✦ LIBER ✦

Partitioning ordinary differential equations using Runge-Kutta methods

✍ Scribed by Mohamed B. Suleiman; Fudziah Bt. Ismail; Kamel Ariffin B.M. Atan

Book ID: 118382501
Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 695 KB
Volume: 79
Category: Article
ISSN: 0096-3003
DOI: 10.1016/0096-3003(95)00247-2

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Runge–Kutta methods for linear ordinary

Runge–Kutta methods for linear ordinary differential equations

✍ D.W. Zingg; T.T. Chisholm 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 107 KB

Three new Runge-Kutta methods are presented for numerical integration of systems of linear inhomogeneous ordinary differential equations (ODEs) with constant coefficients. Such ODEs arise in the numerical solution of partial differential equations governing linear wave phenomena. The restriction to

A partitioned parallel Runge-Kutta metho

A partitioned parallel Runge-Kutta method for weakly coupled ordinary differential equations

✍ R. P. Mattione; I. N. Katz; M. A. Franklin 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 642 KB

## Abstract In many systems it is known __a priori__, that some states are ony weakly coupled with others. If such systems are solved on parallel processor it is possible to partition the states in such a way that one set of states is assigned to one processor and the other set of weakly coupled st

Continuous two-step Runge–Kutta methods

Continuous two-step Runge–Kutta methods for ordinary differential equations

✍ Raffaele D’Ambrosio; Zdzislaw Jackiewicz 📂 Article 📅 2009 🏛 Springer US 🌐 English ⚖ 861 KB

Regularity properties of Runge-Kutta met

Regularity properties of Runge-Kutta methods for ordinary differential equations

✍ Z. Jackiewicz; R. Vermiglio; M. Zennaro 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 518 KB

We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p : 2, 3 and 4, where s is the

Implicit Runge–Kutta Methods for Lipschi

Implicit Runge–Kutta Methods for Lipschitz Continuous Ordinary Differential Equations

✍ Chen, Xiaojun; Mahmoud, Sayed 📂 Article 📅 2008 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 283 KB

Rational Runge-Kutta methods for solving

Rational Runge-Kutta methods for solving systems of ordinary differential equations

✍ A. Wambecq 📂 Article 📅 1978 🏛 Springer Vienna 🌐 English ⚖ 382 KB