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<p class="MsoNormal">Hong,<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">That is not the correct result, however, we can obtain the correct result if we comment ts.setThetaEndpoint(True). Why is it so?<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Thanks<o:p></o:p></p>
<p class="MsoNormal">Miguel<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><b><span style="font-size:12.0pt;color:black">From:
</span></b><span style="font-size:12.0pt;color:black">"Zhang, Hong" <hongzhang@anl.gov><br>
<b>Date: </b>Tuesday, June 2, 2020 at 3:31 PM<br>
<b>To: </b>"Salazar De Troya, Miguel" <salazardetro1@llnl.gov><br>
<b>Cc: </b>"petsc-users@mcs.anl.gov" <petsc-users@mcs.anl.gov><br>
<b>Subject: </b>Re: [petsc-users] TSAdjoint not working correctly when using TSThetaSetEndpoint(true)<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Miguel,<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">After I uncommented ts.setThetaEndpoint(True) and removed ts.setProblemType(False.ProblemType.LINEAR) in your code, I got the following result:
<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">hongzhang@Hongs-MacBook-Pro$ python3 petsc_question_2.py<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Cost function<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Vec Object: 1 MPI processes<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"> type: seq<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">127.781<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Exact value: 127.78112<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Numerical sensitivity w.r.t. a<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">12.778122049945212<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Real sensitivity w.r.t a<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">12.7781121978613<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Numerical sensitivity w.r.t. b<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">83.8907580310942<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Real sensitivity w.r.t b<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">211.67168296791954<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">-ts_type cn gives the same result. What was the problem you encountered?<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Thanks,<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Hong (Mr.)<o:p></o:p></p>
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<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">On Jun 2, 2020, at 2:36 PM, Salazar De Troya, Miguel via petsc-users <<a href="mailto:petsc-users@mcs.anl.gov">petsc-users@mcs.anl.gov</a>> wrote:<o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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<p class="MsoNormal" style="margin-left:.5in">Hello,<span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"> <span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in">I am attaching a simple example that uses TSAdjoint to calculate the sensitivity of a 1 degree of freedom ODE. When using theta methods, it returns the right sensitivity as given by the analytical solution. When
I set `ts.setThetaEndpoint(True)`, it does not work. Is there a theoretical reason why? I was using this option because using the options<span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"> <span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in">ts.setType(ts.Type.THETA)<span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in">ts.setTheta(0.5) <span class="apple-converted-space"> </span><span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in">ts.setThetaEndpoint(True)<span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"> <span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in">is equivalent to using ts.Type.CN<span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"> <span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in">Thanks<span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in">Miguel<span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"> <span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"><span lang="ES" style="font-size:9.0pt;font-family:Consolas">Miguel A. Salazar de Troya</span><span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"><span style="font-size:9.0pt;font-family:Consolas">Postdoctoral Researcher, Lawrence Livermore National Laboratory</span><span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"><span style="font-size:9.0pt;font-family:Consolas">B141</span><span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"><span style="font-size:9.0pt;font-family:Consolas">Rm: 1085-5</span><span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"><span style="font-size:9.0pt;font-family:Consolas">Ph: 1(925) 422-6411</span><span style="font-size:12.0pt"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:.5in"><petsc_question_2.py><o:p></o:p></p>
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<p class="MsoNormal" style="margin-left:.5in"><o:p> </o:p></p>
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