๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution

โœ Scribed by T.E Simos


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
399 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis


A dissipative trigonometrically-fitted two-step explicit hybrid method is constructed in this paper. This method is based on a dissipative explicit two-step method developed recently by Tsitouras [1]. Numerical examples show that the procedure of trigonometrical fitting is an efficient way for one to produce numerical methods for the solution of second-order linear initial value problems (IVPs) with oscillating solutions. (~) 2004 Elsevier Ltd. All rights reserved.


๐Ÿ“œ SIMILAR VOLUMES


An explicit Numerov-type method for seco
โœ Hans Van de Vyver ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 598 KB

In this paper a new explicit Numerov-type method is introduced. The construction is based on a modification of a sixth-order explicit Numerov-type method recently developed by Tsitouras [Ch. Tsitouras, Explicit Numerov type methods with reduced number of stages, Comput. Math. Appl. 45 (2003) 37-42].