14 


15 


16 
\section{Some Remarks on Lumping} 
\section{Some Remarks on Lumping} 
17 
\label{REMARKS ON LUMPING} 
\label{LUMPING} 
18 


19 
Explicit time integration schemes (two examples are discussed later in this 
Explicit time integration schemes (two examples are discussed later in this 
20 
section), require very small time steps in order to maintain numerical stability. 
section), require very small time steps in order to maintain numerical stability. 
226 
\label{FIG LUMPING SUPG B} 
\label{FIG LUMPING SUPG B} 
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\end{figure} 
\end{figure} 
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\subsection{Sumamry} 
\subsection{Summary} 
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The examples in this section have demonstrated the capabilities and limitations 
The examples in this section have demonstrated the capabilities and limitations 
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of both HRZ and row sum lumping with comparisons to the exact and full mass 
of both HRZ and row sum lumping with comparisons to the exact and full mass 
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matrix solutions. Wave propagation type problems that utilise lumping, produce 
matrix solutions. Wave propagation type problems that utilise lumping, produce 