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Estimates of the error of a Runge-Kutta method and the choice of optimal meshes

✍ Scribed by A.H. Tikhonov; A.D. Gorbunov


Publisher
Elsevier Science
Year
1964
Weight
675 KB
Volume
4
Category
Article
ISSN
0041-5553

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A Composite Runge–Kutta Method for the S
✍ Tobin A. Driscoll πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 202 KB

A new composite Runge-Kutta (RK) method is proposed for semilinear partial differential equations such as Korteweg-de Vries, nonlinear SchrΓΆdinger, Kadomtsev-Petviashvili (KP), Kuramoto-Sivashinsky (KS), Cahn-Hilliard, and others having high-order derivatives in the linear term. The method uses Four