\@writefile{toc}{\author{H. Wang}{}}
\@writefile{toc}{\author{H. Yu}{}}
\@writefile{loa}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {chapter}{\numberline {13}GPU-Accelerated Envelope-Following Method}{289}}
+\@writefile{toc}{\contentsline {chapter}{\numberline {17}GPU-Accelerated Envelope-Following Method}{397}}
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {section}{\numberline {13.1}Introduction}{289}}
-\newlabel{fig:ef1}{{13.1(a)}{291}}
-\newlabel{sub@fig:ef1}{{(a)}{291}}
-\newlabel{fig:ef2}{{13.1(b)}{291}}
-\newlabel{sub@fig:ef2}{{(b)}{291}}
-\@writefile{lof}{\contentsline {figure}{\numberline {13.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{291}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{291}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{291}}
-\newlabel{fig:ef_intro}{{13.1}{291}}
-\@writefile{toc}{\contentsline {section}{\numberline {13.2}The envelope-following method in a nutshell}{292}}
-\newlabel{sec:ef}{{13.2}{292}}
-\newlabel{eq:dae}{{13.1}{292}}
-\newlabel{eq:Newton}{{13.2}{293}}
-\newlabel{eq:A}{{13.3}{293}}
-\@writefile{toc}{\contentsline {section}{\numberline {13.3}New parallel envelope-following method}{294}}
-\newlabel{sec:gmres}{{13.3}{294}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {13.3.1}GMRES solver for Newton update equation}{294}}
-\@writefile{lof}{\contentsline {figure}{\numberline {13.2}{\ignorespaces The flow of envelope-following method.\relax }}{295}}
-\newlabel{fig:ef_flow}{{13.2}{295}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {10}{\ignorespaces Standard GMRES algorithm.\relax }}{296}}
-\newlabel{alg:GMRES}{{10}{296}}
-\newlabel{line:mvp}{{5}{296}}
-\newlabel{line:newnorm}{{11}{296}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {13.3.2}Parallelization on GPU platforms}{296}}
-\newlabel{sec:gpu}{{13.3.2}{296}}
-\@writefile{lof}{\contentsline {figure}{\numberline {13.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{297}}
-\newlabel{fig:gmres}{{13.3}{297}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {13.3.3}Gear-2 based sensitivity calculation}{298}}
-\newlabel{sec:gear}{{13.3.3}{298}}
-\newlabel{eq:BE}{{13.4}{298}}
-\newlabel{eq:sens1}{{13.5}{298}}
-\newlabel{eq:Gear_t2}{{13.6}{299}}
-\newlabel{eq:sens2}{{13.7}{299}}
-\newlabel{eq:Gear_t3}{{13.8}{299}}
-\newlabel{eq:sensM}{{13.9}{299}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {11}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{300}}
-\newlabel{alg:mf_Gear}{{11}{300}}
-\newlabel{line:mf_Gear_loop}{{4}{300}}
-\newlabel{line:shift}{{8}{300}}
-\@writefile{toc}{\contentsline {section}{\numberline {13.4}Numerical examples}{300}}
-\newlabel{sec:exp}{{13.4}{300}}
-\@writefile{lof}{\contentsline {figure}{\numberline {13.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{301}}
-\newlabel{fig:flyback}{{13.4}{301}}
-\@writefile{lof}{\contentsline {figure}{\numberline {13.5}{\ignorespaces Illustration of power/ground network model.\relax }}{301}}
-\newlabel{fig:pg}{{13.5}{301}}
-\newlabel{fig:flybackWhole}{{13.6(a)}{302}}
-\newlabel{sub@fig:flybackWhole}{{(a)}{302}}
-\newlabel{fig:flybackZoom}{{13.6(b)}{302}}
-\newlabel{sub@fig:flybackZoom}{{(b)}{302}}
-\@writefile{lof}{\contentsline {figure}{\numberline {13.6}{\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 }}{302}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{302}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{302}}
-\newlabel{fig:flyback_wave}{{13.6}{302}}
-\@writefile{lof}{\contentsline {figure}{\numberline {13.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{303}}
-\newlabel{fig:buck_wave}{{13.7}{303}}
-\@writefile{lot}{\contentsline {table}{\numberline {13.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{303}}
-\newlabel{table:circuit}{{13.1}{303}}
-\@writefile{toc}{\contentsline {section}{\numberline {13.5}Summary}{304}}
-\newlabel{sec:summary}{{13.5}{304}}
-\@writefile{toc}{\contentsline {section}{\numberline {13.6}Glossary}{304}}
-\@writefile{toc}{\contentsline {section}{Bibliography}{304}}
+\@writefile{toc}{\contentsline {section}{\numberline {17.1}Introduction}{397}}
+\newlabel{fig:ef1}{{17.1(a)}{399}}
+\newlabel{sub@fig:ef1}{{(a)}{399}}
+\newlabel{fig:ef2}{{17.1(b)}{399}}
+\newlabel{sub@fig:ef2}{{(b)}{399}}
+\@writefile{lof}{\contentsline {figure}{\numberline {17.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{399}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{399}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{399}}
+\newlabel{fig:ef_intro}{{17.1}{399}}
+\@writefile{toc}{\contentsline {section}{\numberline {17.2}The envelope-following method in a nutshell}{400}}
+\newlabel{sec:ef}{{17.2}{400}}
+\newlabel{eq:dae}{{17.1}{400}}
+\newlabel{eq:Newton}{{17.2}{401}}
+\newlabel{eq:A}{{17.3}{401}}
+\@writefile{toc}{\contentsline {section}{\numberline {17.3}New parallel envelope-following method}{402}}
+\newlabel{sec:gmres}{{17.3}{402}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {17.3.1}GMRES solver for Newton update equation}{402}}
+\@writefile{lof}{\contentsline {figure}{\numberline {17.2}{\ignorespaces The flow of envelope-following method.\relax }}{403}}
+\newlabel{fig:ef_flow}{{17.2}{403}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {20}{\ignorespaces Standard GMRES algorithm.\relax }}{404}}
+\newlabel{alg:GMRES}{{20}{404}}
+\newlabel{line:mvp}{{5}{404}}
+\newlabel{line:newnorm}{{11}{404}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {17.3.2}Parallelization on GPU platforms}{404}}
+\newlabel{sec:gpu}{{17.3.2}{404}}
+\@writefile{lof}{\contentsline {figure}{\numberline {17.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{405}}
+\newlabel{fig:gmres}{{17.3}{405}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {17.3.3}Gear-2 based sensitivity calculation}{406}}
+\newlabel{sec:gear}{{17.3.3}{406}}
+\newlabel{eq:BE}{{17.4}{406}}
+\newlabel{eq:sens1}{{17.5}{406}}
+\newlabel{eq:Gear_t2}{{17.6}{407}}
+\newlabel{eq:sens2}{{17.7}{407}}
+\newlabel{eq:Gear_t3}{{17.8}{407}}
+\newlabel{eq:sensM}{{17.9}{407}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {21}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{408}}
+\newlabel{alg:mf_Gear}{{21}{408}}
+\newlabel{line:mf_Gear_loop}{{4}{408}}
+\newlabel{line:shift}{{8}{408}}
+\@writefile{toc}{\contentsline {section}{\numberline {17.4}Numerical examples}{408}}
+\newlabel{sec:exp}{{17.4}{408}}
+\@writefile{lof}{\contentsline {figure}{\numberline {17.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{409}}
+\newlabel{fig:flyback}{{17.4}{409}}
+\@writefile{lof}{\contentsline {figure}{\numberline {17.5}{\ignorespaces Illustration of power/ground network model.\relax }}{409}}
+\newlabel{fig:pg}{{17.5}{409}}
+\newlabel{fig:flybackWhole}{{17.6(a)}{410}}
+\newlabel{sub@fig:flybackWhole}{{(a)}{410}}
+\newlabel{fig:flybackZoom}{{17.6(b)}{410}}
+\newlabel{sub@fig:flybackZoom}{{(b)}{410}}
+\@writefile{lof}{\contentsline {figure}{\numberline {17.6}{\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 }}{410}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{410}}
+\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{410}}
+\newlabel{fig:flyback_wave}{{17.6}{410}}
+\@writefile{lof}{\contentsline {figure}{\numberline {17.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{411}}
+\newlabel{fig:buck_wave}{{17.7}{411}}
+\@writefile{lot}{\contentsline {table}{\numberline {17.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{411}}
+\newlabel{table:circuit}{{17.1}{411}}
+\@writefile{toc}{\contentsline {section}{\numberline {17.5}Summary}{412}}
+\newlabel{sec:summary}{{17.5}{412}}
+\@writefile{toc}{\contentsline {section}{\numberline {17.6}Glossary}{412}}
+\@writefile{toc}{\contentsline {section}{Bibliography}{412}}
\@setckpt{Chapters/chapter16/ch16}{
-\setcounter{page}{306}
+\setcounter{page}{414}
\setcounter{equation}{9}
\setcounter{enumi}{2}
\setcounter{enumii}{0}
\setcounter{enumiv}{22}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
-\setcounter{part}{1}
-\setcounter{chapter}{13}
+\setcounter{part}{5}
+\setcounter{chapter}{17}
\setcounter{section}{6}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{lstnumber}{9}
\setcounter{ContinuedFloat}{0}
\setcounter{AlgoLine}{8}
-\setcounter{algocfline}{11}
-\setcounter{algocfproc}{11}
-\setcounter{algocf}{11}
+\setcounter{algocfline}{21}
+\setcounter{algocfproc}{21}
+\setcounter{algocf}{21}
+\setcounter{nprt@mantissa@digitsbefore}{0}
+\setcounter{nprt@mantissa@digitsafter}{0}
+\setcounter{nprt@exponent@digitsbefore}{0}
+\setcounter{nprt@exponent@digitsafter}{0}
+\setcounter{nprt@digitsfirstblock}{0}
+\setcounter{nprt@blockcnt}{0}
+\setcounter{nprt@cntprint}{0}
\setcounter{proposition}{1}
\setcounter{theorem}{0}
\setcounter{exercise}{0}