𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal first- to sixth-order accurate Runge-Kutta schemes

✍ Scribed by E. A. Alshina; E. M. Zaks; N. N. Kalitkin

Book ID
110194864
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
227 KB
Volume
48
Category
Article
ISSN
0965-5425

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Optimal Runge–Kutta Methods for First Or
Optimal Runge–Kutta Methods for First Order Pseudospectral Operators
✍ J.L Mead; R.A Renaut 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 132 KB

New Runge-Kutta methods for method of lines solution of systems of ordinary differential equations arising from discretizations of spatial derivatives in hyperbolic equations, by Chebyshev or modified Chebyshev methods, are introduced. These Runge-Kutta methods optimize the time step necessary for s

Order optimal preconditioners for fully
Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations
✍ Trygve K. Nilssen; Gunnar A. Staff; Kent-Andre Mardal 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 869 KB

The partial differential equation part of the bidomain equations is discretized in time with fully implicit Runge-Kutta methods, and the resulting block systems are preconditioned with a block diagonal preconditioner. By studying the time-stepping operator in the proper Sobolev spaces, we show that