Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models
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Beschreibung
The book originates from the mini-symposium "Mathematical descriptions of traffic flow: micro, macro and kinetic models" organised by the editors within the ICIAM 2019 Congress held in Valencia, Spain, in July 2019. The book is composed of five chapters, which address new research lines in the mathematical modelling of vehicular traffic, at the cutting edge of contemporary research, including traffic automation by means of autonomous vehicles. The contributions span the three most representative scales of mathematical modelling: the microscopic scale of particles, the mesoscopic scale of statistical kinetic description and the macroscopic scale of partial differential equations.The work is addressed to researchers in the field.
The book originates from the mini-symposium "Mathematical descriptions of traffic flow: micro, macro and kinetic models" organised by the editors within the ICIAM 2019 Congress held in Valencia, Spain, in July 2019. The book is composed of five chapters, which address new research lines in the mathematical modelling of vehicular traffic, at the cutting edge of contemporary research, including traffic automation by means of autonomous vehicles. The contributions span the three most representative scales of mathematical modelling: the microscopic scale of particles, the mesoscopic scale of statistical kinetic description and the macroscopic scale of partial differential equations.The work is addressed to researchers in the field.
Mathematical methods and models of vehicular traffic at the three representative scales in a unique book Frontier research topics in the mathematical modelling of vehicular traffic, including vehicle automation and data integration, addressed in various chapters under different points of view Up-to-date representation of the most advanced research topics in the mathematical modelling of vehicular traffic
Autor*in
Gabriella Puppo
Themen in »Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models«
Multiscale models Follow-the-leader models Boltzmann-type and BGK kinetic models Local and non-local conservation laws Partial Differential Equations