A. Mathematical models

By G. Antonelli. 2006

324 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mathematical Physics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e31d008ee4647255a1c1306b26c394986f284ff2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. V. Deshpande
2. Norman A. Fleck
3. Duncan J. Watts
4. W. Jin
5. D. Radford

In Mathematical Physics

1. Duncan J. Watts
2. W. Jin

In Modeling and Simulation

1. Duncan J. Watts
2. W. Jin

Citations in the corpus

• Micro-architectured materials: past, present and future (2010, background): “Regular lattices are generated by tessellating a regular polygon to fill the entire plane (Cundy & Rolett 1961; Lockwood & Macmillan 1978; Frederickson 1997).”
• On the ill-posedness of the Prandtl equation (2009, unknown): “For example, v is recovered in (1.3) through the divergence condition, and in terms of x -regularity, behaves broadly like ∂ x u .”
• The epistemological predicament associated with purposive quantitative analysis (2006, unknown): “The ‘‘cave allegory’’ of Plato can be recalled here, who suggests the expression of ‘‘shadow on the wall’’ to convey the idea that the images of the reality that we use in our formal representations are necessarily reflecting only partially the originals (more on this in Filar, 2006).”
• The “New” Science of Networks (2004, background): “:( a ) for each unit of time infected with some probability β (the infectiousness of the disease); ( b ) infectives are removed from the population at some rate r (either by achieving immunity or by death); and ( c ) removed individuals are reinjected into the susceptible pool (through loss of…”
• A kinematic wave theory of lane-changing traffic flow (2005, background): “We consider the following triangular fundamental diagram (Munjal et al., 1971; Haberman, 1977; Newell, 1993), V (ρ) = vf , 0 ≤ ρ ≤ ρc; ρc ρj−ρc vf ρj−ρ ρ , ρc < ρ ≤ ρj , Q(ρ) = vfρ, 0 ≤ ρ ≤ ρc; ρc ρj−ρc vf (ρj − ρ), ρc < ρ ≤ ρj , where vf is the free flow speed, ρj the jam density, and…”