✦ LIBER ✦

High-order explicit Runge-Kutta pairs with low stage order

✍ Scribed by J.H. Verner

Book ID: 108415895
Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 789 KB
Volume: 22
Category: Article
ISSN: 0168-9274
DOI: 10.1016/s0168-9274(96)00041-4

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

High order explicit Runge–Kutta Nyström

High order explicit Runge–Kutta Nyström pairs

✍ Philip W. Sharp, Mohammad A. Qureshi, Kevin R. Grazier 📂 Article 📅 2012 🏛 Springer US 🌐 English ⚖ 328 KB

On implicit Runge-Kutta methods with hig

On implicit Runge-Kutta methods with high stage order

✍ C. Bendtsen 📂 Article 📅 1997 🏛 Springer Netherlands 🌐 English ⚖ 235 KB

High Phase-Lag-Order Runge--Kutta and Ny

High Phase-Lag-Order Runge--Kutta and Nyström Pairs

✍ Papakostas, S. N.; Tsitouras, Ch. 📂 Article 📅 1999 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 359 KB

A high-order explicit Runge-Kutta pair f

A high-order explicit Runge-Kutta pair for initial value problems with oscillating solutions

✍ C. Tsitouras 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 271 KB

A new Runge-Kutta-pair of orders eight and seven is presented here. The proposed pair when applied with small step-size to the test equation ~ = /wy, w real, has amplification factors very near to unit. This is very important then, because the numerical solution stays close to the cyclic solution of

The non-existence of ten stage eighth or

The non-existence of ten stage eighth order explicit Runge-Kutta methods

✍ J. C. Butcher 📂 Article 📅 1985 🏛 Springer Netherlands 🌐 English ⚖ 892 KB

A parameter study of explicit Runge-Kutt

A parameter study of explicit Runge-Kutta pairs of orders 6(5)

✍ Ch Tsitouras 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 332 KB

## Communicated by P. Kaps Abstract--Improvements over a Runge-Kutta pair of orders six and five are presented in this paper. Methods with minimised truncation errors, phase-lag errors, dissipation errors, and with extended stability regions are given and tested in the standard test problems withi