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 {14}GPU-Accelerated Envelope-Following Method}{299}}
   8 \@writefile{lof}{\addvspace {10\p@ }}
   9 \@writefile{lot}{\addvspace {10\p@ }}
  10 \@writefile{toc}{\contentsline {section}{\numberline {14.1}Introduction}{299}}
  11 \newlabel{fig:ef1}{{14.1(a)}{301}}
  12 \newlabel{sub@fig:ef1}{{(a)}{301}}
  13 \newlabel{fig:ef2}{{14.1(b)}{301}}
  14 \newlabel{sub@fig:ef2}{{(b)}{301}}
  15 \@writefile{lof}{\contentsline {figure}{\numberline {14.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{301}}
  16 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{301}}
  17 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{301}}
  18 \newlabel{fig:ef_intro}{{14.1}{301}}
  19 \@writefile{toc}{\contentsline {section}{\numberline {14.2}The envelope-following method in a nutshell}{302}}
  20 \newlabel{sec:ef}{{14.2}{302}}
  21 \newlabel{eq:dae}{{14.1}{302}}
  22 \newlabel{eq:Newton}{{14.2}{303}}
  23 \newlabel{eq:A}{{14.3}{303}}
  24 \@writefile{toc}{\contentsline {section}{\numberline {14.3}New parallel envelope-following method}{304}}
  25 \newlabel{sec:gmres}{{14.3}{304}}
  26 \@writefile{toc}{\contentsline {subsection}{\numberline {14.3.1}GMRES solver for Newton update equation}{304}}
  27 \@writefile{lof}{\contentsline {figure}{\numberline {14.2}{\ignorespaces The flow of envelope-following method.\relax }}{305}}
  28 \newlabel{fig:ef_flow}{{14.2}{305}}
  29 \@writefile{loa}{\contentsline {algocf}{\numberline {14}{\ignorespaces Standard GMRES algorithm.\relax }}{306}}
  30 \newlabel{alg:GMRES}{{14}{306}}
  31 \newlabel{line:mvp}{{5}{306}}
  32 \newlabel{line:newnorm}{{11}{306}}
  33 \@writefile{toc}{\contentsline {subsection}{\numberline {14.3.2}Parallelization on GPU platforms}{306}}
  34 \newlabel{sec:gpu}{{14.3.2}{306}}
  35 \@writefile{lof}{\contentsline {figure}{\numberline {14.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{307}}
  36 \newlabel{fig:gmres}{{14.3}{307}}
  37 \@writefile{toc}{\contentsline {subsection}{\numberline {14.3.3}Gear-2 based sensitivity calculation}{308}}
  38 \newlabel{sec:gear}{{14.3.3}{308}}
  39 \newlabel{eq:BE}{{14.4}{308}}
  40 \newlabel{eq:sens1}{{14.5}{308}}
  41 \newlabel{eq:Gear_t2}{{14.6}{309}}
  42 \newlabel{eq:sens2}{{14.7}{309}}
  43 \newlabel{eq:Gear_t3}{{14.8}{309}}
  44 \newlabel{eq:sensM}{{14.9}{309}}
  45 \@writefile{loa}{\contentsline {algocf}{\numberline {15}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{310}}
  46 \newlabel{alg:mf_Gear}{{15}{310}}
  47 \newlabel{line:mf_Gear_loop}{{4}{310}}
  48 \newlabel{line:shift}{{8}{310}}
  49 \@writefile{toc}{\contentsline {section}{\numberline {14.4}Numerical examples}{310}}
  50 \newlabel{sec:exp}{{14.4}{310}}
  51 \@writefile{lof}{\contentsline {figure}{\numberline {14.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{311}}
  52 \newlabel{fig:flyback}{{14.4}{311}}
  53 \@writefile{lof}{\contentsline {figure}{\numberline {14.5}{\ignorespaces Illustration of power/ground network model.\relax }}{311}}
  54 \newlabel{fig:pg}{{14.5}{311}}
  55 \newlabel{fig:flybackWhole}{{14.6(a)}{312}}
  56 \newlabel{sub@fig:flybackWhole}{{(a)}{312}}
  57 \newlabel{fig:flybackZoom}{{14.6(b)}{312}}
  58 \newlabel{sub@fig:flybackZoom}{{(b)}{312}}
  59 \@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}}
  60 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{312}}
  61 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{312}}
  62 \newlabel{fig:flyback_wave}{{14.6}{312}}
  63 \@writefile{lof}{\contentsline {figure}{\numberline {14.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{313}}
  64 \newlabel{fig:buck_wave}{{14.7}{313}}
  65 \@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}}
  66 \newlabel{table:circuit}{{14.1}{313}}
  67 \@writefile{toc}{\contentsline {section}{\numberline {14.5}Summary}{314}}
  68 \newlabel{sec:summary}{{14.5}{314}}
  69 \@writefile{toc}{\contentsline {section}{\numberline {14.6}Glossary}{314}}
  70 \@writefile{toc}{\contentsline {section}{Bibliography}{314}}
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