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A note on contractivity in the numerical solution of initial value problems

โœ Scribed by M. N. Spijker


Publisher
Springer Netherlands
Year
1987
Tongue
English
Weight
667 KB
Volume
27
Category
Article
ISSN
0006-3835

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The RKGL method for the numerical soluti
โœ J.S.C. Prentice ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 188 KB

We introduce the RKGL method for the numerical solution of initial-value problems of the form y =f (x, y), y(a)= . The method is a straightforward modification of a classical explicit Runge-Kutta (RK) method, into which Gauss-Legendre (GL) quadrature has been incorporated. The idea is to enhance the