Dear Colleagues,

We are pleased to draw your attention to the Special Issue of AppliedMath on “Trends in Simulation and Its Applications”.

Simulation, broadly understood as “computer imitation of the behavior of a system, using a (mathematical) model to explain the relevant characteristics of the system, in order to numerically evaluate the system's performance measures”, has long been recognized as a powerful tool for the design and analysis of existing and new systems.

Computer simulation has become a powerful tool for the analysis of complex systems on every engineering area, development of algorithms and the creation of software simulators which use finite-element and discrete-event theory have made possible the analysis of multiple sophisticated scientific and industrial cases.

Simulation experiments using a stochastic simulation model have long been used for the estimation of performance measures for the assessment and mitigation of risk. Stochastic simulation has been widely used for risk assessment in many areas, for example, in supply chain management, where risk measures are mainly related to shortages, the occurrence of catastrophes, and the costs incurred. Stochastic simulation has also been extensively used in the areas related to production planning to design products with high reliability, for example, for water distribution, for the design of integrated circuits, or for the design of highly reliable products. One area of production planning where stochastic simulation is particularly important for risk mitigation is operations scheduling, where the achievement of programs that meet delivery dates is especially important when using a digital twin under the framework of Industry 4.0. In this Special Issue, we invite manuscripts dealing with theoretical and application results with consistent methods for the estimation of expectations, nonlinear functions of expectations, quantiles, and other performance measures from the output of simulation experiments. Applications and results for both transient and steady-state simulations will be considered, and methodologies that consider the assessment of the accuracy of the corresponding point estimators are especially welcome.

Works related to numerical approaching theory and computer simulation with direct applications in physics such as fluid flow, heat and mass transfer, mechanics, industrial processing analysis based on simulation are also welcome.

Topics of interest include but are not limited to:

• Analysis methodology
• Data science for simulation
• Digital twins and Industry 4.0
• Markov chain Monte Carlo theory and applications
• Model uncertainty and robust simulation
• Simulation input analysis
• Simulation optimization
• Simulation output analysis
• Numerical approaching theory
• Computational fluids dynamics
• Fundamentals of physics with mathematical and computational applications
• Computer simulation of industrial processes
• Simulation applications: supervised learning in all areas, environmental sciences, climate sciences, biomedical sciences, chemical sciences and chemometrics, econometrics and finance, engineering design, astronomy and physics, agronomy and forestry sciences, energy, sustainable development, mining sciences, social web, information and communications technology, security, biometry, internet of things, natural disaster modeling.

Prof. Dr. David F. Muñoz
Prof. Dr. Rodolfo Morales
Prof. Dr. Adán Ramírez-López
Prof. Dr. Vladimir Strezov
Dr. Alejandro Mac Cawley
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. AppliedMath is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1000 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• risk management
• industrial processes
• simulation-based design
• systems simulation
• numerical analysis