📄 cfd recipes chapter 8.mht
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Subject: CFD Recipes: Chapter 8
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<HTML><HEAD><TITLE>CFD Recipes: Chapter 8</TITLE>
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<BLOCKQUOTE>
<H1>Software for <I>Computational Gasdynamics</I></H1><BR><IMG=20
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border=3D0> <BR><BR>
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<H2>Chapter 8. Polynomial Interpolation</H2>
<HR>
<BR>
<TABLE cellSpacing=3D0 cellPadding=3D5 border=3D0>
<TBODY>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch8soft/lagrange.f">Lagrange=20
Form Polynomial Interpolation</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch8soft/newton.f">Newton=20
Form Polynomial Interpolation</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch8soft/interp1.dat">Sample=20
Input File 1</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch8soft/interp2.dat">Sample=20
Input File 2</A></TD></TR></TBODY></TABLE>
<P>These codes require an ASCII input file interp.dat of the =
following=20
form:=20
<BLOCKQUOTE><I>N: Number of Polynomial Interpolation Points=20
(Small)</I>
<P><I>First Sample (x1,y1)</I>
<P><I>Second Sample (x2,y2)</I>
<P>...
<P><I>Nth Sample (xN,yN)</I>
<P><I>N1: Number of Error Evaluation Points (Large)</I>
<P><I>First Sample (x1,y1)</I>
<P><I>Second Sample (x2,y2)</I>
<P>...
<P><I>N1th Sample (xN1,yN1)</I>
<P></P></BLOCKQUOTE>These codes will produce two ASCII output =
files:=20
<UL>
<LI>lagrange.out or newton.out. The first section contains the =
coefficients of the interpolation polynomial. The second =
section=20
contains the interpolation polynomial evaluated at the =
interpolation=20
points, including the error at each interpolation point. The =
third=20
section contains the overall error of the interpolation =
polynomial as=20
computed from the error evaluation points.=20
<LI>lagrange.plt or newton.plt. The interpolation polynomial =
evaluated=20
at the error evaluation points. </LI></UL>Using the sample =
input files,=20
these codes will generate figures 8.4 and 8.5 in the book.=20
<P></P></BLOCKQUOTE></TD></TR></TBODY></TABLE><BR>
<DIV align=3Dcenter>[ <A=20
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<A href=3D"http://capella.colorado.edu/~laney/ch4code.htm">Chapter 4</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch5code.htm">Chapter 5</A> | =
<BR><A=20
href=3D"http://capella.colorado.edu/~laney/ch9code.htm">Chapter 9</A> | =
<A=20
href=3D"http://capella.colorado.edu/~laney/ch11code.htm">Chapter 11</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch17code.htm">Chapter 17</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch18code.htm">Chapter 18</A> =
| <BR><A=20
href=3D"http://capella.colorado.edu/~laney/ch20code.htm">Chapter 20</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch21code.htm">Chapter 21</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch22code.htm">Chapter 22</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch23code.htm">Chapter 23</A> =
]=20
</DIV><BR><BR>
<HR>
<FONT size=3D-1><I>© 2000, Culbert B. Laney </I> =
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