<div dir="ltr"><div class="gmail_extra"><div class="gmail_quote">On Mon, Mar 26, 2018 at 1:15 AM, TAY wee-beng <span dir="ltr"><<a href="mailto:zonexo@gmail.com" target="_blank">zonexo@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF">
<br>
<div class="m_2941034901033641399moz-cite-prefix">On 24/3/2018 6:00 AM, Matthew Knepley
wrote:<br>
</div>
<blockquote type="cite">
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<div class="gmail_extra">
<div class="gmail_quote">On Fri, Mar 23, 2018 at 5:23 AM, TAY
wee-beng <span dir="ltr"><<a href="mailto:zonexo@gmail.com" target="_blank">zonexo@gmail.com</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> <br>
<div class="m_2941034901033641399m_746100086503134357moz-cite-prefix">On
21/3/2018 7:47 PM, Matthew Knepley wrote:<br>
</div>
<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">On Wed, Mar 21, 2018 at
4:59 AM, TAY wee-beng <span dir="ltr"><<a href="mailto:zonexo@gmail.com" target="_blank">zonexo@gmail.com</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> <br>
<div class="m_2941034901033641399m_746100086503134357m_-619408701181955118moz-cite-prefix">On
19/3/2018 6:32 PM, Matthew Knepley wrote:<br>
</div>
<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">On Mon, Mar
19, 2018 at 5:19 AM, TAY wee-beng <span dir="ltr"><<a href="mailto:zonexo@gmail.com" target="_blank">zonexo@gmail.com</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> <br>
<div class="m_2941034901033641399m_746100086503134357m_-619408701181955118m_4970404346621557354moz-cite-prefix">On
17/3/2018 1:15 AM, Matthew
Knepley wrote:<br>
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<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">On
Fri, Mar 16, 2018 at
12:54 PM, TAY wee-beng <span dir="ltr"><<a href="mailto:zonexo@gmail.com" target="_blank">zonexo@gmail.com</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div bgcolor="#FFFFFF">
<br>
<div class="m_2941034901033641399m_746100086503134357m_-619408701181955118m_4970404346621557354gmail-m_-1748057115269175174moz-cite-prefix">On
15/3/2018 6:21 PM,
Matthew Knepley
wrote:<br>
</div>
<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">On
Thu, Mar 15,
2018 at 3:51
PM, TAY
wee-beng <span dir="ltr"><<a href="mailto:zonexo@gmail.com" target="_blank">zonexo@gmail.com</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">Hi,<br>
<br>
I'm running a
CFD code which
solves the
momentum and
Poisson eqns.<br>
<br>
Due to poor
scaling with
HYPRE at
higher cpu
no., I decided
to try using
PETSc with
boomeramg and
gamg.<br>
<br>
I tested for
some small
cases and it
work well.
However, for
the large
problem which
has poor
scaling, it
gives an error
when I change
my Poisson
solver from
pure HYPRE to
PETSc with
boomeramg and
gamg.<br>
<br>
The error is :<br>
<br>
Caught signal
number 11
SEGV:
Segmentation
Violation,
probably
memory access
out of range<br>
<br>
I tried using:<br>
<br>
-poisson_ksp_type richardson -poisson_pc_type hypre
-poisson_pc_type_hypre
boomeramg<br>
<br>
-poisson_ksp_type gmres -poisson_pc_type hypre -poisson_pc_type_hypre
boomeramg<br>
<br>
-poisson_pc_type gamg
-poisson_pc_gamg_agg_nsmooths 1<br>
<br>
but they all
gave similar
error.<br>
<br>
So why is this
so? How should
I
troubleshoot?
I am now
running a
debug ver of
PETSc to check
the error msg.</blockquote>
<div><br>
</div>
<div>1) For
anything like
this, we would
like to see a
stack trace
from the
debugger or
valgrind
output.</div>
<div><br>
</div>
<div>2) We do
have several
Poisson
examples. Does
it fail for
you on those?</div>
</div>
</div>
</div>
</blockquote>
Hi,<br>
<br>
Can you recommend me
some suitable egs?
Esp in Fortran?<br>
</div>
</blockquote>
<div><br>
</div>
<div>Here is 2D Poisson</div>
<div><br>
</div>
<div> <a href="https://bitbucket.org/petsc/petsc/src/4b6141395f14f0c7d1415a2ff0158eec75a27d63/src/snes/examples/tutorials/ex5f.F90?at=master&fileviewer=file-view-default" target="_blank">https://bitbucket.org/petsc/<wbr>petsc/src/4b6141395f14f0c7d141<wbr>5a2ff0158eec75a27d63/src/snes/<wbr>examples/tutorials/ex5f.F90?at<wbr>=master&fileviewer=file-view-d<wbr>efault</a></div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div bgcolor="#FFFFFF">
<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">
<div><br>
</div>
</div>
</div>
</div>
</blockquote>
</div>
</blockquote>
</div>
</div>
</div>
</blockquote>
</div>
</blockquote>
</div>
</div>
</div>
</blockquote>
Hi,<br>
<br>
I tried to use the different options like
ML, MG BoomerAMG and while they worked for
the small problem, it failed for the large
problem. I checked and compared the 2D
Poisson example with my 3D Poisson
subroutine. I found that my subroutine is
very similar to my momentum subroutine,
which is based on KSPSolve:<br>
<br>
0. DMDACreate, DMDACreate3d etc<br>
1. Assemble matrix<br>
2. KSPSetOperators, KSPSetType etc<br>
3. KSPSolve<br>
<br>
However, the 2D Poisson example uses
SNESSetDM, SNESSolve etc. So does it matter
if I use SNESSolve or KSPSolve?<br>
</div>
</blockquote>
<div><br>
</div>
<div>Not if you are using Algebraic Multigrid.
"It failed for the large problem" is not
descriptive enough. Please send the output of</div>
<div><br>
</div>
<div> -ksp_view -ksp_monitor_true_residual</div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> I also
didn't set any nullspace. Is this required
for a Poisson eqn solve?<br>
</div>
</blockquote>
<div><br>
</div>
<div>If you only have the constant null space,
no. Most AMG packages do that one by default.</div>
<div><br>
</div>
<div> Matt</div>
</div>
</div>
</div>
</blockquote>
Hi,<br>
<br>
I tried to use <br>
<br>
1. -ksp_view -ksp_monitor_true_residual<br>
2. -poisson_ksp_view -poisson_ksp_monitor_true_resi<wbr>dual<br>
<br>
However, this did not give any output. May I know why?</div>
</blockquote>
<div><br>
</div>
<div>You need to call</div>
<div><br>
</div>
<div> KSPSetFromOptions()</div>
</div>
</div>
</div>
</blockquote>
Hi Matt, <br>
<br>
But I thought I already called:<br>
<br>
call KSPSetOperators(ksp,A_mat,A_<wbr>mat,ierr)<br>
<br>
call KSPGetPC(ksp,pc,ierr) <br>
<br>
call KSPSetOptionsPrefix(ksp,"<wbr>poisson_",ierr)<br>
<br>
call KSPSetType(ksp,ksptype,ierr)<br>
<br>
ksptype=KSPRICHARDSON <br>
<br>
call KSPSetType(ksp,ksptype,ierr)<br>
<br>
call PCSetType(pc,'hypre',ierr)<br>
<br>
call KSPSetFromOptions(ksp,ierr)<br>
<br>
...<br>
<br>
Is my sequence of calling wrong?<br></div></blockquote><div><br></div><div>If its not viewing, something is wrong. Here is the easiest way to make things work.</div><div>Take an example, and make it do what you want, like view. Then change it until it</div><div>is your own thing.</div><div><br></div><div>The code snippet is right, so there must be something around it that is messing things up.</div><div><br></div><div> Thanks,</div><div><br></div><div> Matt</div><div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div text="#000000" bgcolor="#FFFFFF">
Thanks.<br>
<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">
<div><br>
</div>
<div>after you create it. When you launch valgrind you need</div>
<div><br>
</div>
<div> valgrind --trace-children=yes <exec></div>
<div><br>
</div>
<div> Matt</div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> I also tried
valgrind:<br>
<br>
==32157== Memcheck, a memory error detector<br>
==32157== Copyright (C) 2002-2012, and GNU GPL'd, by
Julian Seward et al.<br>
==32157== Using Valgrind-3.8.1 and LibVEX; rerun with -h
for copyright info<br>
==32157== Command:
/app/intel/xe2018/compilers_an<wbr>d_libraries_2018.0.128/linux/<wbr>mpi/intel64/bin/mpirun
./a.out -poisson_ksp_type richardson -poisson_pc_type
hypre -poisson_pc_type_hypre boomeramg<br>
==32157==<br>
==32159==<br>
==32159== HEAP SUMMARY:<br>
==32159== in use at exit: 49,981 bytes in 1,137
blocks<br>
==32159== total heap usage: 1,542 allocs, 405 frees,
72,030 bytes allocated<br>
==32159==<br>
==32159== LEAK SUMMARY:<br>
==32159== definitely lost: 0 bytes in 0 blocks<br>
==32159== indirectly lost: 0 bytes in 0 blocks<br>
==32159== possibly lost: 0 bytes in 0 blocks<br>
==32159== still reachable: 49,981 bytes in 1,137
blocks<br>
==32159== suppressed: 0 bytes in 0 blocks<br>
==32159== Reachable blocks (those to which a pointer was
found) are not shown.<br>
==32159== To see them, rerun with: --leak-check=full
--show-reachable=yes<br>
==32159==<br>
==32159== For counts of detected and suppressed errors,
rerun with: -v<br>
==32159== ERROR SUMMARY: 0 errors from 0 contexts
(suppressed: 8 from 6)<br>
[362]PETSC ERROR: ------------------------------<wbr>------------------------------<wbr>------------<br>
[362]PETSC ERROR: Caught signal number 11 SEGV:
Segmentation Violation, probably memory access out of
range<br>
[362]PETSC ERROR: Try option -start_in_debugger or
-on_error_attach_debugger<br>
[362]PETSC ERROR: or see <a class="m_2941034901033641399m_746100086503134357moz-txt-link-freetext" href="http://www.mcs.anl.gov/petsc/documentation/faq.html#valgrind" target="_blank">http://www.mcs.anl.gov/petsc/d<wbr>ocumentation/faq.html#valgrind</a><br>
[362]PETSC ERROR: or try <a class="m_2941034901033641399m_746100086503134357moz-txt-link-freetext" href="http://valgrind.org" target="_blank">http://valgrind.org</a> on
GNU/linux and Apple Mac OS X to find memory corruption
errors<br>
[362]PETSC ERROR: configure using --with-debugging=yes,
recompile, link, and run<br>
[362]PETSC ERROR: to get more information on the crash.<br>
[362]PETSC ERROR: --------------------- Error Message
------------------------------<wbr>------------------------------<wbr>--<br>
[362]PETSC ERROR: Signal received<br>
[362]PETSC ERROR: See <a class="m_2941034901033641399m_746100086503134357moz-txt-link-freetext" href="http://www.mcs.anl.gov/petsc/documentation/faq.html" target="_blank">http://www.mcs.anl.gov/petsc/d<wbr>ocumentation/faq.html</a>
for trouble shooting.<br>
[362]PETSC ERROR: Petsc Release Version 3.8.3, Dec, 09,
2017<br>
[362]PETSC ERROR: ./a.out on a petsc-3.8.3_intel_rel
named std1055 by tsltaywb Thu Mar 22 17:43:54 2018<br>
[362]PETSC ERROR: Configure options
--with-mpi-dir=/app/intel/xe20<wbr>18/compilers_and_libraries_<wbr>2018.0.128/linux/mpi/intel64
--with-blaslapack-dir=/app/int<wbr>el/xe2018/compilers_and_librar<wbr>ies_2018.0.128/linux/mkl/lib/<wbr>intel64
--download-hypre=/home/users/n<wbr>us/tsltaywb/source/git.hypre.t<wbr>ar.gz
--with-debugging=0 --prefix=/home/users/nus/tslta<wbr>ywb/lib/petsc-3.8.3_intel_rel
--with-shared-libraries=0 --known-mpi-shared-libraries=0
--with-fortran-interfaces=1 --CFLAGS="-xHost -g -O2"
--CXXFLAGS="-xHost -g -O2" --FFLAGS="-xHost -g -O2"<br>
[362]PETSC ERROR: #1 User provided function() line 0 in
unknown file<br>
application called MPI_Abort(MPI_COMM_WORLD, 59) -
process 362<br>
==32409==<br>
==32409== HEAP SUMMARY:<br>
==32409== in use at exit: 52,168 bytes in 1,223
blocks<br>
==32409== total heap usage: 3,055 allocs, 1,832 frees,
122,188 bytes allocated<br>
==32409==<br>
==32409== 10 bytes in 1 blocks are definitely lost in
loss record 89 of 319<br>
==32409== at 0x4C28A2E: malloc
(vg_replace_malloc.c:270)<br>
==32409== by 0x466742: xmalloc (in /bin/bash)<br>
==32409== by 0x42EC78: ??? (in /bin/bash)<br>
==32409== by 0x430462: execute_command_internal (in
/bin/bash)<br>
==32409== by 0x43320D: ??? (in /bin/bash)<br>
==32409== by 0x433629: ??? (in /bin/bash)<br>
==32409== by 0x4303BC: execute_command_internal (in
/bin/bash)<br>
==32409== by 0x43110D: execute_command (in /bin/bash)<br>
==32409== by 0x41D6D5: reader_loop (in /bin/bash)<br>
==32409== by 0x41CEBB: main (in /bin/bash)<br>
==32409==<br>
==32409== LEAK SUMMARY:<br>
==32409== definitely lost: 10 bytes in 1 blocks<br>
==32409== indirectly lost: 0 bytes in 0 blocks<br>
==32409== possibly lost: 0 bytes in 0 blocks<br>
==32409== still reachable: 52,158 bytes in 1,222
blocks<br>
==32409== suppressed: 0 bytes in 0 blocks<br>
==32409== Reachable blocks (those to which a pointer was
found) are not shown.<br>
==32409== To see them, rerun with: --leak-check=full
--show-reachable=yes<br>
==32409== Reachable blocks (those to which a pointer was
found) are not shown.<br>
==32409== To see them, rerun with: --leak-check=full
--show-reachable=yes<br>
==32409==<br>
==32409== For counts of detected and suppressed errors,
rerun with: -v<br>
==32409== ERROR SUMMARY: 1 errors from 1 contexts
(suppressed: 8 from 6)<br>
==32157==<br>
==32157== HEAP SUMMARY:<br>
==32157== in use at exit: 55,861 bytes in 1,202
blocks<br>
==32157== total heap usage: 3,249 allocs, 2,047 frees,
125,857 bytes allocated<br>
==32157==<br>
==32157== LEAK SUMMARY:<br>
==32157== definitely lost: 0 bytes in 0 blocks<br>
==32157== indirectly lost: 0 bytes in 0 blocks<br>
==32157== possibly lost: 0 bytes in 0 blocks<br>
==32157== still reachable: 55,861 bytes in 1,202
blocks<br>
==32157== suppressed: 0 bytes in 0 blocks<br>
==32157== Reachable blocks (those to which a pointer was
found) are not shown.<br>
==32157== To see them, rerun with: --leak-check=full
--show-reachable=yes<br>
==32157==<br>
==32157== For counts of detected and suppressed errors,
rerun with: -v<br>
==32157== ERROR SUMMARY: 0 errors from 0 contexts
(suppressed: 8 from 6)<br>
<br>
Is this the output I'm supposed to get?<br>
<br>
Thanks!<br>
<br>
<br>
<blockquote type="cite">
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<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> Thanks<br>
<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF">
<blockquote type="cite">
<div dir="ltr">
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<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div bgcolor="#FFFFFF">
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<div class="gmail_extra">
<div class="gmail_quote">
<div> </div>
<div>3) You
can also try
ML, which is
the same type
of MG as GAMG.
(--download-ml).</div>
<div><br>
</div>
</div>
</div>
</div>
</blockquote>
</div>
</blockquote>
</div>
</div>
</div>
</blockquote>
I have recompiled PETSc with ML.
Is there an example command line
options which I can use for ML?<br>
</div>
</blockquote>
<div><br>
</div>
<div>-pc_type ml</div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> Another
question is generally speaking,
is geometric multigrid (GMG)
faster than algebraic?<br>
</div>
</blockquote>
<div><br>
</div>
<div>No, only for the setup time.</div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> I tested on a
small problem and the time taken
varies from 1.15min (HYPRE,
geometric) to 3.25 (GAMG).
BoomerAMG is 1.45min.<br>
</div>
</blockquote>
<div><br>
</div>
<div>I am not sure what you are
running when you say Hypre
geometric.</div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF"> Besides
HYPRE, is there any other GMG I
can use? <br>
</div>
</blockquote>
<div><br>
</div>
<div>As I said above, it does not
converge any faster and the solve
is not faster, its all setup time,
so small problems will look
faster.</div>
<div>You should be doing 10-20
iterates. If you are doing more,
MG is not working.<br>
</div>
<div><br>
</div>
<div>If you truly have a structured
grid, then use DMDA in PETSc and
you can use GMG with</div>
<div><br>
</div>
<div> -pc_type mg -pc_mg_nlevels
<n></div>
<div><br>
</div>
<div> Matt</div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF">
<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div bgcolor="#FFFFFF">
<blockquote type="cite">
<div dir="ltr">
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<div class="gmail_quote">
<div> </div>
</div>
</div>
</div>
</blockquote>
My cluster can't
connect to the
internet. Where can
I 1st download it?<br>
<br>
Similarly, how can I
find out the
location of the ext
software by myself?<br>
</div>
</blockquote>
<div><br>
</div>
<div>The locations are
all in the configure
Python modules:</div>
<div><br>
</div>
<div> <a href="https://bitbucket.org/petsc/petsc/src/4b6141395f14f0c7d1415a2ff0158eec75a27d63/config/BuildSystem/config/packages/ml.py?at=master&fileviewer=file-view-default" target="_blank">https://bitbucket.org/petsc/<wbr>petsc/src/4b6141395f14f0c7d141<wbr>5a2ff0158eec75a27d63/config/Bu<wbr>ildSystem/config/packages/ml.p<wbr>y?at=master&fileviewer=file-vi<wbr>ew-default</a></div>
<div><br>
</div>
<div> Thanks,</div>
<div><br>
</div>
<div> Matt</div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div bgcolor="#FFFFFF">
<blockquote type="cite">
<div dir="ltr">
<div class="gmail_extra">
<div class="gmail_quote">
<div> Thanks,</div>
<div><br>
</div>
<div> Matt</div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><span class="m_2941034901033641399m_746100086503134357m_-619408701181955118m_4970404346621557354gmail-m_-1748057115269175174HOEnZb"><font color="#888888"><br>
-- <br>
Thank you very
much.<br>
<br>
Yours
sincerely,<br>
<br>
==============================<wbr>==================<br>
TAY Wee-Beng
(Zheng
Weiming) 郑伟明<br>
Personal
research
webpage: <a href="http://tayweebeng.wixsite.com/website" rel="noreferrer" target="_blank">http://tayweebeng.wixsite.com/<wbr>website</a><br>
Youtube
research
showcase: <a href="https://www.youtube.com/channel/UC72ZHtvQNMpNs2uRTSToiLA" rel="noreferrer" target="_blank">https://www.youtube.com/channe<wbr>l/UC72ZHtvQNMpNs2uRTSToiLA</a><br>
linkedin: <a href="http://www.linkedin.com/in/tay-weebeng" rel="noreferrer" target="_blank">www.linkedin.com/in/tay-weeben<wbr>g</a><br>
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</font></span></blockquote>
</div>
<br>
<br clear="all">
<span class="m_2941034901033641399m_746100086503134357m_-619408701181955118HOEnZb"><font color="#888888"> <span class="m_2941034901033641399m_746100086503134357m_-619408701181955118m_4970404346621557354gmail-HOEnZb"><font color="#888888">
<div><br>
</div>
-- <br>
<div class="m_2941034901033641399m_746100086503134357m_-619408701181955118m_4970404346621557354gmail-m_-1748057115269175174gmail_signature">
<div dir="ltr">
<div>
<div dir="ltr">
<div>What most
experimenters
take for
granted before
they begin
their
experiments is
infinitely
more
interesting
than any
results to
which their
experiments
lead.<br>
-- Norbert
Wiener</div>
<div><br>
</div>
<div><a href="http://www.caam.rice.edu/%7Emk51/" target="_blank">https://www.cse.buffalo.edu/~k<wbr>nepley/</a><br>
</div>
</div>
</div>
</div>
</div>
</font></span></font></span></div>
<span class="m_2941034901033641399m_746100086503134357m_-619408701181955118HOEnZb"><font color="#888888"> </font></span></div>
<span class="m_2941034901033641399m_746100086503134357m_-619408701181955118HOEnZb"><font color="#888888"> </font></span></blockquote>
<span class="m_2941034901033641399m_746100086503134357m_-619408701181955118HOEnZb"><font color="#888888">
<br>
</font></span></div>
<span class="m_2941034901033641399m_746100086503134357m_-619408701181955118HOEnZb"><font color="#888888"> </font></span></blockquote>
<span class="m_2941034901033641399m_746100086503134357m_-619408701181955118HOEnZb"><font color="#888888"> </font></span></div>
<span class="m_2941034901033641399m_746100086503134357m_-619408701181955118HOEnZb"><font color="#888888"> <br>
<br clear="all">
<span class="m_2941034901033641399m_746100086503134357HOEnZb"><font color="#888888">
<div><br>
</div>
-- <br>
<div class="m_2941034901033641399m_746100086503134357m_-619408701181955118m_4970404346621557354gmail_signature">
<div dir="ltr">
<div>
<div dir="ltr">
<div>What most
experimenters
take for
granted before
they begin
their
experiments is
infinitely
more
interesting
than any
results to
which their
experiments
lead.<br>
-- Norbert
Wiener</div>
<div><br>
</div>
<div><a href="http://www.caam.rice.edu/%7Emk51/" target="_blank">https://www.cse.buffalo.edu/~k<wbr>nepley/</a><br>
</div>
</div>
</div>
</div>
</div>
</font></span></font></span></div>
<span class="m_2941034901033641399m_746100086503134357HOEnZb"><font color="#888888"> </font></span></div>
<span class="m_2941034901033641399m_746100086503134357HOEnZb"><font color="#888888"> </font></span></blockquote>
<span class="m_2941034901033641399m_746100086503134357HOEnZb"><font color="#888888"> <br>
</font></span></div>
<span class="m_2941034901033641399m_746100086503134357HOEnZb"><font color="#888888"> </font></span></blockquote>
<span class="m_2941034901033641399m_746100086503134357HOEnZb"><font color="#888888"> </font></span></div>
<span class="m_2941034901033641399m_746100086503134357HOEnZb"><font color="#888888"> <br>
<br clear="all">
<span class="m_2941034901033641399HOEnZb"><font color="#888888">
<div><br>
</div>
-- <br>
<div class="m_2941034901033641399m_746100086503134357m_-619408701181955118gmail_signature" data-smartmail="gmail_signature">
<div dir="ltr">
<div>
<div dir="ltr">
<div>What most
experimenters take
for granted before
they begin their
experiments is
infinitely more
interesting than any
results to which
their experiments
lead.<br>
-- Norbert Wiener</div>
<div><br>
</div>
<div><a href="http://www.caam.rice.edu/%7Emk51/" target="_blank">https://www.cse.buffalo.edu/~k<wbr>nepley/</a><br>
</div>
</div>
</div>
</div>
</div>
</font></span></font></span></div>
<span class="m_2941034901033641399HOEnZb"><font color="#888888"> </font></span></div>
<span class="m_2941034901033641399HOEnZb"><font color="#888888">
</font></span></blockquote>
<span class="m_2941034901033641399HOEnZb"><font color="#888888">
<br>
</font></span></div>
<span class="m_2941034901033641399HOEnZb"><font color="#888888"> </font></span></blockquote>
<span class="m_2941034901033641399HOEnZb"><font color="#888888"> </font></span></div>
<span class="m_2941034901033641399HOEnZb"><font color="#888888"> <br>
<br clear="all"><span class="HOEnZb"><font color="#888888">
<div><br>
</div>
-- <br>
<div class="m_2941034901033641399m_746100086503134357gmail_signature" data-smartmail="gmail_signature">
<div dir="ltr">
<div>
<div dir="ltr">
<div>What most experimenters take for
granted before they begin their
experiments is infinitely more
interesting than any results to
which their experiments lead.<br>
-- Norbert Wiener</div>
<div><br>
</div>
<div><a href="http://www.caam.rice.edu/%7Emk51/" target="_blank">https://www.cse.buffalo.edu/~k<wbr>nepley/</a><br>
</div>
</div>
</div>
</div>
</div>
</font></span></font></span></div><span class="HOEnZb"><font color="#888888">
</font></span></div><span class="HOEnZb"><font color="#888888">
</font></span></blockquote><span class="HOEnZb"><font color="#888888">
<br>
</font></span></div><span class="HOEnZb"><font color="#888888">
</font></span></blockquote><span class="HOEnZb"><font color="#888888">
</font></span></div><span class="HOEnZb"><font color="#888888">
<br>
<br clear="all">
<div><br>
</div>
-- <br>
<div class="m_2941034901033641399gmail_signature" data-smartmail="gmail_signature">
<div dir="ltr">
<div>
<div dir="ltr">
<div>What most experimenters take for granted before
they begin their experiments is infinitely more
interesting than any results to which their
experiments lead.<br>
-- Norbert Wiener</div>
<div><br>
</div>
<div><a href="http://www.caam.rice.edu/%7Emk51/" target="_blank">https://www.cse.buffalo.edu/~<wbr>knepley/</a><br>
</div>
</div>
</div>
</div>
</div>
</font></span></div>
</div>
</blockquote>
<br>
</div>
</blockquote></div><br><br clear="all"><div><br></div>-- <br><div class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener</div><div><br></div><div><a href="http://www.caam.rice.edu/~mk51/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br></div></div></div></div></div>
</div></div>