Bromwich contour

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Bromwich contour

[′bräm‚wich ‚kän‚tu̇r]

(mathematics)

A path of integration in the complex plane running from c - i ∞ to c + i ∞, where c is a real, positive number chosen so that the path lies to the right of all singularities of the analytic function under consideration.

References in periodicals archive ?

We therefore make extensive use of the numerical inversion procedure described by Weideman and Trefethen in [17] which defines a contour of integration that maps the domain of the Bromwich integral from the entire complex space to the real space, from which we can approximate this integral with a trapezoidal rule.

Analytic inversion of the transform is infeasible and hence the numerical scheme for evaluating the Bromwich integral presented by Weideman and Trefethen in [17] is put to extensive use.

The errors incurred are then discretization error and numerical inversion of the Bromwich integral which is O([10.2.sup.-N]) [17].

Application of Nonlinear Time-Fractional Partial Differential Equations to Image Processing via Hybrid Laplace Transform Method

where (c) indicates the Bromwich integral along the vertical line a = c, --i < t < 1 and '(s) is defined by (1.4).

On the product of Hurwitz zeta-functions

In general, [L.sup.-1] F is solved by using Laplace transform tables or the Bromwich integral [1, 13].

Numerical Real Inversion of the Laplace Transform by Using Multiple-Precision Arithmetic

For the transient analysis, the function in the complex frequency domain F(s) is transformed into the time domain by the inverse Laplace transform defined by the Bromwich integral

In FILT, the exponential function in the Bromwich integral is approximated by [4,13]

Efficient Analysis of Electromagnetic Fields for Designing Nanoscale Antennas by Using a Boundary Integral Equation Method with Fast Inverse Laplace Transform

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