\@writefile{toc}{\author{H. Wang}{}}
\@writefile{toc}{\author{H. Yu}{}}
\@writefile{loa}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {chapter}{\numberline {15}GPU-Accelerated Envelope-Following Method}{343}}
+\@writefile{toc}{\contentsline {chapter}{\numberline {16}GPU-Accelerated Envelope-Following Method}{375}}
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {section}{\numberline {15.1}Introduction}{343}}
-\newlabel{fig:ef1}{{15.1(a)}{345}}
-\newlabel{sub@fig:ef1}{{(a)}{345}}
-\newlabel{fig:ef2}{{15.1(b)}{345}}
-\newlabel{sub@fig:ef2}{{(b)}{345}}
-\@writefile{lof}{\contentsline {figure}{\numberline {15.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{345}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{345}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{345}}
-\newlabel{fig:ef_intro}{{15.1}{345}}
-\@writefile{toc}{\contentsline {section}{\numberline {15.2}The envelope-following method in a nutshell}{346}}
-\newlabel{sec:ef}{{15.2}{346}}
-\newlabel{eq:dae}{{15.1}{346}}
-\newlabel{eq:Newton}{{15.2}{347}}
-\newlabel{eq:A}{{15.3}{347}}
-\@writefile{toc}{\contentsline {section}{\numberline {15.3}New parallel envelope-following method}{348}}
-\newlabel{sec:gmres}{{15.3}{348}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.1}GMRES solver for Newton update equation}{348}}
-\@writefile{lof}{\contentsline {figure}{\numberline {15.2}{\ignorespaces The flow of envelope-following method.\relax }}{349}}
-\newlabel{fig:ef_flow}{{15.2}{349}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {14}{\ignorespaces Standard GMRES algorithm.\relax }}{350}}
-\newlabel{alg:GMRES}{{14}{350}}
-\newlabel{line:mvp}{{5}{350}}
-\newlabel{line:newnorm}{{11}{350}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.2}Parallelization on GPU platforms}{350}}
-\newlabel{sec:gpu}{{15.3.2}{350}}
-\@writefile{lof}{\contentsline {figure}{\numberline {15.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{351}}
-\newlabel{fig:gmres}{{15.3}{351}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.3}Gear-2 based sensitivity calculation}{352}}
-\newlabel{sec:gear}{{15.3.3}{352}}
-\newlabel{eq:BE}{{15.4}{352}}
-\newlabel{eq:sens1}{{15.5}{352}}
-\newlabel{eq:Gear_t2}{{15.6}{353}}
-\newlabel{eq:sens2}{{15.7}{353}}
-\newlabel{eq:Gear_t3}{{15.8}{353}}
-\newlabel{eq:sensM}{{15.9}{353}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {15}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{354}}
-\newlabel{alg:mf_Gear}{{15}{354}}
-\newlabel{line:mf_Gear_loop}{{4}{354}}
-\newlabel{line:shift}{{8}{354}}
-\@writefile{toc}{\contentsline {section}{\numberline {15.4}Numerical examples}{354}}
-\newlabel{sec:exp}{{15.4}{354}}
-\@writefile{lof}{\contentsline {figure}{\numberline {15.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{355}}
-\newlabel{fig:flyback}{{15.4}{355}}
-\@writefile{lof}{\contentsline {figure}{\numberline {15.5}{\ignorespaces Illustration of power/ground network model.\relax }}{355}}
-\newlabel{fig:pg}{{15.5}{355}}
-\newlabel{fig:flybackWhole}{{15.6(a)}{356}}
-\newlabel{sub@fig:flybackWhole}{{(a)}{356}}
-\newlabel{fig:flybackZoom}{{15.6(b)}{356}}
-\newlabel{sub@fig:flybackZoom}{{(b)}{356}}
-\@writefile{lof}{\contentsline {figure}{\numberline {15.6}{\ignorespaces Flyback converter solution calculated by envelope-following. The red curve is traditional SPICE simulation result, and the back curve is the envelope-following output with simulation points marked.\relax }}{356}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{356}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{356}}
-\newlabel{fig:flyback_wave}{{15.6}{356}}
-\@writefile{lof}{\contentsline {figure}{\numberline {15.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{357}}
-\newlabel{fig:buck_wave}{{15.7}{357}}
-\@writefile{lot}{\contentsline {table}{\numberline {15.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{357}}
-\newlabel{table:circuit}{{15.1}{357}}
-\@writefile{toc}{\contentsline {section}{\numberline {15.5}Summary}{358}}
-\newlabel{sec:summary}{{15.5}{358}}
-\@writefile{toc}{\contentsline {section}{\numberline {15.6}Glossary}{358}}
-\@writefile{toc}{\contentsline {section}{Bibliography}{358}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.1}Introduction}{375}}
+\newlabel{fig:ef1}{{16.1(a)}{377}}
+\newlabel{sub@fig:ef1}{{(a)}{377}}
+\newlabel{fig:ef2}{{16.1(b)}{377}}
+\newlabel{sub@fig:ef2}{{(b)}{377}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{377}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{377}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{377}}
+\newlabel{fig:ef_intro}{{16.1}{377}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.2}The envelope-following method in a nutshell}{378}}
+\newlabel{sec:ef}{{16.2}{378}}
+\newlabel{eq:dae}{{16.1}{378}}
+\newlabel{eq:Newton}{{16.2}{379}}
+\newlabel{eq:A}{{16.3}{379}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.3}New parallel envelope-following method}{380}}
+\newlabel{sec:gmres}{{16.3}{380}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.1}GMRES solver for Newton update equation}{380}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.2}{\ignorespaces The flow of envelope-following method.\relax }}{381}}
+\newlabel{fig:ef_flow}{{16.2}{381}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {17}{\ignorespaces Standard GMRES algorithm.\relax }}{382}}
+\newlabel{alg:GMRES}{{17}{382}}
+\newlabel{line:mvp}{{5}{382}}
+\newlabel{line:newnorm}{{11}{382}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.2}Parallelization on GPU platforms}{382}}
+\newlabel{sec:gpu}{{16.3.2}{382}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{383}}
+\newlabel{fig:gmres}{{16.3}{383}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.3}Gear-2 based sensitivity calculation}{384}}
+\newlabel{sec:gear}{{16.3.3}{384}}
+\newlabel{eq:BE}{{16.4}{384}}
+\newlabel{eq:sens1}{{16.5}{384}}
+\newlabel{eq:Gear_t2}{{16.6}{385}}
+\newlabel{eq:sens2}{{16.7}{385}}
+\newlabel{eq:Gear_t3}{{16.8}{385}}
+\newlabel{eq:sensM}{{16.9}{385}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {18}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{386}}
+\newlabel{alg:mf_Gear}{{18}{386}}
+\newlabel{line:mf_Gear_loop}{{4}{386}}
+\newlabel{line:shift}{{8}{386}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.4}Numerical examples}{386}}
+\newlabel{sec:exp}{{16.4}{386}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{387}}
+\newlabel{fig:flyback}{{16.4}{387}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.5}{\ignorespaces Illustration of power/ground network model.\relax }}{387}}
+\newlabel{fig:pg}{{16.5}{387}}
+\newlabel{fig:flybackWhole}{{16.6(a)}{388}}
+\newlabel{sub@fig:flybackWhole}{{(a)}{388}}
+\newlabel{fig:flybackZoom}{{16.6(b)}{388}}
+\newlabel{sub@fig:flybackZoom}{{(b)}{388}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.6}{\ignorespaces Flyback converter solution calculated by envelope-following. The red curve is traditional SPICE simulation result, and the back curve is the envelope-following output with simulation points marked.\relax }}{388}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{388}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{388}}
+\newlabel{fig:flyback_wave}{{16.6}{388}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{389}}
+\newlabel{fig:buck_wave}{{16.7}{389}}
+\@writefile{lot}{\contentsline {table}{\numberline {16.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{389}}
+\newlabel{table:circuit}{{16.1}{389}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.5}Summary}{390}}
+\newlabel{sec:summary}{{16.5}{390}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.6}Glossary}{390}}
+\@writefile{toc}{\contentsline {section}{Bibliography}{390}}
\@setckpt{Chapters/chapter16/ch16}{
-\setcounter{page}{360}
+\setcounter{page}{392}
\setcounter{equation}{9}
\setcounter{enumi}{2}
\setcounter{enumii}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{5}
-\setcounter{chapter}{15}
+\setcounter{chapter}{16}
\setcounter{section}{6}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{lstnumber}{9}
\setcounter{ContinuedFloat}{0}
\setcounter{AlgoLine}{8}
-\setcounter{algocfline}{15}
-\setcounter{algocfproc}{15}
-\setcounter{algocf}{15}
+\setcounter{algocfline}{18}
+\setcounter{algocfproc}{18}
+\setcounter{algocf}{18}
\setcounter{nprt@mantissa@digitsbefore}{0}
\setcounter{nprt@mantissa@digitsafter}{0}
\setcounter{nprt@exponent@digitsbefore}{0}
