
Math General Math Forum  For general math related discussion and news 
 LinkBack  Thread Tools  Display Modes 
December 15th, 2014, 10:15 AM  #1 
Member Joined: Jul 2014 From: Seattle Posts: 96 Thanks: 2  Mathematical physicist doesn't like numerical methods...
Hello all, I wasn't sure whether to post this in real or complex analysis so feel free to move this. I was watching lectures on perturbation theory by Carl Bender () and he says (starting at around 3:50) that he doesn't trust most numerical methods and I was wondering why. I don't see any problem with numerical methods but the problem he uses perturbation theory to get an approximate answer can be solved exactly so I am doubting his word at the minute... I was wondering if you could shed some light on what his problem is with most numerical methods that I'm not aware of. Thanks! 
December 15th, 2014, 11:24 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
I can't speak for his problems in particular, but there's a whole field called numerical analysis that deals with the difficulties of numerical methods and the errors that can result.

December 15th, 2014, 03:29 PM  #3 
Member Joined: Jul 2014 From: Seattle Posts: 96 Thanks: 2 
I'm familiar, I am just not aware of anything that is wrong with "most" of them. There is always an issue with approximations but I don't know anything wrong with them as a concept (at least not one that isn't present in this perturbation theory).

December 15th, 2014, 03:35 PM  #4 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
I would expect perturbation theory to be especially sensitive to numerical analysis issues, so I'm not exactly surprised to hear the quote. But I can't do more than guess as to his true meaning.


Tags 
mathematical, methods, numerical, physicist 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Numerical methodschainrule  bhmk  Differential Equations  1  October 10th, 2014 03:20 PM 
New Numerical Methods. The Rational Mean  arithmeticae  Math Books  16  September 3rd, 2013 06:06 PM 
numerical methods  ramkbala  Calculus  2  July 26th, 2012 04:24 PM 
Numerical Analysis/Methods  args0  Applied Math  3  April 27th, 2011 03:09 PM 
numerical methods  ramkbala  Linear Algebra  0  December 31st, 1969 04:00 PM 