Interested in Mathematical Modelling? How Can You Specialize in Energy Systems?

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Discussion Overview

The discussion revolves around the interest in mathematical modeling, specifically in the context of energy systems. Participants seek advice on resources, foundational mathematics, and potential career paths related to this field, including engineering applications.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant seeks recommendations for books, websites, and software to learn about mathematical modeling and expresses a desire to specialize in energy systems.
  • Another participant references a previous thread that may contain helpful information on modeling.
  • Several participants suggest books on numerical analysis and algorithms, specifically mentioning "Numerical Recipes: The Art of Scientific Computing" as a valuable resource, though noting its cost.
  • There is discussion about relevant mathematics, with some participants highlighting the importance of differential equations, linear algebra, combinatorics, and graph theory, while others express uncertainty about their applications.
  • One participant shares their current educational path, mentioning their interest in engineering and a workshop experience related to modeling, and plans to start with differential equations and MATLAB.
  • Another participant suggests pursuing applied mathematics for better employment prospects and discusses the possibility of obtaining a Ph.D. in mathematical modeling, while also considering various engineering majors.
  • One participant expresses interest in fluid mechanics and proposes studying heat absorption in materials as a potential modeling problem related to excessive temperatures in the London Underground.
  • Another participant raises questions about the engineering applications of applied mathematics and mentions computational fluid dynamics, suggesting its relevance in the aerospace industry.

Areas of Agreement / Disagreement

Participants express a variety of opinions on the foundational mathematics needed for modeling and the best educational paths to pursue. There is no consensus on specific applications of applied mathematics in engineering, indicating multiple competing views and unresolved questions.

Contextual Notes

Participants mention various mathematical topics and resources but do not reach a definitive agreement on the best approaches or applications. The discussion reflects a range of experiences and knowledge levels regarding mathematical modeling and its relevance to energy systems.

aurao2003
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Hi
I will like some advice. I intend to know more about mathematical modelling. Can anyone recommend any useful books, websites of software? How does one develop an interest in it? I will like to specialise in the modelling of energy systems and not sure how to do it. Please advise
 
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You can get books on numerical analysis, algorithms, etc. There's a really good book called numerical recipes:art of scientific computing, but it's a little bit expensive and you can find other books for cheaper.
 
hadsed said:
You can get books on numerical analysis, algorithms, etc. There's a really good book called numerical recipes:art of scientific computing, but it's a little bit expensive and you can find other books for cheaper.
Thanks. What mathematics is relevant as a foundation? I was thinking differential equations or numerical methods.
 
Could be anything, it depends on what you're doing. I'd say linear algebra and differential equations (partials and ordinary) are really useful. Combinatorics would be useful as well, and graph theory though I'm not as educated in these types of maths and I'm not sure of all the uses for them.
 
hadsed said:
Could be anything, it depends on what you're doing. I'd say linear algebra and differential equations (partials and ordinary) are really useful. Combinatorics would be useful as well, and graph theory though I'm not as educated in these types of maths and I'm not sure of all the uses for them.

Cool. I will start on Differential Equations. I am still battling A levels at the moment. Afterwards I will look into Linear Algebra. I intend to do an engineering degree and attended a workshop with a company called Cosmol Physics. They use modelling to simulate different kind of scenarios and products. I really enjoyed. But the training is very expensive. So, I was thinking I could start on the maths. Then expose myself to Matlab. The modelling of products and systems seems interesting every time I open the IET or IEEE magazine. I hope to work in modelling energy systems.
 
If you're really into modeling things you should look into applied mathematics. Of course if you're interested in engineering, that will give you better employment prospects right out of undergrad level, but if you're truly interested in mathematical modeling you might want to go on to a Ph.D. After that, you can work in a lot of different fields. But you could probably major in something like electrical engineering and still get a doctorate in math if you wanted to. Or maybe computer engineering/science. Depends if you have interests in a particular area or if you just want to model things numerically in any field, because that will increase your prospects somewhat, though again that'd be harder without a Ph.D.
 
hadsed said:
If you're really into modeling things you should look into applied mathematics. Of course if you're interested in engineering, that will give you better employment prospects right out of undergrad level, but if you're truly interested in mathematical modeling you might want to go on to a Ph.D. After that, you can work in a lot of different fields. But you could probably major in something like electrical engineering and still get a doctorate in math if you wanted to. Or maybe computer engineering/science. Depends if you have interests in a particular area or if you just want to model things numerically in any field, because that will increase your prospects somewhat, though again that'd be harder without a Ph.D.
Is there any applied mathematics you can recommend? I intend to major in an Electrical Engineering degree. And just as you suggested a Ph.D in mathematical models of energy systems. At least, that's the plan for now. I am interested in fluid mechanics. The london underground has the eternal problem of excessive temperatures in the summer. I will look to study it and see what can be modeled. Side by side, I will like to study the heat absorption of materials. I feel the problem might be tackled from that direction.
 
I'm not too certain about the engineering applications of applied math. I know about computational fluid dynamics, which is quite fascinating I think. I haven't looked into applications of it in depth so hopefully someone with more experience in engineering can give us some insight. I would think, however, that you would be extremely useful in the aerospace industry, so maybe you'll want to think about mechanical engineering for your undergraduate. I know of a few physicists who worked in fluid dynamics that are employed in aerospace industry, but again I can't comment on the specifics and hopefully someone else can shed some light on this.
 

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