Mercurial > octave-nkf
annotate liboctave/cruft/daspk/dnedk.f @ 19627:446c46af4b42 stable
strip trailing whitespace from most source files
* Makefile.am, NEWS, build-aux/common.mk, configure.ac,
doc/Makefile.am, doc/doxyhtml/Makefile.am,
doc/interpreter/Makefile.am, doc/interpreter/arith.txi,
doc/interpreter/audio.txi, doc/interpreter/basics.txi,
doc/interpreter/bugs.txi, doc/interpreter/container.txi,
doc/interpreter/cp-idx.txi, doc/interpreter/data.txi,
doc/interpreter/debug.txi, doc/interpreter/diagperm.txi,
doc/interpreter/diffeq.txi, doc/interpreter/doccheck/README,
doc/interpreter/doccheck/spellcheck, doc/interpreter/emacs.txi,
doc/interpreter/errors.txi, doc/interpreter/eval.txi,
doc/interpreter/expr.txi, doc/interpreter/external.txi,
doc/interpreter/fn-idx.txi, doc/interpreter/func.txi,
doc/interpreter/geometry.txi, doc/interpreter/geometryimages.m,
doc/interpreter/gpl.txi, doc/interpreter/grammar.txi,
doc/interpreter/gui.txi, doc/interpreter/image.txi,
doc/interpreter/install.txi, doc/interpreter/interp.txi,
doc/interpreter/interpimages.m, doc/interpreter/intro.txi,
doc/interpreter/io.txi, doc/interpreter/java.txi,
doc/interpreter/linalg.txi, doc/interpreter/macros.texi,
doc/interpreter/matrix.txi, doc/interpreter/munge-texi.pl,
doc/interpreter/nonlin.txi, doc/interpreter/numbers.txi,
doc/interpreter/obsolete.txi, doc/interpreter/octave-config.1,
doc/interpreter/octave.texi, doc/interpreter/oop.txi,
doc/interpreter/op-idx.txi, doc/interpreter/optim.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/poly.txi, doc/interpreter/preface.txi,
doc/interpreter/quad.txi, doc/interpreter/set.txi,
doc/interpreter/signal.txi, doc/interpreter/sparse.txi,
doc/interpreter/sparseimages.m, doc/interpreter/splineimages.m,
doc/interpreter/stats.txi, doc/interpreter/stmt.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/testfun.txi, doc/interpreter/tips.txi,
doc/interpreter/var.txi, doc/interpreter/vectorize.txi,
doc/liboctave/Makefile.am, doc/liboctave/array.texi,
doc/liboctave/bugs.texi, doc/liboctave/cp-idx.texi,
doc/liboctave/dae.texi, doc/liboctave/diffeq.texi,
doc/liboctave/error.texi, doc/liboctave/factor.texi,
doc/liboctave/fn-idx.texi, doc/liboctave/gpl.texi,
doc/liboctave/install.texi, doc/liboctave/intro.texi,
doc/liboctave/liboctave.texi, doc/liboctave/matvec.texi,
doc/liboctave/nleqn.texi, doc/liboctave/nlfunc.texi,
doc/liboctave/ode.texi, doc/liboctave/optim.texi,
doc/liboctave/preface.texi, doc/liboctave/quad.texi,
doc/liboctave/range.texi, doc/refcard/Makefile.am,
doc/refcard/refcard.tex, etc/HACKING, etc/NEWS.1, etc/NEWS.2,
etc/NEWS.3, etc/OLD-ChangeLogs/ChangeLog,
etc/OLD-ChangeLogs/doc-ChangeLog,
etc/OLD-ChangeLogs/scripts-ChangeLog,
etc/OLD-ChangeLogs/src-ChangeLog, etc/OLD-ChangeLogs/test-ChangeLog,
etc/PROJECTS, etc/README.Cygwin, etc/README.MacOS, etc/README.MinGW,
etc/README.gnuplot, etc/gdbinit, etc/icons/Makefile.am,
examples/@polynomial/end.m, examples/@polynomial/subsasgn.m,
examples/Makefile.am, examples/standalonebuiltin.cc,
libgui/Makefile.am, libgui/qterminal/libqterminal/README,
libgui/qterminal/libqterminal/unix/BlockArray.cpp,
libgui/qterminal/libqterminal/unix/BlockArray.h,
libgui/qterminal/libqterminal/unix/Character.h,
libgui/qterminal/libqterminal/unix/CharacterColor.h,
libgui/qterminal/libqterminal/unix/Emulation.cpp,
libgui/qterminal/libqterminal/unix/Emulation.h,
libgui/qterminal/libqterminal/unix/Filter.cpp,
libgui/qterminal/libqterminal/unix/Filter.h,
libgui/qterminal/libqterminal/unix/History.cpp,
libgui/qterminal/libqterminal/unix/History.h,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.cpp,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.h,
libgui/qterminal/libqterminal/unix/LineFont.h,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.cpp,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.h,
libgui/qterminal/libqterminal/unix/Screen.cpp,
libgui/qterminal/libqterminal/unix/Screen.h,
libgui/qterminal/libqterminal/unix/ScreenWindow.cpp,
libgui/qterminal/libqterminal/unix/ScreenWindow.h,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.cpp,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.h,
libgui/qterminal/libqterminal/unix/Vt102Emulation.h,
libgui/qterminal/libqterminal/win32/QWinTerminalImpl.cpp,
libgui/qterminal/qterminal/main.cpp,
libgui/src/m-editor/file-editor-tab.cc, libgui/src/octave-gui.cc,
libgui/src/octave-qt-link.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/defun-int.h, libinterp/corefcn/det.cc,
libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/graphics.cc,
libinterp/corefcn/graphics.in.h, libinterp/corefcn/ls-mat5.cc,
libinterp/corefcn/lu.cc, libinterp/corefcn/oct-tex-parser.yy,
libinterp/corefcn/oct-tex-symbols.in, libinterp/corefcn/quadcc.cc,
libinterp/corefcn/zfstream.cc, libinterp/dldfcn/__eigs__.cc,
libinterp/dldfcn/__voronoi__.cc, libinterp/gendoc.pl,
libinterp/genprops.awk, libinterp/mk-errno-list, libinterp/mk-pkg-add,
libinterp/mkbuiltins, libinterp/mkdefs, libinterp/mkdocs,
libinterp/mkops, libinterp/octave-value/ov-java.cc,
libinterp/parse-tree/lex.ll, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/octave.gperf, liboctave/Makefile.am,
liboctave/array/Array.cc, liboctave/array/module.mk,
liboctave/cruft/daspk/datv.f, liboctave/cruft/daspk/dcnst0.f,
liboctave/cruft/daspk/dcnstr.f, liboctave/cruft/daspk/ddasic.f,
liboctave/cruft/daspk/ddasid.f, liboctave/cruft/daspk/ddasik.f,
liboctave/cruft/daspk/ddaspk.f, liboctave/cruft/daspk/ddstp.f,
liboctave/cruft/daspk/ddwnrm.f, liboctave/cruft/daspk/dfnrmd.f,
liboctave/cruft/daspk/dfnrmk.f, liboctave/cruft/daspk/dhels.f,
liboctave/cruft/daspk/dheqr.f, liboctave/cruft/daspk/dinvwt.f,
liboctave/cruft/daspk/dlinsd.f, liboctave/cruft/daspk/dlinsk.f,
liboctave/cruft/daspk/dmatd.f, liboctave/cruft/daspk/dnedd.f,
liboctave/cruft/daspk/dnedk.f, liboctave/cruft/daspk/dnsd.f,
liboctave/cruft/daspk/dnsid.f, liboctave/cruft/daspk/dnsik.f,
liboctave/cruft/daspk/dnsk.f, liboctave/cruft/daspk/dorth.f,
liboctave/cruft/daspk/dslvd.f, liboctave/cruft/daspk/dslvk.f,
liboctave/cruft/daspk/dspigm.f, liboctave/cruft/daspk/dyypnw.f,
liboctave/cruft/dasrt/ddasrt.f, liboctave/cruft/dasrt/drchek.f,
liboctave/cruft/dassl/ddaslv.f, liboctave/cruft/dassl/ddassl.f,
liboctave/cruft/misc/blaswrap.c, liboctave/cruft/misc/module.mk,
liboctave/cruft/odepack/cfode.f, liboctave/cruft/odepack/dlsode.f,
liboctave/cruft/odepack/ewset.f, liboctave/cruft/odepack/intdy.f,
liboctave/cruft/odepack/prepj.f, liboctave/cruft/odepack/sintdy.f,
liboctave/cruft/odepack/slsode.f, liboctave/cruft/odepack/solsy.f,
liboctave/cruft/odepack/ssolsy.f, liboctave/cruft/odepack/stode.f,
liboctave/cruft/odepack/vnorm.f, liboctave/cruft/ranlib/Basegen.doc,
liboctave/cruft/ranlib/README, liboctave/cruft/ranlib/genbet.f,
liboctave/cruft/ranlib/genexp.f, liboctave/cruft/ranlib/gennch.f,
liboctave/cruft/ranlib/gennf.f, liboctave/cruft/ranlib/gennor.f,
liboctave/cruft/ranlib/getsd.f, liboctave/cruft/ranlib/initgn.f,
liboctave/cruft/ranlib/phrtsd.f, liboctave/cruft/ranlib/randlib.fdoc,
liboctave/cruft/ranlib/setsd.f, liboctave/cruft/ranlib/tstgmn.for,
liboctave/cruft/ranlib/tstmid.for, liboctave/cruft/slatec-fn/atanh.f,
liboctave/cruft/slatec-fn/datanh.f,
liboctave/cruft/slatec-fn/xgmainc.f,
liboctave/cruft/slatec-fn/xsgmainc.f, liboctave/numeric/module.mk,
liboctave/operators/mk-ops.awk, liboctave/operators/mx-ops,
liboctave/operators/sparse-mk-ops.awk,
liboctave/operators/sparse-mx-ops, liboctave/operators/vx-ops,
liboctave/util/module.mk, run-octave.in, scripts/@ftp/ftp.m,
scripts/audio/wavread.m, scripts/deprecated/java_convert_matrix.m,
scripts/deprecated/java_debug.m, scripts/deprecated/java_invoke.m,
scripts/deprecated/java_new.m,
scripts/deprecated/java_unsigned_conversion.m,
scripts/deprecated/javafields.m, scripts/deprecated/javamethods.m,
scripts/deprecated/shell_cmd.m, scripts/general/accumarray.m,
scripts/general/display.m, scripts/general/fieldnames.m,
scripts/general/interp1.m, scripts/general/interp2.m,
scripts/general/interp3.m, scripts/general/isa.m,
scripts/general/methods.m, scripts/general/sortrows.m,
scripts/geometry/convhull.m, scripts/geometry/delaunay.m,
scripts/geometry/delaunay3.m, scripts/geometry/delaunayn.m,
scripts/geometry/griddata.m, scripts/geometry/griddatan.m,
scripts/geometry/voronoi.m, scripts/geometry/voronoin.m,
scripts/gui/guihandles.m, scripts/gui/inputdlg.m,
scripts/gui/listdlg.m, scripts/gui/msgbox.m, scripts/gui/questdlg.m,
scripts/gui/uigetfile.m, scripts/gui/waitbar.m, scripts/gui/warndlg.m,
scripts/help/doc.m, scripts/help/help.m, scripts/help/type.m,
scripts/image/bone.m, scripts/image/cmpermute.m,
scripts/image/cmunique.m, scripts/image/colorcube.m,
scripts/image/colormap.m, scripts/image/contrast.m,
scripts/image/gray2ind.m, scripts/image/image.m,
scripts/image/imshow.m, scripts/image/ind2gray.m, scripts/image/jet.m,
scripts/image/rgb2ntsc.m, scripts/image/spinmap.m,
scripts/io/importdata.m, scripts/io/strread.m, scripts/io/textread.m,
scripts/io/textscan.m, scripts/java/java_get.m,
scripts/java/java_set.m, scripts/java/javaaddpath.m,
scripts/java/javaclasspath.m, scripts/java/javamem.m,
scripts/linear-algebra/linsolve.m, scripts/linear-algebra/qzhess.m,
scripts/miscellaneous/debug.m, scripts/miscellaneous/desktop.m,
scripts/miscellaneous/dir.m, scripts/miscellaneous/dos.m,
scripts/miscellaneous/edit.m, scripts/miscellaneous/fact.m,
scripts/miscellaneous/getappdata.m, scripts/miscellaneous/inputname.m,
scripts/miscellaneous/license.m, scripts/miscellaneous/ls_command.m,
scripts/miscellaneous/run.m, scripts/miscellaneous/setfield.m,
scripts/miscellaneous/unix.m, scripts/miscellaneous/ver.m,
scripts/mk-pkg-add, scripts/mkdoc.pl,
scripts/optimization/fminsearch.m, scripts/optimization/optimset.m,
scripts/optimization/sqp.m, scripts/pkg/pkg.m,
scripts/pkg/private/create_pkgadddel.m,
scripts/pkg/private/fix_depends.m, scripts/pkg/private/install.m,
scripts/plot/appearance/axis.m, scripts/plot/appearance/box.m,
scripts/plot/appearance/clabel.m, scripts/plot/appearance/daspect.m,
scripts/plot/appearance/datetick.m, scripts/plot/appearance/grid.m,
scripts/plot/appearance/legend.m, scripts/plot/appearance/orient.m,
scripts/plot/appearance/shading.m, scripts/plot/appearance/text.m,
scripts/plot/appearance/title.m, scripts/plot/appearance/xlabel.m,
scripts/plot/appearance/ylabel.m, scripts/plot/appearance/zlabel.m,
scripts/plot/draw/area.m, scripts/plot/draw/bar.m,
scripts/plot/draw/barh.m, scripts/plot/draw/colorbar.m,
scripts/plot/draw/contour.m, scripts/plot/draw/contour3.m,
scripts/plot/draw/contourf.m, scripts/plot/draw/ellipsoid.m,
scripts/plot/draw/errorbar.m, scripts/plot/draw/ezcontour.m,
scripts/plot/draw/ezcontourf.m, scripts/plot/draw/ezmesh.m,
scripts/plot/draw/ezpolar.m, scripts/plot/draw/fill.m,
scripts/plot/draw/fplot.m, scripts/plot/draw/hist.m,
scripts/plot/draw/meshc.m, scripts/plot/draw/meshz.m,
scripts/plot/draw/pareto.m, scripts/plot/draw/patch.m,
scripts/plot/draw/peaks.m, scripts/plot/draw/pie.m,
scripts/plot/draw/pie3.m, scripts/plot/draw/plot.m,
scripts/plot/draw/plotyy.m, scripts/plot/draw/private/__bar__.m,
scripts/plot/draw/private/__contour__.m,
scripts/plot/draw/private/__errplot__.m,
scripts/plot/draw/private/__ezplot__.m,
scripts/plot/draw/private/__patch__.m,
scripts/plot/draw/private/__stem__.m, scripts/plot/draw/rectangle.m,
scripts/plot/draw/ribbon.m, scripts/plot/draw/rose.m,
scripts/plot/draw/scatter.m, scripts/plot/draw/scatter3.m,
scripts/plot/draw/semilogx.m, scripts/plot/draw/shrinkfaces.m,
scripts/plot/draw/sombrero.m, scripts/plot/draw/sphere.m,
scripts/plot/draw/stairs.m, scripts/plot/draw/stem.m,
scripts/plot/draw/stemleaf.m, scripts/plot/draw/surf.m,
scripts/plot/draw/surface.m, scripts/plot/draw/surfc.m,
scripts/plot/draw/surfl.m, scripts/plot/draw/surfnorm.m,
scripts/plot/draw/tetramesh.m, scripts/plot/draw/trimesh.m,
scripts/plot/draw/triplot.m, scripts/plot/draw/trisurf.m,
scripts/plot/util/__gnuplot_drawnow__.m,
scripts/plot/util/__plt_get_axis_arg__.m, scripts/plot/util/axes.m,
scripts/plot/util/clf.m, scripts/plot/util/copyobj.m,
scripts/plot/util/figure.m, scripts/plot/util/gcbo.m,
scripts/plot/util/graphics_toolkit.m, scripts/plot/util/hggroup.m,
scripts/plot/util/meshgrid.m, scripts/plot/util/newplot.m,
scripts/plot/util/print.m,
scripts/plot/util/private/__add_default_menu__.m,
scripts/plot/util/private/__fltk_print__.m,
scripts/plot/util/private/__gnuplot_print__.m,
scripts/plot/util/private/__print_parse_opts__.m,
scripts/plot/util/refreshdata.m, scripts/plot/util/subplot.m,
scripts/polynomial/conv.m, scripts/polynomial/poly.m,
scripts/polynomial/polyeig.m, scripts/polynomial/polyfit.m,
scripts/polynomial/polyval.m,
scripts/polynomial/private/__splinefit__.m,
scripts/polynomial/spline.m, scripts/prefs/prefdir.m,
scripts/prefs/preferences.m, scripts/prefs/private/prefsfile.m,
scripts/prefs/rmpref.m, scripts/signal/freqz.m,
scripts/signal/module.mk, scripts/sparse/eigs.m, scripts/sparse/pcg.m,
scripts/sparse/private/__sprand_impl__.m, scripts/sparse/sprand.m,
scripts/sparse/sprandn.m, scripts/sparse/spy.m, scripts/sparse/svds.m,
scripts/specfun/expint.m, scripts/specfun/factor.m,
scripts/special-matrix/gallery.m, scripts/special-matrix/hankel.m,
scripts/special-matrix/toeplitz.m, scripts/startup/inputrc,
scripts/statistics/base/kurtosis.m, scripts/statistics/base/moment.m,
scripts/statistics/base/qqplot.m, scripts/statistics/base/var.m,
scripts/statistics/distributions/betarnd.m,
scripts/statistics/distributions/binoinv.m,
scripts/statistics/distributions/binopdf.m,
scripts/statistics/distributions/binornd.m,
scripts/statistics/distributions/cauchy_rnd.m,
scripts/statistics/distributions/chi2rnd.m,
scripts/statistics/distributions/discrete_pdf.m,
scripts/statistics/distributions/discrete_rnd.m,
scripts/statistics/distributions/empirical_rnd.m,
scripts/statistics/distributions/exprnd.m,
scripts/statistics/distributions/frnd.m,
scripts/statistics/distributions/gamrnd.m,
scripts/statistics/distributions/geornd.m,
scripts/statistics/distributions/hygernd.m,
scripts/statistics/distributions/kolmogorov_smirnov_cdf.m,
scripts/statistics/distributions/laplace_cdf.m,
scripts/statistics/distributions/laplace_pdf.m,
scripts/statistics/distributions/logistic_cdf.m,
scripts/statistics/distributions/logistic_pdf.m,
scripts/statistics/distributions/lognrnd.m,
scripts/statistics/distributions/nbincdf.m,
scripts/statistics/distributions/nbininv.m,
scripts/statistics/distributions/nbinpdf.m,
scripts/statistics/distributions/nbinrnd.m,
scripts/statistics/distributions/normrnd.m,
scripts/statistics/distributions/poissinv.m,
scripts/statistics/distributions/poissrnd.m,
scripts/statistics/distributions/tinv.m,
scripts/statistics/distributions/trnd.m,
scripts/statistics/distributions/unidcdf.m,
scripts/statistics/distributions/unidpdf.m,
scripts/statistics/distributions/unidrnd.m,
scripts/statistics/distributions/unifrnd.m,
scripts/statistics/distributions/wblrnd.m,
scripts/statistics/models/module.mk,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/strings/base2dec.m, scripts/strings/deblank.m,
scripts/strings/dec2base.m, scripts/strings/dec2bin.m,
scripts/strings/dec2hex.m, scripts/strings/mat2str.m,
scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m,
scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjoin.m, scripts/strings/strsplit.m,
scripts/strings/strtok.m, scripts/strings/strtrim.m,
scripts/strings/strtrunc.m, scripts/strings/substr.m,
scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m,
scripts/testfun/test.m, scripts/time/asctime.m,
scripts/time/datenum.m, scripts/time/datevec.m,
scripts/time/weekday.m, src/Makefile.am, test/Makefile.am,
test/build-bc-overload-tests.sh, test/build-sparse-tests.sh,
test/jit.tst, test/line-continue.tst: Strip trailing whitespace.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Tue, 20 Jan 2015 08:26:57 -0500 |
| parents | 648dabbb4c6b |
| children |
| rev | line source |
|---|---|
| 3911 | 1 C Work performed under the auspices of the U.S. Department of Energy |
|
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|
2 C by Lawrence Livermore National Laboratory under contract number |
| 3911 | 3 C W-7405-Eng-48. |
| 4 C | |
| 5 SUBROUTINE DNEDK(X,Y,YPRIME,NEQ,RES,JACK,PSOL, | |
| 6 * H,WT,JSTART,IDID,RPAR,IPAR,PHI,GAMMA,SAVR,DELTA,E, | |
| 7 * WM,IWM,CJ,CJOLD,CJLAST,S,UROUND,EPLI,SQRTN,RSQRTN, | |
| 8 * EPCON,JCALC,JFLG,KP1,NONNEG,NTYPE,IERNLS) | |
| 9 C | |
| 10 C***BEGIN PROLOGUE DNEDK | |
| 11 C***REFER TO DDASPK | |
| 12 C***DATE WRITTEN 891219 (YYMMDD) | |
| 13 C***REVISION DATE 900926 (YYMMDD) | |
| 14 C***REVISION DATE 940701 (YYMMDD) | |
| 15 C | |
| 16 C | |
| 17 C----------------------------------------------------------------------- | |
| 18 C***DESCRIPTION | |
| 19 C | |
| 20 C DNEDK solves a nonlinear system of | |
| 21 C algebraic equations of the form | |
| 22 C G(X,Y,YPRIME) = 0 for the unknown Y. | |
| 23 C | |
| 24 C The method used is a matrix-free Newton scheme. | |
| 25 C | |
| 26 C The parameters represent | |
| 27 C X -- Independent variable. | |
| 28 C Y -- Solution vector at x. | |
| 29 C YPRIME -- Derivative of solution vector | |
| 30 C after successful step. | |
| 31 C NEQ -- Number of equations to be integrated. | |
| 32 C RES -- External user-supplied subroutine | |
| 33 C to evaluate the residual. See RES description | |
| 34 C in DDASPK prologue. | |
| 35 C JACK -- External user-supplied routine to update | |
| 36 C the preconditioner. (This is optional). | |
| 37 C See JAC description for the case | |
| 38 C INFO(12) = 1 in the DDASPK prologue. | |
| 39 C PSOL -- External user-supplied routine to solve | |
|
19627
446c46af4b42
strip trailing whitespace from most source files
John W. Eaton <jwe@octave.org>
parents:
15271
diff
changeset
|
40 C a linear system using preconditioning. |
| 3911 | 41 C (This is optional). See explanation inside DDASPK. |
| 42 C H -- Appropriate step size for this step. | |
| 43 C WT -- Vector of weights for error criterion. | |
| 44 C JSTART -- Indicates first call to this routine. | |
| 45 C If JSTART = 0, then this is the first call, | |
| 46 C otherwise it is not. | |
| 47 C IDID -- Completion flag, output by DNEDK. | |
| 48 C See IDID description in DDASPK prologue. | |
| 49 C RPAR,IPAR -- Real and integer arrays used for communication | |
| 50 C between the calling program and external user | |
| 51 C routines. They are not altered within DASPK. | |
| 52 C PHI -- Array of divided differences used by | |
| 53 C DNEDK. The length is NEQ*(K+1), where | |
| 54 C K is the maximum order. | |
| 55 C GAMMA -- Array used to predict Y and YPRIME. The length | |
| 56 C is K+1, where K is the maximum order. | |
| 57 C SAVR -- Work vector for DNEDK of length NEQ. | |
| 58 C DELTA -- Work vector for DNEDK of length NEQ. | |
| 59 C E -- Error accumulation vector for DNEDK of length NEQ. | |
| 60 C WM,IWM -- Real and integer arrays storing | |
| 61 C matrix information for linear system | |
| 62 C solvers, and various other information. | |
| 63 C CJ -- Parameter always proportional to 1/H. | |
| 64 C CJOLD -- Saves the value of CJ as of the last call to DITMD. | |
| 65 C Accounts for changes in CJ needed to | |
| 66 C decide whether to call DITMD. | |
| 67 C CJLAST -- Previous value of CJ. | |
| 68 C S -- A scalar determined by the approximate rate | |
| 69 C of convergence of the Newton iteration and used | |
| 70 C in the convergence test for the Newton iteration. | |
| 71 C | |
| 72 C If RATE is defined to be an estimate of the | |
| 73 C rate of convergence of the Newton iteration, | |
| 74 C then S = RATE/(1.D0-RATE). | |
| 75 C | |
| 76 C The closer RATE is to 0., the faster the Newton | |
| 77 C iteration is converging; the closer RATE is to 1., | |
| 78 C the slower the Newton iteration is converging. | |
| 79 C | |
| 80 C On the first Newton iteration with an up-dated | |
| 81 C preconditioner S = 100.D0, Thus the initial | |
| 82 C RATE of convergence is approximately 1. | |
| 83 C | |
| 84 C S is preserved from call to call so that the rate | |
| 85 C estimate from a previous step can be applied to | |
| 86 C the current step. | |
| 87 C UROUND -- Unit roundoff. | |
| 88 C EPLI -- convergence test constant. | |
| 89 C See DDASPK prologue for more details. | |
| 90 C SQRTN -- Square root of NEQ. | |
| 91 C RSQRTN -- reciprical of square root of NEQ. | |
| 92 C EPCON -- Tolerance to test for convergence of the Newton | |
| 93 C iteration. | |
| 94 C JCALC -- Flag used to determine when to update | |
| 95 C the Jacobian matrix. In general: | |
| 96 C | |
| 97 C JCALC = -1 ==> Call the DITMD routine to update | |
| 98 C the Jacobian matrix. | |
| 99 C JCALC = 0 ==> Jacobian matrix is up-to-date. | |
| 100 C JCALC = 1 ==> Jacobian matrix is out-dated, | |
| 101 C but DITMD will not be called unless | |
| 102 C JCALC is set to -1. | |
| 103 C JFLG -- Flag showing whether a Jacobian routine is supplied. | |
| 104 C KP1 -- The current order + 1; updated across calls. | |
| 105 C NONNEG -- Flag to determine nonnegativity constraints. | |
| 106 C NTYPE -- Identification code for the DNEDK routine. | |
| 107 C 1 ==> modified Newton; iterative linear solver. | |
| 108 C 2 ==> modified Newton; user-supplied linear solver. | |
| 109 C IERNLS -- Error flag for nonlinear solver. | |
| 110 C 0 ==> nonlinear solver converged. | |
| 111 C 1 ==> recoverable error inside non-linear solver. | |
| 112 C -1 ==> unrecoverable error inside non-linear solver. | |
| 113 C | |
| 114 C The following group of variables are passed as arguments to | |
| 115 C the Newton iteration solver. They are explained in greater detail | |
| 116 C in DNSK: | |
| 117 C TOLNEW, MULDEL, MAXIT, IERNEW | |
| 118 C | |
| 119 C IERTYP -- Flag which tells whether this subroutine is correct. | |
| 120 C 0 ==> correct subroutine. | |
| 121 C 1 ==> incorrect subroutine. | |
| 122 C | |
| 123 C----------------------------------------------------------------------- | |
| 124 C***ROUTINES CALLED | |
| 125 C RES, JACK, DDWNRM, DNSK | |
| 126 C | |
| 127 C***END PROLOGUE DNEDK | |
| 128 C | |
| 129 C | |
| 130 IMPLICIT DOUBLE PRECISION(A-H,O-Z) | |
| 131 DIMENSION Y(*),YPRIME(*),WT(*) | |
| 132 DIMENSION PHI(NEQ,*),SAVR(*),DELTA(*),E(*) | |
| 133 DIMENSION WM(*),IWM(*) | |
| 134 DIMENSION GAMMA(*),RPAR(*),IPAR(*) | |
| 135 EXTERNAL RES, JACK, PSOL | |
| 136 C | |
| 137 PARAMETER (LNRE=12, LNJE=13, LLOCWP=29, LLCIWP=30) | |
| 138 C | |
| 139 SAVE MULDEL, MAXIT, XRATE | |
| 140 DATA MULDEL/0/, MAXIT/4/, XRATE/0.25D0/ | |
| 141 C | |
| 142 C Verify that this is the correct subroutine. | |
| 143 C | |
| 144 IERTYP = 0 | |
| 145 IF (NTYPE .NE. 1) THEN | |
| 146 IERTYP = 1 | |
| 147 GO TO 380 | |
| 148 ENDIF | |
| 149 C | |
| 150 C If this is the first step, perform initializations. | |
| 151 C | |
| 152 IF (JSTART .EQ. 0) THEN | |
| 153 CJOLD = CJ | |
| 154 JCALC = -1 | |
| 155 S = 100.D0 | |
| 156 ENDIF | |
| 157 C | |
| 158 C Perform all other initializations. | |
| 159 C | |
| 160 IERNLS = 0 | |
| 161 LWP = IWM(LLOCWP) | |
| 162 LIWP = IWM(LLCIWP) | |
| 163 C | |
| 164 C Decide whether to update the preconditioner. | |
| 165 C | |
| 166 IF (JFLG .NE. 0) THEN | |
| 167 TEMP1 = (1.0D0 - XRATE)/(1.0D0 + XRATE) | |
| 168 TEMP2 = 1.0D0/TEMP1 | |
| 169 IF (CJ/CJOLD .LT. TEMP1 .OR. CJ/CJOLD .GT. TEMP2) JCALC = -1 | |
| 170 IF (CJ .NE. CJLAST) S = 100.D0 | |
| 171 ELSE | |
| 172 JCALC = 0 | |
| 173 ENDIF | |
| 174 C | |
| 175 C Looping point for updating preconditioner with current stepsize. | |
| 176 C | |
| 177 300 CONTINUE | |
| 178 C | |
| 179 C Initialize all error flags to zero. | |
| 180 C | |
| 181 IERPJ = 0 | |
| 182 IRES = 0 | |
| 183 IERSL = 0 | |
| 184 IERNEW = 0 | |
| 185 C | |
| 186 C Predict the solution and derivative and compute the tolerance | |
| 187 C for the Newton iteration. | |
| 188 C | |
| 189 DO 310 I=1,NEQ | |
| 190 Y(I)=PHI(I,1) | |
| 191 310 YPRIME(I)=0.0D0 | |
| 192 DO 330 J=2,KP1 | |
| 193 DO 320 I=1,NEQ | |
| 194 Y(I)=Y(I)+PHI(I,J) | |
| 195 320 YPRIME(I)=YPRIME(I)+GAMMA(J)*PHI(I,J) | |
| 196 330 CONTINUE | |
| 197 EPLIN = EPLI*EPCON | |
| 198 TOLNEW = EPLIN | |
| 199 C | |
| 200 C Call RES to initialize DELTA. | |
| 201 C | |
| 202 IWM(LNRE)=IWM(LNRE)+1 | |
| 203 CALL RES(X,Y,YPRIME,CJ,DELTA,IRES,RPAR,IPAR) | |
| 204 IF (IRES .LT. 0) GO TO 380 | |
| 205 C | |
| 206 C | |
| 207 C If indicated, update the preconditioner. | |
| 208 C Set JCALC to 0 as an indicator that this has been done. | |
| 209 C | |
| 210 IF(JCALC .EQ. -1)THEN | |
| 211 IWM(LNJE) = IWM(LNJE) + 1 | |
| 212 JCALC=0 | |
| 213 CALL JACK (RES, IRES, NEQ, X, Y, YPRIME, WT, DELTA, E, H, CJ, | |
| 214 * WM(LWP), IWM(LIWP), IERPJ, RPAR, IPAR) | |
| 215 CJOLD=CJ | |
| 216 S = 100.D0 | |
| 217 IF (IRES .LT. 0) GO TO 380 | |
| 218 IF (IERPJ .NE. 0) GO TO 380 | |
| 219 ENDIF | |
| 220 C | |
| 221 C Call the nonlinear Newton solver. | |
| 222 C | |
| 223 CALL DNSK(X,Y,YPRIME,NEQ,RES,PSOL,WT,RPAR,IPAR,SAVR, | |
| 224 * DELTA,E,WM,IWM,CJ,SQRTN,RSQRTN,EPLIN,EPCON, | |
| 225 * S,TEMP1,TOLNEW,MULDEL,MAXIT,IRES,IERSL,IERNEW) | |
| 226 C | |
| 227 IF (IERNEW .GT. 0 .AND. JCALC .NE. 0) THEN | |
| 228 C | |
| 229 C The Newton iteration had a recoverable failure with an old | |
| 230 C preconditioner. Retry the step with a new preconditioner. | |
| 231 C | |
| 232 JCALC = -1 | |
| 233 GO TO 300 | |
| 234 ENDIF | |
| 235 C | |
| 236 IF (IERNEW .NE. 0) GO TO 380 | |
| 237 C | |
| 238 C The Newton iteration has converged. If nonnegativity of | |
| 239 C solution is required, set the solution nonnegative, if the | |
| 240 C perturbation to do it is small enough. If the change is too | |
| 241 C large, then consider the corrector iteration to have failed. | |
| 242 C | |
| 243 IF(NONNEG .EQ. 0) GO TO 390 | |
| 244 DO 360 I = 1,NEQ | |
| 245 360 DELTA(I) = MIN(Y(I),0.0D0) | |
| 246 DELNRM = DDWNRM(NEQ,DELTA,WT,RPAR,IPAR) | |
| 247 IF(DELNRM .GT. EPCON) GO TO 380 | |
| 248 DO 370 I = 1,NEQ | |
| 249 370 E(I) = E(I) - DELTA(I) | |
| 250 GO TO 390 | |
| 251 C | |
| 252 C | |
| 253 C Exits from nonlinear solver. | |
| 254 C No convergence with current preconditioner. | |
| 255 C Compute IERNLS and IDID accordingly. | |
| 256 C | |
| 257 380 CONTINUE | |
| 258 IF (IRES .LE. -2 .OR. IERSL .LT. 0 .OR. IERTYP .NE. 0) THEN | |
| 259 IERNLS = -1 | |
| 260 IF (IRES .LE. -2) IDID = -11 | |
| 261 IF (IERSL .LT. 0) IDID = -13 | |
| 262 IF (IERTYP .NE. 0) IDID = -15 | |
| 263 ELSE | |
| 264 IERNLS = 1 | |
| 265 IF (IRES .EQ. -1) IDID = -10 | |
| 266 IF (IERPJ .NE. 0) IDID = -5 | |
| 267 IF (IERSL .GT. 0) IDID = -14 | |
| 268 ENDIF | |
| 269 C | |
| 270 C | |
| 271 390 JCALC = 1 | |
| 272 RETURN | |
| 273 C | |
| 274 C------END OF SUBROUTINE DNEDK------------------------------------------ | |
| 275 END |