numerical capabilities
- To: mathgroup at smc.vnet.net
- Subject: [mg68260] numerical capabilities
- From: dimmechan at yahoo.com
- Date: Mon, 31 Jul 2006 03:45:13 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi to all. I work as a researcher in an engineering university and recently I was asked to demonstrate the numerical capabilities of Mathematica to some collegues and professors. I have prepared a presentation based on my experience, Mathematica book, Gass' book for Mathematica, material from this forum and some articles/notebooks regarding numerical computation I have found in Wolfram's site. Already I have a lot of staff as regards the numerical solution of differential and algebraic equations and the numerical evaluation of integrals. However, what I really need is to establish my belief that the results obtained by the used numerical built-in functions (for example NIntegrate) are the same reliable, if not more than those obtained from other systems. Here in the university, I have a lot of arguments with people who believe that for numerical integration (e.g. for improper very slowly convergent oscillatory integrals) or for more advanced numerical computations (e.g. in Finite and Boundary Ellements) is better to use other systems or programming languages. I have found a lot of examples of complicated integrals (proper and improper) that Mathematica evaluated accurately, but still I can convince them that the numerical integration offers reliability, speed and insight. Any ideas will be greatly appreciated. Thanks in advance.