Roberto Velho

ORCID: 0000-0003-0801-7934
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About
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Research Areas
  • Education during COVID-19 pandemic
  • Healthcare Regulation
  • Healthcare during COVID-19 Pandemic
  • Model Reduction and Neural Networks
  • Evacuation and Crowd Dynamics
  • Navier-Stokes equation solutions
  • Traffic control and management
  • COVID-19 epidemiological studies
  • Fractional Differential Equations Solutions
  • Data-Driven Disease Surveillance
  • Fluid Dynamics and Turbulent Flows
  • Geophysical and Geoelectrical Methods
  • Stochastic processes and financial applications
  • Non-Destructive Testing Techniques
  • Computational Fluid Dynamics and Aerodynamics
  • Sports Dynamics and Biomechanics
  • Seismic Imaging and Inversion Techniques
  • Influenza Virus Research Studies
  • Oil and Gas Production Techniques
  • Statistical Mechanics and Entropy
  • Fluid Dynamics and Vibration Analysis
  • Nuclear Engineering Thermal-Hydraulics
  • Heat transfer and supercritical fluids
  • Economic theories and models
  • Reservoir Engineering and Simulation Methods

Universidade Federal do Rio Grande do Sul
2020-2021

King Abdullah University of Science and Technology
2014-2018

In this paper we present different applications of finite state mean field games to socio-economic sciences. Examples include paradigm shifts in the scientific community or consumer choice behaviour free market. The corresponding game models are hyperbolic systems partial differential equations, for which and validate numerical methods. We illustrate solutions with various experiments, show interesting phenomena like shock formation. Hence conclude an investigation structure case two-state problems.

10.1098/rsta.2013.0405 article EN Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences 2014-10-07

Abstract We propose a susceptible-exposed-infective-recovered-type (SEIR-type) meta-population model to simulate and monitor the (COVID-19) epidemic evolution. The basic consists of seven categories, namely, susceptible (S), exposed (E), three infective classes, recovered (R), deceased (D). define these categories for n age sex groups in m different spatial locations. Therefore, resulting contains all epidemiological classes each group, sex, location. mixing between them is accomplished by...

10.1038/s41598-021-88281-w article EN cc-by Scientific Reports 2021-04-27

In this paper, we consider two-state mean-field games and its dual formulation. We then discuss numerical methods for these problems. Finally, present various experiments, exhibiting different behaviours, including shock formation, lack of invertibility, monotonicity loss.

10.1109/cdc.2014.7039803 article EN 2014-12-01
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