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By we creat adjoint program, we let apply it to an initial value estimate. Therefore I learn adjoint method, perform adjoint program of the inspection and the correction. We prepare the tangent program and adjoint program, which is generated by the normal procedure and automatic differentiation tool TAPENADE. Then, we revised numerical value experiment by the tangent program to act hermite interpolation.

We verify the integrity of Tangent program and Adjoint program which is generated by automatic differentiation tool TAPENADE. We use two simulation programs as an input to TAPENADE. The two programs are based on the Burgers equation discretized by first order upwind difference scheme(implicit method) and the downburst simulation program. Then, we calculate the gradient of the objective function with the Adjoint program.

We create a simulation program based on the Burgers equation discretized in two ways. The two ways are LeapFlog/DuFort-Frankel method(explicit method) and first order upwind difference scheme(implicit method). We prepare the tangent program and adjoint program, which is generated by the normal procedures and automatic differentiation tool TAPENADE. Then, we have verified the integrity of the automatic differentiation tool TAPENADE.