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The frontal method can be very efficient for solving such systems on modern computer architectures because, in the innermost loop of the computation, the method exploits dense linear algebra kernels, which are straightforward to vectorize and parallelize.
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The new schemes are straightforward to implement.
It is straightforward to understand this.
It is straightforward to verify that.
It is straightforward to deduce that.
It is straightforward to show that (12).
It is straightforward to extend Eqs.
It is straightforward to check that.
We focus on the fact that, on some architectures, compilers are unable to vectorize and on other architectures, vectorizing compilers are not efficient.
Steps 1 to 3 are straightforward.
The computer code for the scheme is easy to vectorize.
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