68
and
Z ≡ PrU : RΛ → Rfe'
H ≡ UτHU : R> → Rfe
R ≡ UτW(PτW)^1 : Rfc' → Rfe∖
Since in (3.17) all are pointwise functions, the matrix Pτ just picks off the entries at
the interpolation points z, and thus by recalling (3.4) we find
A(v)i ≡ w,,oo((Zv)i), B(v)i ≡ τ.((Zv)i), i = l,...,kf
and, similarly, Φ just computes the rows of Φ corresponding to the indices z. Hence
the reduced functions are of complexity kf, as desired.
We solve the reduced system using the same staggered Euler scheme. We denote
ɑθɔ = G((J-3∕2)∆t), ≈ w((J-3∕2)∆t) and vɑ'ɔ ≈ v((J-l)∆t), J = 1,2,...
and use the scheme: Given wʊ ŋ and vθ 1∖ evaluate
wω = [(2B(v°'-υ) -Δt).≠-1> + 2A(v°-υ)Δt].∕[2B(vc'-1)) + Δt] (3.18)
More intriguing information
1. A Rare Case Of Fallopian Tube Cancer2. Skills, Partnerships and Tenancy in Sri Lankan Rice Farms
3. EU Preferential Partners in Search of New Policy Strategies for Agriculture: The Case of Citrus Sector in Trinidad and Tobago
4. Effort and Performance in Public-Policy Contests
5. The name is absent
6. Errors in recorded security prices and the turn-of-the year effect
7. The name is absent
8. Macro-regional evaluation of the Structural Funds using the HERMIN modelling framework
9. The name is absent
10. On s-additive robust representation of convex risk measures for unbounded financial positions in the presence of uncertainty about the market model