Mathematical modeling of complex systems based on supercomputer technologies

2018 ◽  
Vol 08 ◽  
pp. 58-65
Author(s):  
A.N. Khimich ◽  
2019 ◽  
pp. 174-210
Author(s):  
Johannes Lenhard

This chapter has two parts. The first part boils down to the thesis that simulations simply extend or amplify the validation problem, because they include steps that are not part of traditional mathematical modeling—but they arguably do not pose a conceptually new type of validation problem. The second part deals with the problem of holism that emerges when complex interactions together with a modular design govern how the model behaves. Simulations then gain a particular twist with dramatic consequences. Modularity is the very basis for handling complex systems, but it erodes for reasons inherent to simulation modeling. In a way, simulations undermine their own working basis, and as a consequence, the problem of holism emerges to reveal the limits of analysis.


2020 ◽  
Vol 10 (2) ◽  
pp. 36-42
Author(s):  
Svetlana Yu. TEPLYKH ◽  
Dmitriy S. BOCHKOV ◽  
Mariya V. VESELOVA

The paper is devoted to the study of the features of mathematical modeling of water supply and sanitation systems. These systems are complex systems consisting of branched pipeline networks, structures, installations and equipment. In this case, the work of all elements must be linked to each other. This task is very diffi cult due to the presence of a large number of parameters and technological processes occurring in water supply and sanitation systems. Therefore, in practice, diff erent types of modeling, including mathematical, are used to solve these problems.


2020 ◽  
Vol 26 (3) ◽  
pp. 315-326 ◽  
Author(s):  
Silvana S. S. Cardoso ◽  
Julyan H. E. Cartwright ◽  
Jitka Čejková ◽  
Leroy Cronin ◽  
Anne De Wit ◽  
...  

Self-organizing precipitation processes, such as chemical gardens forming biomimetic micro- and nanotubular forms, have the potential to show us new fundamental science to explore, quantify, and understand nonequilibrium physicochemical systems, and shed light on the conditions for life's emergence. The physics and chemistry of these phenomena, due to the assembly of material architectures under a flux of ions, and their exploitation in applications, have recently been termed chemobrionics. Advances in understanding in this area require a combination of expertise in physics, chemistry, mathematical modeling, biology, and nanoengineering, as well as in complex systems and nonlinear and materials sciences, giving rise to this new synergistic discipline of chemobrionics.


2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Carlo Bianca

This paper is concerned with the mathematical modeling of complex systems characterized by particles refuge. Specifically the paper focuses on the derivation and moments analysis of thermostatted kinetic frameworks with conservative and nonconservative interactions for closed and open complex systems at nonequilibrium. Applications and future research perspectives are discussed in the last section of the paper.


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