Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2003
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2003

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Algebra of differential operators

  • To: mathgroup at smc.vnet.net
  • Subject: [mg39391] Re: Algebra of differential operators
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Thu, 13 Feb 2003 04:58:31 -0500 (EST)
  • Organization: The University of Western Australia
  • References: <b1t521$8ql$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <b1t521$8ql$1 at smc.vnet.net>,
 Paolo Zavarise <paolozavarise at libero.it> wrote:

> What's the best way (simple, general and without dummy functions) to define
> in mathematica 4.2 a differential operator?
>
> For example, how can I evaluate laplacian operator in spherical coordinates
> ? (without using ad-hoc packages...

What do you mean by "ad-hoc packages..."?

> i want to enter expression of d/dx, d/dy, d/dz and mathematica must
> compute (d/dx)^2+(d/dy)^2+(d/dz)^2)

At http://physics.uwa.edu.au/pub/Mathematica/MathGroup/ChangingVariables.nb
you'll find one approach.

For a more general and powerful approach there is the Differential Forms
package by Frank Zizza at http://www.willamette.edu/~zizza/ and the
Symbolic Vector Analysis package by Hong Qin at http://w3.pppl.gov/~hongqin/computerAlgebra.htm

> How can i evaluate powers,product etc... of operators ?

Dan Lichtblau has posted a number of messages to MathGroup on this
topic. See also The Mathematica Journal 8(1).

Cheers,
Paul


~
~
~


  • Prev by Date: Re: Input output disappear
  • Next by Date: Re: Re: Re: Trouble with Integrate
  • Previous by thread: Algebra of differential operators
  • Next by thread: Can matrix inversion mod N be automated?