We present two error estimation approaches for bounding or correcting the error in functional estimates such as lift or drag. Adjoint methods quantify the error in a particular output functional thatâ€¦ (More)

whelming. On the other hand, the development of efficient numerical methods for solution of the Navierâ€“Stokes equaEfficient preconditioned multigrid methods are developed for both inviscid andâ€¦ (More)

Optimal design methods involving the solution of an adjoint system of equations are an active area of research in computational fluid dynamics, particularly for aeronautical applications. This paperâ€¦ (More)

In this paper an unstructured multigrid algorithm is used as an iterative solution procedure for the discrete equations arising from an implicit time discretisation of the unsteady Euler equations onâ€¦ (More)

Several parameters of androgen action were measured in hormone-dependent Shionogi carcinoma cells during phases of growth, regression, and recurrence. In the parental C1 line under steady stateâ€¦ (More)

When approximating the solutions of partial differential equations, it is a few key output integrals which are often of most concern. This paper shows how the accuracy of these values can be improvedâ€¦ (More)

Monte Carlo methods are used extensively in computational finance to estimate the price of financial derivative options. In this paper we review the use of quasi-Monte Carlo methods to obtain theâ€¦ (More)

We investigate the extension of the multilevel Monte Carlo method [4, 5] to the calculation of Greeks. The pathwise sensitivity analysis [8] differentiates the path evolution and effectively reducesâ€¦ (More)

In recent years, there has been rapid progress in aerodynamic optimization methods which use adjoint ow analysis to e ciently calculate the sensitivity of steady-state objective functions to changesâ€¦ (More)