Learn the Method of Lines: Textbook Resources for Industrial Problem Solving

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The discussion centers around finding resources to learn the method of lines, particularly in the context of a proposal for a contract that requires applying this method to solve numerical problems in the industry. The method of lines is gaining attention due to advancements in computing power, allowing for more sophisticated solutions than traditional simplification assumptions. Participants suggest checking the Wikipedia article for references and recommend searching online for tutorials specifically focused on the method of lines. Additionally, engaging with math forums is advised for further insights and resources.
DEvens
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Can anybody suggest good resources for me to learn about the method of lines? I have budget to buy textbooks.

The boss has received a "request for proposal" from a client with deep pockets. That means they want us to submit a bid for a contract.

The client wants us to apply the method of lines to solving a standard category of numerical problems in our industry. Ordinarily this kind of problem is solved using a variety of simplification assumptions. It would seem that somebody has noticed that computers have gotten faster in the last 20 years, so we should be able to do better.
 
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try googling "method of lines" tutorial (note that only "method of lines" is quoted)

Or, post this in one of the math forums.
 
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