Changes between Version 5 and Version 6 of WorkingGroups/TAM/ReferenceManual/NemoTamBasics
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 20100601T18:13:57+02:00 (14 years ago)
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WorkingGroups/TAM/ReferenceManual/NemoTamBasics
v5 v6 1 = TAM what for ? = 1 = Tangent and adjoint models (TAM) = 2 3 == TAM what for ? == 4 2 5 The development of tangent and adjoint models is 3 6 an important step in addressing sensitivity analysis and variational … … 11 14 cost function around a background control. 12 15 13 = Tangent and Adjoint coding principle =16 == Tangent and Adjoint coding principle == 14 17 the original program {{{P}}}, whatever its size and run time, computes a function ''F'', ''X''∈ IR^''m''^ → ''Y'' ∈ IR^''n''^ which is the composition of the elementary functions computed by each runtime instruction. In other words if {{{P}}} executes a sequence of elementary statements ''I,,k,,,k'' ∈ [1..''p''], then {{{P}}} actually evaluates 15 18 … … 41 44 for specific details about practical adjoint coding refer to Giering and Kaminski (1998) 42 45 43 = Potential issues =46 == Potential issues == 44 47 45 48 * the major approximations : non differentiability issues, simplification of the direct model before linearization, validity of the tangent linear hypothesis over some time window, etc.