Changeset 6ee942 in git


Ignore:
Timestamp:
Jul 1, 2009, 2:38:06 PM (14 years ago)
Author:
Hans Schönemann <hannes@…>
Branches:
(u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', '00e2e9c41af3fde1273eb3633f4c0c7c3db2579d')
Children:
609e27bbde0bf01bf5570326dc8bfcd73aaa4dba
Parents:
c4c127743ed450cab07372ff8921b84b9a15e6db
Message:
*hannes: format


git-svn-id: file:///usr/local/Singular/svn/trunk@11927 2c84dea3-7e68-4137-9b89-c4e89433aadc
File:
1 edited

Legend:

Unmodified
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Removed

  • Singular/LIB/findiff.lib

    rc4c127 r6ee942  
    22//
    33//////////////////////////////////////////////////////////////////////////////
    4 version="$Id: findiff.lib,v 1.1 2009-07-01 12:35:07 Singular Exp $";
     4version="$Id: findiff.lib,v 1.2 2009-07-01 12:38:06 Singular Exp $";
    55category="Teaching";
    66info="
    … …  
    851851example
    852852{
    853   killall();
    854 "EXAMPLE:"echo=2;
    855 list D="Ut","Ux","Uy","U";
    856 list V="t","x","y";
    857 list P="a","b";
    858 setinitials(V,D,P);
    859 list Mat=unitmat(2),unitmat(2);
    860 list Apr=forward(Ut,U,t),forward(Ux,U,x);
    861 matrixsystem(Mat,Apr);
    862 timestep(_);
     853  "EXAMPLE:"echo=2;
     854  list D="Ut","Ux","Uy","U";
     855  list V="t","x","y";
     856  list P="a","b";
     857  setinitials(V,D,P);
     858  list Mat=unitmat(2),unitmat(2);
     859  list Apr=forward(Ut,U,t),forward(Ux,U,x);
     860  matrixsystem(Mat,Apr);
     861  timestep(_);
    863862}
    864863//////////////////////////////////
    … …  
    921920example
    922921{
    923 killall();
    924 "EXAMPLE:"; echo = 2;
    925 list D="Ut","Ux","Uy","U";
    926 list V="t","x","y";
    927 list P="a","b";
    928 setinitials(V,D,P);
    929 matrix M[2][2]=0,-a,-a,0;
    930 list Mat=unitmat(2),M;
    931 list Appr=forward(Ut,U,t),trapezoid(Ux,U,x);
    932 def s=fouriersystem(Mat,Appr);s;
     922  "EXAMPLE:"; echo = 2;
     923  list D="Ut","Ux","Uy","U";
     924  list V="t","x","y";
     925  list P="a","b";
     926  setinitials(V,D,P);
     927  matrix M[2][2]=0,-a,-a,0;
     928  list Mat=unitmat(2),M;
     929  list Appr=forward(Ut,U,t),trapezoid(Ux,U,x);
     930  def s=fouriersystem(Mat,Appr);s;
    933931}
    934932//////////////////////////////////
    … …  
    959957example
    960958{
    961   killall();
    962 "EXAMPLE:"; echo = 2;
    963 list D="Ut","Ux","Uy","U";
    964 list V="t","x","y";
    965 list P="a","b";
    966 setinitials(V,D,P);////does not show the ring, since there is no output
    967 basering;///does show the ring
    968 poly f=t**3*cx**2-cy**2*dt+i**3*sx;
    969 PartitionVar(f,1); ////i is the first variable
     959  "EXAMPLE:"; echo = 2;
     960  list D="Ut","Ux","Uy","U";
     961  list V="t","x","y";
     962  list P="a","b";
     963  setinitials(V,D,P);////does not show the ring, since there is no output
     964  basering;///does show the ring
     965  poly f=t**3*cx**2-cy**2*dt+i**3*sx;
     966  PartitionVar(f,1); ////i is the first variable
    970967}
    971968//////////////////////////////////
    … …  
    985982example
    986983{
    987 killall();
    988 "EXAMPLE:"; echo = 2;
    989 list D="Ut","Ux","Uy","U";
    990 list V="t","x","y";
    991 list P="a","b";
    992 setinitials(V,D,P);////does not show the ring, as there is  no output
    993 basering;///does show the ring
    994 poly f=t**3*cx**2-cy**2*dt+i**3*sx;
    995 f;
    996 VarToPar(f);
     984  "EXAMPLE:"; echo = 2;
     985  list D="Ut","Ux","Uy","U";
     986  list V="t","x","y";
     987  list P="a","b";
     988  setinitials(V,D,P);////does not show the ring, as there is  no output
     989  basering;///does show the ring
     990  poly f=t**3*cx**2-cy**2*dt+i**3*sx;
     991  f;
     992  VarToPar(f);
    997993}
    998994//////////////////////////////////
    … …  
    10141010example
    10151011{
    1016 killall();
    1017 "EXAMPLE:"; echo = 2;
    1018 list D="Ut","Ux","Uy","U";
    1019 list V="t","x","y";
    1020 list P="a","b";
    1021 setinitials(V,D,P);////does not show the ring, as there is  no output
    1022 basering;///does show the ring
    1023 poly f=t**3*cx**2-cy**2*dt+i**3*sx;
    1024 f;
    1025 VarToPar(f);
     1012  "EXAMPLE:"; echo = 2;
     1013  list D="Ut","Ux","Uy","U";
     1014  list V="t","x","y";
     1015  list P="a","b";
     1016  setinitials(V,D,P);////does not show the ring, as there is  no output
     1017  basering;///does show the ring
     1018  poly f=t**3*cx**2-cy**2*dt+i**3*sx;
     1019  f;
     1020  VarToPar(f);
    10261021}
    10271022/////////////////////////////////////
    … …  
    10461041example
    10471042{
    1048   killall();
    1049   "
    1050   EXAMPLE:"; echo = 2;
     1043  "EXAMPLE:"; echo = 2;
    10511044  list D="Ut","Ux","Uy","U";
    10521045  list V="t","x","y";
    … …  
    11291122example
    11301123{
    1131 killall();
    1132 "EXAMPLE:"; echo = 2;
    1133 list D="Ux","Ut","U";
    1134 list P="a";
    1135 list V="t","x";
    1136 setinitials(V,D,P);
    1137 def s1=scheme(u(Ut)+a*u(Ux),laxfrX(Ux,U,x),laxfrT(Ut,U,x));
    1138 s1;
    1139 def s2=errormap(s1);
    1140 s2;
    1141 def s3=ComplexValue(s2);s3;
    1142 qepcad(s3);
     1124  "EXAMPLE:"; echo = 2;
     1125  list D="Ux","Ut","U";
     1126  list P="a";
     1127  list V="t","x";
     1128  setinitials(V,D,P);
     1129  def s1=scheme(u(Ut)+a*u(Ux),laxfrX(Ux,U,x),laxfrT(Ut,U,x));
     1130  s1;
     1131  def s2=errormap(s1);
     1132  s2;
     1133  def s3=ComplexValue(s2);s3;
     1134  qepcad(s3);
    11431135}
    11441136///////////////////////////////////////////
    … …  
    12301222example
    12311223{
    1232 killall();
    1233 "EXAMPLE:"; echo = 2;
    1234 list D="Ut","Ux","Uy","U";
    1235 list V="t","x","y";
    1236 list P="a","b";
    1237 setinitials(V,D,P);
    1238 matrix M[2][2]=0,-a,-a,0;
    1239 list Mat=unitmat(2),M;
    1240 list Appr=forward(Ut,U,t),forward(Ux,U,x);
    1241 //matrixsystem(Mat,Appr);
    1242 //timestep(_);
    1243 fouriersystem(Mat,Appr);
    1244 qepcadsystem(_[2]);
    1245 }
    1246 ///////////////////////////////////////////
     1224  "EXAMPLE:"; echo = 2;
     1225  list D="Ut","Ux","Uy","U";
     1226  list V="t","x","y";
     1227  list P="a","b";
     1228  setinitials(V,D,P);
     1229  matrix M[2][2]=0,-a,-a,0;
     1230  list Mat=unitmat(2),M;
     1231  list Appr=forward(Ut,U,t),forward(Ux,U,x);
     1232  //matrixsystem(Mat,Appr);
     1233  //timestep(_);
     1234  fouriersystem(Mat,Appr);
     1235  qepcadsystem(_[2]);
     1236}
    12471237///////////////////////////////////////////
    12481238static proc substbracketstar(string s)
    … …  
    15961586}
    15971587//////////////////////////////////////////////////
    1598 static proc cutoffrel(string str) 
     1588static proc cutoffrel(string str)
    15991589/////////cut off the relations "/=,<= etc." from output-string
    16001590{
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