\input{Chapters/chapter16/gpu.tex}
\input{Chapters/chapter16/exp.tex}
+\clearpage
\section{Summary}
\label{sec:summary}
-In this chapter, we present a new envelope-following method for
+In this chapter, we have presented a new envelope-following method for
transient analysis of switching power converters. First, the
-computationally expensive step, the solving of Newton update equation,
+computationally expensive step, the solving of the Newton update equation,
has been parallelized on CUDA-enabled GPU platforms with iterative
GMRES solver to boost performance of the analysis method. To further
-speed up the GMRES solving for Newton update equation, we have
+speed up the GMRES solving for the Newton update equation, we have
employed the matrix-free Krylov basis generation technique. The
proposed method also applies the more robust Gear-2 integration to
compute the sensitivity matrix. Experimental results from several
integrated on-chip power converters have shown that the proposed GPU
envelope-following algorithm can lead to about 10$\times$ speedup
compared to its CPU counterpart, and 100$\times$ faster than the
-traditional envelope-following methods while still keeps the similar
+traditional envelope-following methods while still keep the similar
accuracy.
\begin{Glossary}
\item[Envelope-Following] In transient simulation of switching power circuits,
nodal voltage waveforms in neighboring high frequency clock cycles are similar,
-but not exactly the duplicates. Envelope-following technique approximates
+but not exactly duplicates. Envelope-following technique approximates
the slowly changing transient trend over a lot of clock cycles
without calculating waveforms in all cycles.
\end{Glossary}
