Principal-value integrals by a simple and accurate finite-interval method
Computers in Physics
Computing in Science and Engineering
Computing in Science and Engineering
On the Evaluation of Finite Hilbert Transforms
Computing in Science and Engineering
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As we attempt more sophisticated projects in science and engineering, the mathematical tools we apply to them also become more sophisticated. Because so few problems lend themselves to closed-form solution, we often need to convert formal definitions into practical numerical methods. One such problem deals with the Principal Value integral, which many students encounter in a course on functions of a complex variable. However, the prospect of evaluating one numerically might seem rather daunting. To the best of my knowledge, the subject remains outside the treatments of numerical quadrature found in treatises on numerical analysis.