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

In summary, The conversation discusses the topic of mathematical modelling and the different resources and techniques one can use to develop an interest in it. The participants recommend books, websites, and software related to numerical analysis, algorithms, and applied mathematics. They also suggest relevant subjects such as differential equations, linear algebra, and graph theory. The conversation also touches on potential career paths in mathematical modelling, particularly in the fields of energy systems and fluid mechanics. The participants share their own experiences and interests in the subject, as well as provide advice and recommendations for further study.
  • #1
aurao2003
126
0
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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  • #3
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.
 
  • #4
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.
 
  • #5
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.
 
  • #6
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.
 
  • #7
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.
 
  • #8
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.
 
  • #9
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.
 

1. What is Mathematical Modelling?

Mathematical Modelling is the process of creating mathematical representations of real-world systems or phenomena in order to understand, predict, or control their behavior. It involves using mathematical equations, algorithms, and computational techniques to simulate the behavior of complex systems.

2. Why is Mathematical Modelling important?

Mathematical Modelling is important because it allows us to study and analyze complex systems that would be difficult or impossible to observe or experiment with in the real world. It also helps us make predictions and decisions based on mathematical evidence, leading to more efficient and effective problem-solving.

3. What are the steps involved in Mathematical Modelling?

The steps involved in Mathematical Modelling typically include identifying the problem, formulating a mathematical model, collecting data, calibrating the model, validating the model, and using the model to make predictions or analyze the system. The process may vary depending on the specific problem or system being modeled.

4. What are some examples of Mathematical Modelling in real life?

Mathematical Modelling has many applications in different fields, such as physics, economics, biology, and engineering. Some common examples include weather forecasting, predicting the spread of diseases, optimizing traffic flow, designing efficient transportation systems, and simulating the behavior of financial markets.

5. What skills are needed to be successful in Mathematical Modelling?

To be successful in Mathematical Modelling, one needs a strong foundation in mathematics, including calculus, statistics, and computer programming. It also requires critical thinking, problem-solving, and analytical skills, as well as the ability to think abstractly and translate real-world problems into mathematical equations.

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