Where can I find a comprehensive book on advanced numerical methods for PDEs?

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A user is seeking recommendations for a book on advanced numerical methods, specifically focusing on finite difference, finite elements, and spectral methods for ordinary differential equations (ODEs) and partial differential equations (PDEs), with a stronger emphasis on PDEs. They have already completed an introductory course in numerical methods and are looking for resources that cover boundary value problems and differential eigenvalue problems. While "Numerical Recipes" was suggested, the user noted it lacks sufficient content on PDEs. Another participant offered a link to a resource and mentioned the possibility of sending a specific book via email if the link does not work.
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Hi all.

I need a book on advanced numerical methods (note: methods, not analysis) suitable for an undergrad. I have already had a first course in numerical methods, the usual one an undergrad takes.
The topics the book needs to cover is:
Finite difference, finite elements and spectral methods for:
ODEs, with boundary value problems;
PDEs
Differential eigenvalue problems

with a stronger emphasise on PDEs. If such a book exists, I would be most grateful if you could recommend it to me.
Thanks
 
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Thanks for the link and suggestion George Jones. I am looking for something whose main focus is PDEs however, and Numerical Recipes does not contain enough info on that.
Any other suggestions?
 
"I am looking for something whose main focus is PDEs however, and Numerical Recipes does not contain enough info on that.
Any other suggestions?"

Try the link below and if it doesn't work then let me know by sending an email with above title as a subject on my id mfarooj@essex.ac.uk and will send you a very good book and you can keep it forever.

http://gigapedia.com/items:links?id=216434

Regards

Muhammad Farooq
 
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