X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/book_gpu.git/blobdiff_plain/4932967a1c684dc3f7ed04c19144101278b79972..1b4c95e988aa2d0c5d7f6cf87750ea4214dc8171:/BookGPU/Chapters/chapter16/ch16.aux?ds=inline

diff --git a/BookGPU/Chapters/chapter16/ch16.aux b/BookGPU/Chapters/chapter16/ch16.aux
index 7d1293a..879a4c2 100644
--- a/BookGPU/Chapters/chapter16/ch16.aux
+++ b/BookGPU/Chapters/chapter16/ch16.aux
@@ -4,74 +4,81 @@
 \@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 {17}GPU-Accelerated Envelope-Following Method}{397}}
 \@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 {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}{20}
+\setcounter{page}{414}
 \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{part}{5}
+\setcounter{chapter}{17}
 \setcounter{section}{6}
 \setcounter{subsection}{0}
 \setcounter{subsubsection}{0}
@@ -80,22 +87,29 @@
 \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}{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}
 \setcounter{example}{0}
 \setcounter{definition}{0}
-\setcounter{proof}{0}
+\setcounter{proof}{1}
 \setcounter{lstlisting}{0}
 }