Computational Physics Concentration

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The discussion centers on a fifth-year Electrical Engineering undergraduate considering a PhD in computational fields but uncertain about the specific area to pursue. The individual expresses a strong preference for numerical work over experimental lab work, enjoying courses like Numerical Analysis and Data Analytics. They are interested in applying numerical techniques to create simulations and analyze data, with potential interests in plasma physics and biology-related research. Suggestions include exploring computational electromagnetics/optics, which aligns with their interests and offers diverse research opportunities. The conversation emphasizes the importance of self-reflection on past experiences and future career prospects in making a decision.
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Hello, I'm new to the Physics Forums website. I am in my 5th (and last) year of undergraduate Electrical Engineering, and am planning on applying for a PhD in some computational field. I'm not sure, however, what specific field I want to go into, and I was hoping someone could give me some suggestions. Here is a layout of what I am thinking and why...

How do I know I want to do computational research?
I have been working with a business doing experimental material science research for a little over a year. I really enjoy the research process, but I have found that I can tolerate a full days worth of coding more than a full days worth of lab work. I often keep a few hands-on projects at home to work on in my free time, which is why I thought I originally wanted to do lab work, but I think I would rather keep the tinkering as a hobby.

Of course, it goes without saying, I really have a passion for numerical work. I have had classes in Numerical Analysis, Data Analytics, Math Modelling etc... and I enjoy those courses the most. I can't get enough of this stuff.

What am I looking for in my research?
I want to apply current numerical techniques to create simulations to answer science questions (the subject is where I need help deciding). I want to analyze experimental data to help build better models and more accurate simulations. I hope to find a science that will call for collaboration with experimentalists, uses skills that easily translate to similar work in industry, and allows me to be versatile in my research (no pigeonhole). I hope this makes sense

What are my favorite courses/topics so far?
In no particular order...
Numerical Analysis, Linear Algebra, GPS Design, E&M, Probability and Statistics, Radio Wave Propagation, Control Systems.

My first thought was to look at plasma physics, since I enjoyed a lot of courses that serve as a foundation for it. Unfortunately, my school does not offer a plasma physics course for undergraduates, but I have studied it a little, and recently started working through a textbook. Part of me is also interested in biology/medical related research, but I have very little background knowledge of this field. My interest comes from very frequent conversations with a close friend that has a Biology degree.

Let me know if I can add anything, or if something isn't clear. Thank you!
 
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All I can do is suggest questions you can ask yourself. I can't make this kind of decision for you.

When you have studied different topics, and done different tasks related to these topics, when have you been happiest? When have you been the most focussed and deeply involved in your work? When have you felt the most satisfaction with being involved in the task and in completing the task? Which subjects, and tasks within those subjects, do you find yourself returning to eagerly? Which ones would you be sad to stop working on?

Of all the subjects and tasks you have worked on, which ones are you really good at? Which ones do you finish with completeness, accuracy, and efficiency? Which ones do you have the most depth in? Which ones do you make the fewest mistakes in?

If you sit and contemplate doing a task for the next month, year, several years, which ones do you feel good about?

If there are still lots of possible choices (happy for you :smile:) then you should think about more mundane things. Which one will make you more money? Which one will have a better chance of getting you a job? Which one will be more available at a university you want to attend? Which one has the higher reputation university or professor?
 
You can look into computational electromagnetics/optics which is the field I currently work in. It fits really well with some of the interests you have listed and there are a large variety of projects! The research is commonly done in departments of electrical engineering, mathematics, optics, and physics. You can try just googling and looking for research groups and read their summaries as well as some papers - this is true of all fields. So if you want to know more about computational plasma physics - google it and see what you find.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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