\@writefile{toc}{\author{H. Wang}{}}
\@writefile{toc}{\author{H. Yu}{}}
\@writefile{loa}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {chapter}{\numberline {14}GPU-Accelerated Envelope-Following Method}{317}}
+\@writefile{toc}{\contentsline {chapter}{\numberline {15}GPU-Accelerated Envelope-Following Method}{335}}
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {section}{\numberline {14.1}Introduction}{317}}
-\newlabel{fig:ef1}{{14.1(a)}{319}}
-\newlabel{sub@fig:ef1}{{(a)}{319}}
-\newlabel{fig:ef2}{{14.1(b)}{319}}
-\newlabel{sub@fig:ef2}{{(b)}{319}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{319}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{319}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{319}}
-\newlabel{fig:ef_intro}{{14.1}{319}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.2}The envelope-following method in a nutshell}{320}}
-\newlabel{sec:ef}{{14.2}{320}}
-\newlabel{eq:dae}{{14.1}{320}}
-\newlabel{eq:Newton}{{14.2}{321}}
-\newlabel{eq:A}{{14.3}{321}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.3}New parallel envelope-following method}{322}}
-\newlabel{sec:gmres}{{14.3}{322}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.1}GMRES solver for Newton update equation}{322}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.2}{\ignorespaces The flow of envelope-following method.\relax }}{323}}
-\newlabel{fig:ef_flow}{{14.2}{323}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {12}{\ignorespaces Standard GMRES algorithm.\relax }}{324}}
-\newlabel{alg:GMRES}{{12}{324}}
-\newlabel{line:mvp}{{5}{324}}
-\newlabel{line:newnorm}{{11}{324}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.2}Parallelization on GPU platforms}{324}}
-\newlabel{sec:gpu}{{14.3.2}{324}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{325}}
-\newlabel{fig:gmres}{{14.3}{325}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.3}Gear-2 based sensitivity calculation}{326}}
-\newlabel{sec:gear}{{14.3.3}{326}}
-\newlabel{eq:BE}{{14.4}{326}}
-\newlabel{eq:sens1}{{14.5}{326}}
-\newlabel{eq:Gear_t2}{{14.6}{327}}
-\newlabel{eq:sens2}{{14.7}{327}}
-\newlabel{eq:Gear_t3}{{14.8}{327}}
-\newlabel{eq:sensM}{{14.9}{327}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {13}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{328}}
-\newlabel{alg:mf_Gear}{{13}{328}}
-\newlabel{line:mf_Gear_loop}{{4}{328}}
-\newlabel{line:shift}{{8}{328}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.4}Numerical examples}{328}}
-\newlabel{sec:exp}{{14.4}{328}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{329}}
-\newlabel{fig:flyback}{{14.4}{329}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.5}{\ignorespaces Illustration of power/ground network model.\relax }}{329}}
-\newlabel{fig:pg}{{14.5}{329}}
-\newlabel{fig:flybackWhole}{{14.6(a)}{330}}
-\newlabel{sub@fig:flybackWhole}{{(a)}{330}}
-\newlabel{fig:flybackZoom}{{14.6(b)}{330}}
-\newlabel{sub@fig:flybackZoom}{{(b)}{330}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.6}{\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 }}{330}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{330}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{330}}
-\newlabel{fig:flyback_wave}{{14.6}{330}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{331}}
-\newlabel{fig:buck_wave}{{14.7}{331}}
-\@writefile{lot}{\contentsline {table}{\numberline {14.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{331}}
-\newlabel{table:circuit}{{14.1}{331}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.5}Summary}{332}}
-\newlabel{sec:summary}{{14.5}{332}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.6}Glossary}{332}}
-\@writefile{toc}{\contentsline {section}{Bibliography}{332}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.1}Introduction}{335}}
+\newlabel{fig:ef1}{{15.1(a)}{337}}
+\newlabel{sub@fig:ef1}{{(a)}{337}}
+\newlabel{fig:ef2}{{15.1(b)}{337}}
+\newlabel{sub@fig:ef2}{{(b)}{337}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{337}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{337}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{337}}
+\newlabel{fig:ef_intro}{{15.1}{337}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.2}The envelope-following method in a nutshell}{338}}
+\newlabel{sec:ef}{{15.2}{338}}
+\newlabel{eq:dae}{{15.1}{338}}
+\newlabel{eq:Newton}{{15.2}{339}}
+\newlabel{eq:A}{{15.3}{339}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.3}New parallel envelope-following method}{340}}
+\newlabel{sec:gmres}{{15.3}{340}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.1}GMRES solver for Newton update equation}{340}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.2}{\ignorespaces The flow of envelope-following method.\relax }}{341}}
+\newlabel{fig:ef_flow}{{15.2}{341}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {14}{\ignorespaces Standard GMRES algorithm.\relax }}{342}}
+\newlabel{alg:GMRES}{{14}{342}}
+\newlabel{line:mvp}{{5}{342}}
+\newlabel{line:newnorm}{{11}{342}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.2}Parallelization on GPU platforms}{342}}
+\newlabel{sec:gpu}{{15.3.2}{342}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{343}}
+\newlabel{fig:gmres}{{15.3}{343}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {15.3.3}Gear-2 based sensitivity calculation}{344}}
+\newlabel{sec:gear}{{15.3.3}{344}}
+\newlabel{eq:BE}{{15.4}{344}}
+\newlabel{eq:sens1}{{15.5}{344}}
+\newlabel{eq:Gear_t2}{{15.6}{345}}
+\newlabel{eq:sens2}{{15.7}{345}}
+\newlabel{eq:Gear_t3}{{15.8}{345}}
+\newlabel{eq:sensM}{{15.9}{345}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {15}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{346}}
+\newlabel{alg:mf_Gear}{{15}{346}}
+\newlabel{line:mf_Gear_loop}{{4}{346}}
+\newlabel{line:shift}{{8}{346}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.4}Numerical examples}{346}}
+\newlabel{sec:exp}{{15.4}{346}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{347}}
+\newlabel{fig:flyback}{{15.4}{347}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.5}{\ignorespaces Illustration of power/ground network model.\relax }}{347}}
+\newlabel{fig:pg}{{15.5}{347}}
+\newlabel{fig:flybackWhole}{{15.6(a)}{348}}
+\newlabel{sub@fig:flybackWhole}{{(a)}{348}}
+\newlabel{fig:flybackZoom}{{15.6(b)}{348}}
+\newlabel{sub@fig:flybackZoom}{{(b)}{348}}
+\@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 }}{348}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{348}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{348}}
+\newlabel{fig:flyback_wave}{{15.6}{348}}
+\@writefile{lof}{\contentsline {figure}{\numberline {15.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{349}}
+\newlabel{fig:buck_wave}{{15.7}{349}}
+\@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 }}{349}}
+\newlabel{table:circuit}{{15.1}{349}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.5}Summary}{350}}
+\newlabel{sec:summary}{{15.5}{350}}
+\@writefile{toc}{\contentsline {section}{\numberline {15.6}Glossary}{350}}
+\@writefile{toc}{\contentsline {section}{Bibliography}{350}}
\@setckpt{Chapters/chapter16/ch16}{
-\setcounter{page}{334}
+\setcounter{page}{352}
\setcounter{equation}{9}
\setcounter{enumi}{2}
\setcounter{enumii}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{1}
-\setcounter{chapter}{14}
+\setcounter{chapter}{15}
\setcounter{section}{6}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{lstnumber}{9}
\setcounter{ContinuedFloat}{0}
\setcounter{AlgoLine}{8}
-\setcounter{algocfline}{13}
-\setcounter{algocfproc}{13}
-\setcounter{algocf}{13}
+\setcounter{algocfline}{15}
+\setcounter{algocfproc}{15}
+\setcounter{algocf}{15}
\setcounter{proposition}{1}
\setcounter{theorem}{0}
\setcounter{exercise}{0}
