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

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SUMMARY

The discussion focuses on the Method of Lines (MOL), a numerical technique for solving partial differential equations, particularly in industrial applications. Participants emphasize the importance of acquiring textbooks and resources to master this method, especially in light of a client proposal requiring its application. The Wikipedia article on the Method of Lines is highlighted as a valuable starting point for finding additional references and tutorials.

PREREQUISITES
  • Understanding of partial differential equations (PDEs)
  • Familiarity with numerical methods for solving PDEs
  • Basic knowledge of computational mathematics
  • Experience with mathematical modeling in industrial contexts
NEXT STEPS
  • Research textbooks specifically on the Method of Lines for numerical analysis
  • Explore online tutorials and courses focused on the Method of Lines
  • Investigate advanced applications of the Method of Lines in engineering problems
  • Review case studies where the Method of Lines has been successfully implemented
USEFUL FOR

Engineers, mathematicians, and researchers involved in numerical analysis and mathematical modeling, particularly those working on industrial problems requiring advanced computational techniques.

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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