Evaluating a double integral using Euler's method and Richardson extrapolation

We transform a double integral into a second-order initial value problem, which we solve using Euler's method and Richardson extrapolation. For an example we consider, we achieve accuracy close to machine precision (~10-13). We find that the algorithm is capable of determining the error curve...

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Bibliographic Details
Main Author: Justin Steven Calder Prentice
Format: Article
Language:English
Published: Vilnius University Press 2024-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://ojs.test/index.php/LMR/article/view/38091
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