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

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Discussion Overview

The discussion revolves around finding a comprehensive book on advanced numerical methods specifically focused on partial differential equations (PDEs). Participants are seeking recommendations for texts suitable for undergraduates who have completed an introductory course in numerical methods.

Discussion Character

  • Homework-related
  • Exploratory

Main Points Raised

  • One participant requests a book covering finite difference, finite elements, and spectral methods for ODEs and PDEs, with a stronger emphasis on PDEs.
  • Another participant suggests "Numerical Recipes" but expresses uncertainty about its adequacy for the requested topics.
  • A third participant acknowledges the suggestion but reiterates the need for a book that focuses more on PDEs, indicating that "Numerical Recipes" lacks sufficient information on that subject.
  • A further reply offers a link to a resource and an email option to obtain a recommended book, emphasizing its quality and availability for permanent use.

Areas of Agreement / Disagreement

Participants generally agree on the need for a book focused on advanced numerical methods for PDEs, but there is no consensus on specific titles or resources that meet these criteria.

Contextual Notes

Some participants express uncertainty about the adequacy of suggested resources, highlighting the need for more specialized content on PDEs. The discussion does not resolve which book would be the best fit.

Who May Find This Useful

Undergraduate students or individuals interested in advanced numerical methods for PDEs, particularly those who have completed an introductory course in numerical methods.

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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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