Courses Computational physics course or numerical analysis course

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The discussion centers on the decision between enrolling in a computational physics course or a numerical analysis course at the graduate level. The individual has a strong background in computational physics, including experience with parallelized research projects and familiarity with MATLAB and the scipy library, but lacks a deep understanding of the underlying algorithms and methods. They express a desire to learn more about implementing their own algorithms, particularly for implicit ODEs, and seek to understand the relevance of numerical analysis concepts like Newton's method and root finding to their interests in quantum Monte Carlo methods in condensed matter physics. There is a query about whether computational physics courses typically cover fundamental numerical analysis topics. Participants are encouraged to share their experiences with either course, including course content, to aid in making an informed decision.
td21
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A question for those who are computational physicist:
Dear Computational physicist,
I am struggling between computational physics course or numerical analysis. They are both in graduate level (so very intensive), one in physics department and another in math. Both are taught by leading experts in scientific computing field.

I have 3 plus years in computational physics research background and recently finished a parallelized research project. The reason I want to take these courses is in the past I use MATLAB functions, scipy library to do integration, root finding and stuff, but actually I do not really understand the inner working. So for example if i want to implement my own implicit ode algorithm , I cannot but just copy it from somewhere else and unable to develop my own to suit my specific problem.

I am also not familiar with Newton's method, interpolation and root finding as in numerical analysis, but very familiar with linear algebra and somewhat familiar with differentiation, integration and differential equations (I read these chapters from a numerical analysis book) . On the other hands, I am not interested in molecular dynamics or chemistry stuff, but I am interested in quantum monte carlo in condensed matter physics. Will computational physics also cover basic numerical analysis?

I also want to ask: Which one do you take in the past? or did you take both?

Thank you very much for your advice.
 
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It would help if you could list the contents of the courses.
 
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