The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math.num-analysis

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: highly accurate pde solvers?
Replies: 6   Last Post: Nov 30, 2012 5:34 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Rui Maciel

Posts: 107
Registered: 11/27/05
Re: highly accurate pde solvers?
Posted: Nov 30, 2012 4:51 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Leslaw Bieniasz wrote:

> I need to solve a certain relatively simple PDE
> (evolutionary convection-diffusion in 1D space)
> but with a very high accuracy, ideally with a relative error 10^(-20).

I suspect that such a level of accuracy isn't possible with single and
double-precision floating point types, even if you manage to get the
analytical solution to your PDE. Even the IEEE 754's double extended
floating point data type is only able to express about 19 significant

> Are there any free programs available that can handle such a problem?
> I presume the programs would have to use some sort of arbitrary precision
> arithmetics.

I don't know of free programs, but I believe Mathematica does support
arbitrary precision numbers.

Rui Maciel

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.