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Numerical smoothing of Runge–Kutta schemes

✍ Scribed by Tong Sun

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
552 KB
Volume
233
Category
Article
ISSN
0377-0427

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✦ Synopsis

First we give an intuitive explanation of the general idea of [1]: consistency and numerical smoothing implies convergence and, in addition, enables error estimates. Then, we briefly discuss some of the advantages of numerical smoothing over numerical stability in error analysis. The main aim of this paper is to introduce a smoothing function and use it to investigate the smoothing properties of some familiar schemes.

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