The design and analysis of numerical methods are usually guided by the following:(a) von
Neumann analysis using Fourier series expansion of unknowns,(b) the modified differential …

Compact schemes are often preferred in performing scientific computing for their superior
spectral resolution. Error-free parallelization of a compact scheme is a challenging task due …

Numerical methods producing acceptable results for a long time abruptly blow up, without
providing any indication of localized onset of sudden numerical instability. This has been …

An analysis is reported here for three-time level integration methods following the global
spectral analysis (GSA) described in High Accuracy Computing Methods, TK Sengupta …

Here, we explain the phenomenon of focusing using the numerical properties of space–time
discretization methods involving second-order Adams–Bashforth (AB2) method for the …

The phenomenon of focusing is associated with abrupt blow-up of numerical solution, after
the simulation has gone on for a very long computing time, to exclude the possibility of …