Schools Graduate school in applied math, physics, or engineering?

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The discussion centers on the search for graduate programs in applied physics, applied math, and engineering, particularly for someone graduating with a double major in physics and math. The individual is interested in practical applications of science and math in engineering or Earth science, aiming to pursue a Ph.D. and work in a government lab or industry. Key recommendations include exploring programs focused on seismic predictions for earthquake engineering, soils engineering for foundational knowledge, and petroleum engineering to understand reservoir mechanics. The emphasis is on finding programs that balance hands-on experimental work with theoretical modeling within research groups.
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Im about to graduate with a physics and math double major, so I'm currently searching for graduate programs that include applied physics, applied math, and engineering. Ultimately I am interested in applying science/math to practical applications in engineering or Earth science. My goal is to complete a Ph.D. and work in a government lab or industry. I am really in search of a program that has a decent balance of hands on experimental work along with modeling and theory done within a research group. I am wondering if anyone has experience in these kinds of programs and/or have advice for what type of graduate program I should look for in general or even for specific schools. I appreciate any wisdom on this.
 
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Ultimately, it all depends on your own interests.

You could look for a group doing work on seismic predictions, with a view toward Earth quake engineering work.

You could look at soils engineering and foundations. This does not appear very glamorous, but there is a great need for better knowledge in this area. The whole field is very wide open I think. I would look at Civil Engineering for this.

You could look at Petroleum engineering for a better understanding of reservoir mechanics and the formation of petroleum in the earth.
 
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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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