𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An exponentially-fitted and trigonometrically-fitted method for the numerical solution of periodic initial-value problems

✍ Scribed by A. Konguetsof; T.E. Simos

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
367 KB
Volume
45
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

The new method is exponentially fitted and trigonometrically-fitted and is of algebraic order eight. The effectiveness of the exponential fitting is proved by the application of the new method and the classical one (with constant coefficients) to well-known periodic problems. (~) 2003 Elsevier Science Ltd. All rights reserved.

📜 SIMILAR VOLUMES

An exponentially-fitted Runge-Kutta meth
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
✍ T.E. Simos 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 335 KB

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems wi',h periodic or oscillating solutions is developed in this paper. Numerical and theoretical results obtained for several well known problems show the efficiency of the new method. (~

Exponentially-fitted Runge-Kutta-Nyström
Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions
✍ T.E. Simos 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 545 KB

new approach for constructing efficient RungeKutta-Nystrom methods is introduced in this paper. Based on this new approach a new exponentially-fitted Runge-KuttaNystrGm fourth-algebraic-order method is obtained for the numerical solution of initial-value problems with oscillating solutions. The new