this collection.

The multi-domain character of a Modelica&FMI conference fits by its nature very well to Mathematical and Computer Modelling of Dynamical Systems. For this Article Collection, we will primarily select papers that:

    present new methods of equation-based modelling and simulation
    explain new and useful differential equation for relevant application fields.
    automate modelling or model generation
    combine equation-based modelling with machine learning, control or optimization
    apply numerical analysis in modelling (especially for co-simulation)
    cover uncertainties and the effects of modelling errors on system performance
    tackle complex real-world applications, which present the purpose of the model and the process of model calibration and validation comparison of models and modelling approaches
    present model-based processes, digital twins and model exchange for high-level applications

Keywords: Modelling & Simulation, Object-Orientation, Open Standards, Equation-based Modelling, Model-based Methods

Special Issue on Modelling, Optimisation, and Control of Automotive Systems
Submission Date: 2026-04-30

Article collection guest advisor(s)

Dr. Matthias Bitzer, Robert Bosch GmbH, Germany
Matthias.Bitzer2@de.bosch.com	

Dr. Tobias Glück, Austrian Institute of Technology, Austria
Tobias.Glueck@ait.ac.at	

Prof. Ekaterina A. Kostina, University of Heidelberg, Germany
ekaterina.kostina@iwr.uni-heidelberg.de	

Prof. Hans-Georg Bock, University of Heidelberg, Germany
bock@iwr.uni-heidelberg.de	

Sustainability in mobility requires modern methods to realise optimal operational strategies for vehicles and vehicle fleets that minimise their CO2 emissions and energy consumption. These requirements apply for all vehicle classes and drivetrain topologies, i.e., electric powertrains, powertrains with fuel cells, as well as hybrid drivetrains with internal combustion engines and batteries.

The foundations of these methods are physics-based or data-based mathematical models, or a “best of both worlds” combined approach. Their industrial use demands both robustness and trustworthiness in connection with an efficient parameterisation. Control-oriented modelling in combination with model order reduction are often a prerequisite to accomplish real-time operation due to resource constraints of embedded control units. Future centralised vehicle computers will provide additional computation power and enable increasingly complex algorithms, e.g. optimisation on system level. An external communication and computer infrastructure offers further possibilities for connected services such as federated learning or networked optimal control.

The environmental impact of mobility and its related energy demand is an important aspect of the overall energy consumption of societies. Therefore, it is desirable to minimize the energy and CO2 emissions of the mobility sector as far as possible. This concerns electric and fuel cell vehicles, as well as the various forms of hybrid powertrain topologies comprising internal combustion engines. In the case of electric vehicles, the energy demand for comfort functions such as cabin heating directly influences the possible range. Furthermore, waste heat recovery is used to improve efficiency.

This Article Collection aims to gather the cutting-edge research in Modelling, Optimisation, and Control of Automotive Systems. The topics include, but are not limited to the following:

    Physics-based and Data-based Modelling of Automotive Systems and Components
    Powertrains
    Electric and Hybrid Electric Propulsion Systems
    Electric Machines,
    Batteries and Automotive Fuel Cells
    Air Systems
    Internal Combustion Engines
    e-fuel and flex fuel systems
    Thermal Automotive Systems
    Radiator Modelling
    Exhaust and Waste Heat Recovery Systems
    Valve Systems
    Vehicle Dynamics
    Networked Control of Vehicles
    Autonomous Driving Applications
    Optimisation and Control of Automotive Systems
    Energy Management
    Vehicle-wide optimal control
    Software-defined car

Keywords: Modelling & Simulation, Object-Orientation, Open Standards, Equation-based Modelling, Model-based Methods