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An overrelaxation for a numerical inverse of a constant

Communications of the ACM, 1980
When division is performed by a power series implementation with additions, subtractions, digit shifts, and multiplications, the convergence rate of the power series is important in practical application. Particularly if the rate of the power series is close to one, the convergence is slow and therefore a special method to accelerate the convergence is
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Numerical Inversion of a Characteristic Function

Biometrika, 1973
SUMMARY A method is described for finding a bound on the error when a version of the usual characteristic function inversion formula is evaluated by numerical integration. The method is applied to the calculation of the distribution function of a quadratic form in normal random variables.
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The inverse planetary problem: a numerical treatment

Earth, Moon, and Planets, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geroyannis, V. S., Valvi, F. N.
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Numerical Approach to Inverse Flight Dynamics

Journal of Guidance, Control, and Dynamics, 1997
We develop a general numerical approach to inverse problems of vehicle dynamics, suitable for both e xed- and rotating-wing aircrafts. The formulation is based on an energy-preserving e nite element in time for rigid body dynamics that ensures unconditional stability according to the energy method.
BORRI, MARCO   +2 more
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Inverse Problems Light: Numerical Differentiation

The American Mathematical Monthly, 2001
(2001). Inverse Problems Light: Numerical Differentiation. The American Mathematical Monthly: Vol. 108, No. 6, pp. 512-521.
Martin Hanke, Otmar Scherzer
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Numerical Stability in an Inverse Scattering Problem

SIAM Journal on Numerical Analysis, 1980
The main result of this paper is a stability theorem for a certain class of difference algorithms designed to give approximate solutions of a model inverse scattering problem in one dimension. This stability result guarantees the convergence of the approximate solutions to the exact solution of the problem as the grid of the difference scheme is ...
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Numerical inverse computation of reflectivity

High Power Laser and Particle Beams, 2013
By analyzing the one-dimensional heat transfer equation under the heat flux boundary condition, a numerical method for inverse computation from the back surface temperature data to the front surface reflectivity data is proposed. The inversely computing program is verified by the positive and inverse computation of one-dimensional heat transfer.
金云声 Jin Yunsheng   +6 more
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A Numerical Approach to the Inverse Toeplitz Eigenproblem

SIAM Journal on Scientific and Statistical Computing, 1988
The author proposes an iterative procedure for the inverse Toeplitz eigenproblems: diagonalize the current approximation \(T_ k\) to the required matrix to determine the corresponding matrix of eigenvectors \(Q_ k\), then construct \(T_{k+1}\) as the Toeplitz matrix which has the given eigenvalues as its Rayleigh quotients associated with the ...
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Numerical methods for elliptic inverse problems

International Journal of Computer Mathematics, 1998
Identifying physical parameters in elliptic boundary value problems is formulated as a constrained minimization problem using the output least squares method with the H l-regularization or the BV-regularization. The constrained minimization problem is then discretized by finite element methods and the discretization is shown to be convergent for both ...
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A Note on the Numerical Inversion of the Laplace Transform

2006
The aim of this paper is to show that the recently developed high performance divide and conquer algorithm for finding trigonometric sums can be applied to improve the performance of the Talbot's method for the numerical inversion of the Laplace Transform on modern computer architectures including shared memory parallel computers.
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