BookGPU/Chapters/chapter16/ch16.aux

   1 \relax
   2 \@writefile{toc}{\author{X.-X. Liu}{}}
   3 \@writefile{toc}{\author{S. X.-D. Tan}{}}
   4 \@writefile{toc}{\author{H. Wang}{}}
   5 \@writefile{toc}{\author{H. Yu}{}}
   6 \@writefile{loa}{\addvspace {10\p@ }}
   7 \@writefile{toc}{\contentsline {chapter}{\numberline {16}GPU-Accelerated Envelope-Following Method}{375}}
   8 \@writefile{lof}{\addvspace {10\p@ }}
   9 \@writefile{lot}{\addvspace {10\p@ }}
  10 \@writefile{toc}{\contentsline {section}{\numberline {16.1}Introduction}{375}}
  11 \newlabel{fig:ef1}{{16.1(a)}{377}}
  12 \newlabel{sub@fig:ef1}{{(a)}{377}}
  13 \newlabel{fig:ef2}{{16.1(b)}{377}}
  14 \newlabel{sub@fig:ef2}{{(b)}{377}}
  15 \@writefile{lof}{\contentsline {figure}{\numberline {16.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{377}}
  16 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{377}}
  17 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{377}}
  18 \newlabel{fig:ef_intro}{{16.1}{377}}
  19 \@writefile{toc}{\contentsline {section}{\numberline {16.2}The envelope-following method in a nutshell}{378}}
  20 \newlabel{sec:ef}{{16.2}{378}}
  21 \newlabel{eq:dae}{{16.1}{378}}
  22 \newlabel{eq:Newton}{{16.2}{379}}
  23 \newlabel{eq:A}{{16.3}{379}}
  24 \@writefile{toc}{\contentsline {section}{\numberline {16.3}New parallel envelope-following method}{380}}
  25 \newlabel{sec:gmres}{{16.3}{380}}
  26 \@writefile{toc}{\contentsline {subsection}{\numberline {16.3.1}GMRES solver for Newton update equation}{380}}
  27 \@writefile{lof}{\contentsline {figure}{\numberline {16.2}{\ignorespaces The flow of envelope-following method.\relax }}{381}}
  28 \newlabel{fig:ef_flow}{{16.2}{381}}
  29 \@writefile{loa}{\contentsline {algocf}{\numberline {17}{\ignorespaces Standard GMRES algorithm.\relax }}{382}}
  30 \newlabel{alg:GMRES}{{17}{382}}
  31 \newlabel{line:mvp}{{5}{382}}
  32 \newlabel{line:newnorm}{{11}{382}}
  33 \@writefile{toc}{\contentsline {subsection}{\numberline {16.3.2}Parallelization on GPU platforms}{382}}
  34 \newlabel{sec:gpu}{{16.3.2}{382}}
  35 \@writefile{lof}{\contentsline {figure}{\numberline {16.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{383}}
  36 \newlabel{fig:gmres}{{16.3}{383}}
  37 \@writefile{toc}{\contentsline {subsection}{\numberline {16.3.3}Gear-2 based sensitivity calculation}{384}}
  38 \newlabel{sec:gear}{{16.3.3}{384}}
  39 \newlabel{eq:BE}{{16.4}{384}}
  40 \newlabel{eq:sens1}{{16.5}{384}}
  41 \newlabel{eq:Gear_t2}{{16.6}{385}}
  42 \newlabel{eq:sens2}{{16.7}{385}}
  43 \newlabel{eq:Gear_t3}{{16.8}{385}}
  44 \newlabel{eq:sensM}{{16.9}{385}}
  45 \@writefile{loa}{\contentsline {algocf}{\numberline {18}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{386}}
  46 \newlabel{alg:mf_Gear}{{18}{386}}
  47 \newlabel{line:mf_Gear_loop}{{4}{386}}
  48 \newlabel{line:shift}{{8}{386}}
  49 \@writefile{toc}{\contentsline {section}{\numberline {16.4}Numerical examples}{386}}
  50 \newlabel{sec:exp}{{16.4}{386}}
  51 \@writefile{lof}{\contentsline {figure}{\numberline {16.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{387}}
  52 \newlabel{fig:flyback}{{16.4}{387}}
  53 \@writefile{lof}{\contentsline {figure}{\numberline {16.5}{\ignorespaces Illustration of power/ground network model.\relax }}{387}}
  54 \newlabel{fig:pg}{{16.5}{387}}
  55 \newlabel{fig:flybackWhole}{{16.6(a)}{388}}
  56 \newlabel{sub@fig:flybackWhole}{{(a)}{388}}
  57 \newlabel{fig:flybackZoom}{{16.6(b)}{388}}
  58 \newlabel{sub@fig:flybackZoom}{{(b)}{388}}
  59 \@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 }}{388}}
  60 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{388}}
  61 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{388}}
  62 \newlabel{fig:flyback_wave}{{16.6}{388}}
  63 \@writefile{lof}{\contentsline {figure}{\numberline {16.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{389}}
  64 \newlabel{fig:buck_wave}{{16.7}{389}}
  65 \@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 }}{389}}
  66 \newlabel{table:circuit}{{16.1}{389}}
  67 \@writefile{toc}{\contentsline {section}{\numberline {16.5}Summary}{390}}
  68 \newlabel{sec:summary}{{16.5}{390}}
  69 \@writefile{toc}{\contentsline {section}{\numberline {16.6}Glossary}{390}}
  70 \@writefile{toc}{\contentsline {section}{Bibliography}{390}}
  71 \@setckpt{Chapters/chapter16/ch16}{
  72 \setcounter{page}{392}
  73 \setcounter{equation}{9}
  74 \setcounter{enumi}{2}
  75 \setcounter{enumii}{0}
  76 \setcounter{enumiii}{0}
  77 \setcounter{enumiv}{22}
  78 \setcounter{footnote}{0}
  79 \setcounter{mpfootnote}{0}
  80 \setcounter{part}{5}
  81 \setcounter{chapter}{16}
  82 \setcounter{section}{6}
  83 \setcounter{subsection}{0}
  84 \setcounter{subsubsection}{0}
  85 \setcounter{paragraph}{0}
  86 \setcounter{subparagraph}{0}
  87 \setcounter{figure}{7}
  88 \setcounter{table}{1}
  89 \setcounter{numauthors}{0}
  90 \setcounter{parentequation}{4}
  91 \setcounter{subfigure}{0}
  92 \setcounter{lofdepth}{1}
  93 \setcounter{subtable}{0}
  94 \setcounter{lotdepth}{1}
  95 \setcounter{lstnumber}{9}
  96 \setcounter{ContinuedFloat}{0}
  97 \setcounter{AlgoLine}{8}
  98 \setcounter{algocfline}{18}
  99 \setcounter{algocfproc}{18}
 100 \setcounter{algocf}{18}
 101 \setcounter{nprt@mantissa@digitsbefore}{0}
 102 \setcounter{nprt@mantissa@digitsafter}{0}
 103 \setcounter{nprt@exponent@digitsbefore}{0}
 104 \setcounter{nprt@exponent@digitsafter}{0}
 105 \setcounter{nprt@digitsfirstblock}{0}
 106 \setcounter{nprt@blockcnt}{0}
 107 \setcounter{nprt@cntprint}{0}
 108 \setcounter{proposition}{1}
 109 \setcounter{theorem}{0}
 110 \setcounter{exercise}{0}
 111 \setcounter{example}{0}
 112 \setcounter{definition}{0}
 113 \setcounter{proof}{1}
 114 \setcounter{lstlisting}{0}
 115 }