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This paper aims to propose an adaptive method for the numerical solution of the shallow water equations (SWEs). The authors provide an arbitrary high-order method using high-order spline wavelets. Furthermore, they use a non-linear shock capturing (SC) diffusion which removes the necessity of post-processing.

The authors use a space-time weak formulation of SWEs which exploits continuous Galerkin (cG) in space and discontinuous Galerkin (dG) in time allowing time stepping, also known as cGdG. Such formulations along with SC term have recently been proved to ensure the stability of fully discrete schemes without scarifying the accuracy. However, the resulting scheme is expensive in terms of number of degrees of freedom (DoFs). By using natural adaptivity of wavelet expansions, the authors devise an adaptive algorithm to reduce the number of DoFs.

The proposed algorithm uses DoFs in a dynamic way to capture the shocks in all time steps while keeping the representation of approximate solution sparse. The performance of the proposed scheme is shown through some numerical examples.

An incorporation of wavelets for adaptivity in space-time weak formulations applied for SWEs is proposed.

The objective of this study is to investigate the effect of change management (CM) on employee productivity (EP). A double-layered conceptual model involving resistance to change and emotional intelligence (EI) as moderators and employee engagement (EE) as a mediator between CM and EP.

Four industries from India (education, healthcare, information technology and manufacturing) are selected to test the hypothesized relationships. The data from 406 respondents were collected through a survey instrument and was analyzed using Hayes’s PROCESS macros.

The results reveal that CM is a precursor to EE and EP. The findings also indicate that resistance to change (first moderator) and EI (second moderator) significantly influenced the relationship between CM and EP mediated through EE.

As with any social science research, this study suffers from the limitations of common method bias and social desirability bias. However, the researchers have taken adequate care to minimize these biases. This study has several theoretical and practical implications.

The moderated-mediated model concerning CM is the first of its kind to study in the Indian context and hence makes a substantial contribution to the literature on CM. The implications for theory and practice are discussed.