The name is absent



62

mV. Here A and B are pointwise functions whose actions are defined, recall (2.18), by

A(v)i = uλ,oo(vi), B(v)i =-r(vi), z = l,..., N.              (3.4)

We discretize (3.2) (3.3) following the second-order staggered Euler scheme of
(Hines, 1984). More precisely, for a fixed time-step ∆i, we evaluate

ɑɑ) = G((J-3∕2)∆i), w^ɔ ≈ w((j-3∕2)∆f) and vɑɔ ≈ v((j-l)∆t), j = 1,2,...

via the marching scheme: Given wɑ-1) and v^-1∖ evaluate

wɑŋ = [(2B(√j~1>) - ∆i) .w(j-ɪ) + 2A(√j-1))Δt]./ [2B(v°-ŋ) + ∆t]       (3.5)

and

vω = 2vmjd - v0~1>                         (3.6)

where vmd is the solution to the linear system

(2∕∕∆i — H + diag(Φ(w^)e + G^))vmjd = 2v^-1^∕∆t + Φ(w^)Ei + G^.Es, (3.7)
where the ‘diag’ operator takes a vector and transforms it into a diagonal matrix. In



More intriguing information

1. The name is absent
2. PER UNIT COSTS TO OWN AND OPERATE FARM MACHINERY
3. The name is absent
4. The name is absent
5. A Regional Core, Adjacent, Periphery Model for National Economic Geography Analysis
6. How we might be able to understand the brain
7. MATHEMATICS AS AN EXACT AND PRECISE LANGUAGE OF NATURE
8. The name is absent
9. Wirtschaftslage und Reformprozesse in Estland, Lettland, und Litauen: Bericht 2001
10. Estimation of marginal abatement costs for undesirable outputs in India's power generation sector: An output distance function approach.