๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On a fourth-order unconditionally stable scheme for damped second-order systems

โœ Scribed by Steven M. Serbin

Book ID
107875925
Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
525 KB
Volume
23
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

A monotonically-damping second-order-acc
A monotonically-damping second-order-accurate unconditionally-stable numerical scheme for diffusion
โœ Nigel Wood; Michail Diamantakis; Andrew Staniforth ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 662 KB

## Abstract We present a new twoโ€step temporal discretization of the diffusion equation, which is formally secondโ€orderโ€accurate and unconditionally stable. A novel aspect of the scheme is that it is monotonically damping: the damping rate is a monotonicallyโ€increasing function of the diffusion coe

An unconditionally stable spline differe
An unconditionally stable spline difference scheme of for solving the second-order 1D linear hyperbolic equation
โœ Huan-Wen Liu; Li-Bin Liu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 535 KB

In this paper, the second-order linear hyperbolic equation is solved by using a new threelevel difference scheme based on quartic spline interpolation in space direction and finite difference discretization in time direction. Stability analysis of the scheme is carried out. The proposed scheme is se