BookGPU/Chapters/chapter16/ch16.aux

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   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}{379}}
   8 \@writefile{lof}{\addvspace {10\p@ }}
   9 \@writefile{lot}{\addvspace {10\p@ }}
  10 \@writefile{toc}{\contentsline {section}{\numberline {16.1}Introduction}{379}}
  11 \newlabel{fig:ef1}{{16.1(a)}{381}}
  12 \newlabel{sub@fig:ef1}{{(a)}{381}}
  13 \newlabel{fig:ef2}{{16.1(b)}{381}}
  14 \newlabel{sub@fig:ef2}{{(b)}{381}}
  15 \@writefile{lof}{\contentsline {figure}{\numberline {16.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{381}}
  16 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{381}}
  17 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{381}}
  18 \newlabel{fig:ef_intro}{{16.1}{381}}
  19 \@writefile{toc}{\contentsline {section}{\numberline {16.2}The envelope-following method in a nutshell}{382}}
  20 \newlabel{sec:ef}{{16.2}{382}}
  21 \newlabel{eq:dae}{{16.1}{382}}
  22 \newlabel{eq:Newton}{{16.2}{383}}
  23 \newlabel{eq:A}{{16.3}{383}}
  24 \@writefile{toc}{\contentsline {section}{\numberline {16.3}New parallel envelope-following method}{384}}
  25 \newlabel{sec:gmres}{{16.3}{384}}
  26 \@writefile{toc}{\contentsline {subsection}{\numberline {16.3.1}GMRES solver for Newton update equation}{384}}
  27 \@writefile{lof}{\contentsline {figure}{\numberline {16.2}{\ignorespaces The flow of envelope-following method.\relax }}{385}}
  28 \newlabel{fig:ef_flow}{{16.2}{385}}
  29 \@writefile{loa}{\contentsline {algocf}{\numberline {19}{\ignorespaces Standard GMRES algorithm.\relax }}{386}}
  30 \newlabel{alg:GMRES}{{19}{386}}
  31 \newlabel{line:mvp}{{5}{386}}
  32 \newlabel{line:newnorm}{{11}{386}}
  33 \@writefile{toc}{\contentsline {subsection}{\numberline {16.3.2}Parallelization on GPU platforms}{386}}
  34 \newlabel{sec:gpu}{{16.3.2}{386}}
  35 \@writefile{lof}{\contentsline {figure}{\numberline {16.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{387}}
  36 \newlabel{fig:gmres}{{16.3}{387}}
  37 \@writefile{toc}{\contentsline {subsection}{\numberline {16.3.3}Gear-2 based sensitivity calculation}{388}}
  38 \newlabel{sec:gear}{{16.3.3}{388}}
  39 \newlabel{eq:BE}{{16.4}{388}}
  40 \newlabel{eq:sens1}{{16.5}{388}}
  41 \newlabel{eq:Gear_t2}{{16.6}{389}}
  42 \newlabel{eq:sens2}{{16.7}{389}}
  43 \newlabel{eq:Gear_t3}{{16.8}{389}}
  44 \newlabel{eq:sensM}{{16.9}{389}}
  45 \@writefile{loa}{\contentsline {algocf}{\numberline {20}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{390}}
  46 \newlabel{alg:mf_Gear}{{20}{390}}
  47 \newlabel{line:mf_Gear_loop}{{4}{390}}
  48 \newlabel{line:shift}{{8}{390}}
  49 \@writefile{toc}{\contentsline {section}{\numberline {16.4}Numerical examples}{390}}
  50 \newlabel{sec:exp}{{16.4}{390}}
  51 \@writefile{lof}{\contentsline {figure}{\numberline {16.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{391}}
  52 \newlabel{fig:flyback}{{16.4}{391}}
  53 \@writefile{lof}{\contentsline {figure}{\numberline {16.5}{\ignorespaces Illustration of power/ground network model.\relax }}{391}}
  54 \newlabel{fig:pg}{{16.5}{391}}
  55 \newlabel{fig:flybackWhole}{{16.6(a)}{392}}
  56 \newlabel{sub@fig:flybackWhole}{{(a)}{392}}
  57 \newlabel{fig:flybackZoom}{{16.6(b)}{392}}
  58 \newlabel{sub@fig:flybackZoom}{{(b)}{392}}
  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 }}{392}}
  60 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{392}}
  61 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{392}}
  62 \newlabel{fig:flyback_wave}{{16.6}{392}}
  63 \@writefile{lof}{\contentsline {figure}{\numberline {16.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{393}}
  64 \newlabel{fig:buck_wave}{{16.7}{393}}
  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 }}{393}}
  66 \newlabel{table:circuit}{{16.1}{393}}
  67 \@writefile{toc}{\contentsline {section}{\numberline {16.5}Summary}{394}}
  68 \newlabel{sec:summary}{{16.5}{394}}
  69 \@writefile{toc}{\contentsline {section}{\numberline {16.6}Glossary}{394}}
  70 \@writefile{toc}{\contentsline {section}{Bibliography}{394}}
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