\@writefile{toc}{\author{H. Wang}{}}
\@writefile{toc}{\author{H. Yu}{}}
\@writefile{loa}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {chapter}{\numberline {1}GPU-Accelerated Envelope-Following Method}{3}}
+\@writefile{toc}{\contentsline {chapter}{\numberline {15}GPU-Accelerated Envelope-Following Method}{341}}
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {section}{\numberline {1.1}Introduction}{3}}
-\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
-\newlabel{fig:ef1}{{1.1(a)}{5}}
-\newlabel{sub@fig:ef1}{{(a)}{5}}
-\newlabel{fig:ef2}{{1.1(b)}{5}}
-\newlabel{sub@fig:ef2}{{(b)}{5}}
-\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{5}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{5}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{5}}
-\newlabel{fig:ef_intro}{{1.1}{5}}
-\@writefile{toc}{\contentsline {section}{\numberline {1.2}The envelope-following method in a nutshell}{6}}
-\newlabel{sec:ef}{{1.2}{6}}
-\newlabel{eq:dae}{{1.1}{6}}
-\newlabel{eq:Newton}{{1.2}{7}}
-\newlabel{eq:A}{{1.3}{7}}
-\@writefile{toc}{\contentsline {section}{\numberline {1.3}New parallel envelope-following method}{8}}
-\newlabel{sec:gmres}{{1.3}{8}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.1}GMRES solver for Newton update equation}{8}}
-\@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces The flow of envelope-following method.\relax }}{9}}
-\newlabel{fig:ef_flow}{{1.2}{9}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.2}Parallelization on GPU platforms}{10}}
-\newlabel{sec:gpu}{{1.3.2}{10}}
-\@writefile{lof}{\contentsline {figure}{\numberline {1.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{11}}
-\newlabel{fig:gmres}{{1.3}{11}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.3}Gear-2 based sensitivity calculation}{12}}
-\newlabel{sec:gear}{{1.3.3}{12}}
-\newlabel{eq:BE}{{1.4}{12}}
-\newlabel{eq:sens1}{{1.5}{12}}
-\newlabel{eq:Gear_t2}{{1.6}{13}}
-\newlabel{eq:sens2}{{1.7}{13}}
-\newlabel{eq:Gear_t3}{{1.8}{13}}
-\newlabel{eq:sensM}{{1.9}{13}}
-\@writefile{toc}{\contentsline {section}{\numberline {1.4}Numerical examples}{14}}
-\newlabel{sec:exp}{{1.4}{14}}
-\@writefile{lof}{\contentsline {figure}{\numberline {1.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{15}}
-\newlabel{fig:flyback}{{1.4}{15}}
-\@writefile{lof}{\contentsline {figure}{\numberline {1.5}{\ignorespaces Illustration of power/ground network model.\relax }}{15}}
-\newlabel{fig:pg}{{1.5}{15}}
-\@writefile{lot}{\contentsline {table}{\numberline {1.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{15}}
-\newlabel{table:circuit}{{1.1}{15}}
-\newlabel{fig:flybackWhole}{{1.6(a)}{16}}
-\newlabel{sub@fig:flybackWhole}{{(a)}{16}}
-\newlabel{fig:flybackZoom}{{1.6(b)}{16}}
-\newlabel{sub@fig:flybackZoom}{{(b)}{16}}
-\@writefile{lof}{\contentsline {figure}{\numberline {1.6}{\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 }}{16}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{16}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{16}}
-\newlabel{fig:flyback_wave}{{1.6}{16}}
-\@writefile{lof}{\contentsline {figure}{\numberline {1.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{17}}
-\newlabel{fig:buck_wave}{{1.7}{17}}
-\@writefile{toc}{\contentsline {section}{\numberline {1.5}Summary}{17}}
-\newlabel{sec:summary}{{1.5}{17}}
-\@writefile{toc}{\contentsline {section}{\numberline {1.6}Glossary}{18}}
-\@writefile{toc}{\contentsline {section}{Bibliography}{18}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.1}Introduction}{341}}
+\newlabel{fig:ef1}{{15.1(a)}{343}}
+\newlabel{sub@fig:ef1}{{(a)}{343}}
+\newlabel{fig:ef2}{{15.1(b)}{343}}
+\newlabel{sub@fig:ef2}{{(b)}{343}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{343}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{343}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{343}}
+\newlabel{fig:ef_intro}{{15.1}{343}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.2}The envelope-following method in a nutshell}{344}}
+\newlabel{sec:ef}{{15.2}{344}}
+\newlabel{eq:dae}{{15.1}{344}}
+\newlabel{eq:Newton}{{15.2}{345}}
+\newlabel{eq:A}{{15.3}{345}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.3}New parallel envelope-following method}{346}}
+\newlabel{sec:gmres}{{15.3}{346}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.1}GMRES solver for Newton update equation}{346}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.2}{\ignorespaces The flow of envelope-following method.\relax }}{347}}
+\newlabel{fig:ef_flow}{{15.2}{347}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {14}{\ignorespaces Standard GMRES algorithm.\relax }}{348}}
+\newlabel{alg:GMRES}{{14}{348}}
+\newlabel{line:mvp}{{5}{348}}
+\newlabel{line:newnorm}{{11}{348}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.2}Parallelization on GPU platforms}{348}}
+\newlabel{sec:gpu}{{15.3.2}{348}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{349}}
+\newlabel{fig:gmres}{{15.3}{349}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.3}Gear-2 based sensitivity calculation}{350}}
+\newlabel{sec:gear}{{15.3.3}{350}}
+\newlabel{eq:BE}{{15.4}{350}}
+\newlabel{eq:sens1}{{15.5}{350}}
+\newlabel{eq:Gear_t2}{{15.6}{351}}
+\newlabel{eq:sens2}{{15.7}{351}}
+\newlabel{eq:Gear_t3}{{15.8}{351}}
+\newlabel{eq:sensM}{{15.9}{351}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {15}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{352}}
+\newlabel{alg:mf_Gear}{{15}{352}}
+\newlabel{line:mf_Gear_loop}{{4}{352}}
+\newlabel{line:shift}{{8}{352}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.4}Numerical examples}{352}}
+\newlabel{sec:exp}{{15.4}{352}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{353}}
+\newlabel{fig:flyback}{{15.4}{353}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.5}{\ignorespaces Illustration of power/ground network model.\relax }}{353}}
+\newlabel{fig:pg}{{15.5}{353}}
+\newlabel{fig:flybackWhole}{{15.6(a)}{354}}
+\newlabel{sub@fig:flybackWhole}{{(a)}{354}}
+\newlabel{fig:flybackZoom}{{15.6(b)}{354}}
+\newlabel{sub@fig:flybackZoom}{{(b)}{354}}
+\@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 }}{354}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{354}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{354}}
+\newlabel{fig:flyback_wave}{{15.6}{354}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{355}}
+\newlabel{fig:buck_wave}{{15.7}{355}}
+\@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 }}{355}}
+\newlabel{table:circuit}{{15.1}{355}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.5}Summary}{356}}
+\newlabel{sec:summary}{{15.5}{356}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.6}Glossary}{356}}
+\@writefile{toc}{\contentsline {section}{Bibliography}{356}}
\@setckpt{Chapters/chapter16/ch16}{
-\setcounter{page}{20}
+\setcounter{page}{358}
\setcounter{equation}{9}
-\setcounter{enumi}{0}
+\setcounter{enumi}{2}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{22}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{1}
-\setcounter{chapter}{1}
+\setcounter{chapter}{15}
\setcounter{section}{6}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{figure}{7}
\setcounter{table}{1}
\setcounter{numauthors}{0}
-\setcounter{parentequation}{0}
+\setcounter{parentequation}{4}
\setcounter{subfigure}{0}
\setcounter{lofdepth}{1}
\setcounter{subtable}{0}
\setcounter{lotdepth}{1}
-\setcounter{lstnumber}{1}
+\setcounter{lstnumber}{9}
\setcounter{ContinuedFloat}{0}
-\setcounter{AlgoLine}{0}
-\setcounter{algocfline}{0}
-\setcounter{algocfproc}{0}
-\setcounter{algocf}{0}
-\setcounter{proposition}{0}
+\setcounter{AlgoLine}{8}
+\setcounter{algocfline}{15}
+\setcounter{algocfproc}{15}
+\setcounter{algocf}{15}
+\setcounter{proposition}{1}
\setcounter{theorem}{0}
\setcounter{exercise}{0}
\setcounter{example}{0}
\setcounter{definition}{0}
-\setcounter{proof}{0}
+\setcounter{proof}{1}
\setcounter{lstlisting}{0}
}
