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: <email@example.com>
- 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)
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).
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