**Qualocation Methods for Time
Dependent Partial Differential Equations**

The quadrature based collocation method (called as qualocation) was introduced by Ian Sloan [Numer. Math.
1990] for integral and boundary
integral equations. Subsequently, Sloan et. al. [IMA J. Numer. Anal.
1994] have extended the analysis to two point boundary value problems. To
expand its scope, we have generalised the results to parabolic partial
differential equations and also have obtained some superconvergence results in
[38] and [27] in the list of publications. This also improves upon the results
of Sloan et al. in the context of two point boundary value problems. The above
analysis is recently extended to the wave equations, partial
integro-differential equations and
some nonlinear problems, [27], [33] in the list of publications.

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