-\@writefile{toc}{\contentsline {section}{\numberline {14.1}Introduction}{299}}
-\newlabel{fig:ef1}{{14.1(a)}{301}}
-\newlabel{sub@fig:ef1}{{(a)}{301}}
-\newlabel{fig:ef2}{{14.1(b)}{301}}
-\newlabel{sub@fig:ef2}{{(b)}{301}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{301}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{301}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{301}}
-\newlabel{fig:ef_intro}{{14.1}{301}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.2}The envelope-following method in a nutshell}{302}}
-\newlabel{sec:ef}{{14.2}{302}}
-\newlabel{eq:dae}{{14.1}{302}}
-\newlabel{eq:Newton}{{14.2}{303}}
-\newlabel{eq:A}{{14.3}{303}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.3}New parallel envelope-following method}{304}}
-\newlabel{sec:gmres}{{14.3}{304}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.1}GMRES solver for Newton update equation}{304}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.2}{\ignorespaces The flow of envelope-following method.\relax }}{305}}
-\newlabel{fig:ef_flow}{{14.2}{305}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {14}{\ignorespaces Standard GMRES algorithm.\relax }}{306}}
-\newlabel{alg:GMRES}{{14}{306}}
-\newlabel{line:mvp}{{5}{306}}
-\newlabel{line:newnorm}{{11}{306}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.2}Parallelization on GPU platforms}{306}}
-\newlabel{sec:gpu}{{14.3.2}{306}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{307}}
-\newlabel{fig:gmres}{{14.3}{307}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.3}Gear-2 based sensitivity calculation}{308}}
-\newlabel{sec:gear}{{14.3.3}{308}}
-\newlabel{eq:BE}{{14.4}{308}}
-\newlabel{eq:sens1}{{14.5}{308}}
-\newlabel{eq:Gear_t2}{{14.6}{309}}
-\newlabel{eq:sens2}{{14.7}{309}}
-\newlabel{eq:Gear_t3}{{14.8}{309}}
-\newlabel{eq:sensM}{{14.9}{309}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {15}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{310}}
-\newlabel{alg:mf_Gear}{{15}{310}}
-\newlabel{line:mf_Gear_loop}{{4}{310}}
-\newlabel{line:shift}{{8}{310}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.4}Numerical examples}{310}}
-\newlabel{sec:exp}{{14.4}{310}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{311}}
-\newlabel{fig:flyback}{{14.4}{311}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.5}{\ignorespaces Illustration of power/ground network model.\relax }}{311}}
-\newlabel{fig:pg}{{14.5}{311}}
-\newlabel{fig:flybackWhole}{{14.6(a)}{312}}
-\newlabel{sub@fig:flybackWhole}{{(a)}{312}}
-\newlabel{fig:flybackZoom}{{14.6(b)}{312}}
-\newlabel{sub@fig:flybackZoom}{{(b)}{312}}
-\@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 }}{312}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{312}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{312}}
-\newlabel{fig:flyback_wave}{{14.6}{312}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{313}}
-\newlabel{fig:buck_wave}{{14.7}{313}}
-\@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 }}{313}}
-\newlabel{table:circuit}{{14.1}{313}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.5}Summary}{314}}
-\newlabel{sec:summary}{{14.5}{314}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.6}Glossary}{314}}
-\@writefile{toc}{\contentsline {section}{Bibliography}{314}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.1}Introduction}{379}}
+\newlabel{fig:ef1}{{16.1(a)}{381}}
+\newlabel{sub@fig:ef1}{{(a)}{381}}
+\newlabel{fig:ef2}{{16.1(b)}{381}}
+\newlabel{sub@fig:ef2}{{(b)}{381}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{381}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{381}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{381}}
+\newlabel{fig:ef_intro}{{16.1}{381}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.2}The envelope-following method in a nutshell}{382}}
+\newlabel{sec:ef}{{16.2}{382}}
+\newlabel{eq:dae}{{16.1}{382}}
+\newlabel{eq:Newton}{{16.2}{383}}
+\newlabel{eq:A}{{16.3}{383}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.3}New parallel envelope-following method}{384}}
+\newlabel{sec:gmres}{{16.3}{384}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.1}GMRES solver for Newton update equation}{384}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.2}{\ignorespaces The flow of envelope-following method.\relax }}{385}}
+\newlabel{fig:ef_flow}{{16.2}{385}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {19}{\ignorespaces Standard GMRES algorithm.\relax }}{386}}
+\newlabel{alg:GMRES}{{19}{386}}
+\newlabel{line:mvp}{{5}{386}}
+\newlabel{line:newnorm}{{11}{386}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.2}Parallelization on GPU platforms}{386}}
+\newlabel{sec:gpu}{{16.3.2}{386}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{387}}
+\newlabel{fig:gmres}{{16.3}{387}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.3}Gear-2 based sensitivity calculation}{388}}
+\newlabel{sec:gear}{{16.3.3}{388}}
+\newlabel{eq:BE}{{16.4}{388}}
+\newlabel{eq:sens1}{{16.5}{388}}
+\newlabel{eq:Gear_t2}{{16.6}{389}}
+\newlabel{eq:sens2}{{16.7}{389}}
+\newlabel{eq:Gear_t3}{{16.8}{389}}
+\newlabel{eq:sensM}{{16.9}{389}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {20}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{390}}
+\newlabel{alg:mf_Gear}{{20}{390}}
+\newlabel{line:mf_Gear_loop}{{4}{390}}
+\newlabel{line:shift}{{8}{390}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.4}Numerical examples}{390}}
+\newlabel{sec:exp}{{16.4}{390}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{391}}
+\newlabel{fig:flyback}{{16.4}{391}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.5}{\ignorespaces Illustration of power/ground network model.\relax }}{391}}
+\newlabel{fig:pg}{{16.5}{391}}
+\newlabel{fig:flybackWhole}{{16.6(a)}{392}}
+\newlabel{sub@fig:flybackWhole}{{(a)}{392}}
+\newlabel{fig:flybackZoom}{{16.6(b)}{392}}
+\newlabel{sub@fig:flybackZoom}{{(b)}{392}}
+\@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 }}{392}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{392}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{392}}
+\newlabel{fig:flyback_wave}{{16.6}{392}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{393}}
+\newlabel{fig:buck_wave}{{16.7}{393}}
+\@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 }}{393}}
+\newlabel{table:circuit}{{16.1}{393}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.5}Summary}{394}}
+\newlabel{sec:summary}{{16.5}{394}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.6}Glossary}{394}}
+\@writefile{toc}{\contentsline {section}{Bibliography}{394}}