SUMMARY A numerical algorithm is developed to estimate absolute permeability in multi-
phase, multilayered petroleum reservoirs based upon noisy observation data, such as …

An algorithm is developed, based on the theory of regularization and on spline
approximation, to estimate the absolute permeability in two-phase petroleum reservoirs from …

When deriving rates of convergence for the approximations generated by the application of
Tikhonov regularization to ill–posed operator equations, assumptions must be made about …

The estimation of absolute and relative permeabilities for petroleum reservoirs on the basis
of noisy data at wells is considered. The spatially varying absolute permeability is estimated …

In this paper three methods are derived for approximating f, given its Laplace transform g on
$(0,\infty) $, ie, $\smallint _0^\infty {f (t)\exp (-st) dt= g (s)} $. Assuming that $ g\in {L …

First, we present a method for choosing the regularization parameter in iterated Tikhonov
regularization for solving ill-posed linear operator equations that leads to optimal …

Existing methods for solving inverse problems in earth structure determination have not fully
exploited the Backus-Gilbert approach to handling nonuniqueness. I develop a theory of …

The theory of identification of variable coefficients in parabolic distributed parameter systems
by regularization is extended to the case in which the stabilizing functional is the norm of a …

We develop several iterative methods for computing generalized inverses using both first
and second order optimization methods in C*-algebras. Known steepest descent iterative …

Recently, electromagnetic and ultrasonic imaging of inhomogeneous objects by applying
the moment-method procedures of forward scattering problems in the reverse s sequence …