Re: How to choose a numerical method?
- From: Anders <Anders.Lyckegaard@xxxxxxxxx>
- Date: Tue, 27 May 2008 12:39:19 -0700 (PDT)
On 27 Maj, 14:15, "pApAk" <n...@xxxxxxxxx> wrote:
Hi,
i am solving a "duffing-like" 2nd order nonlinear diff. equation (in Matlab)
using Dormand-Prince method (based on an explicit Runge-Kutta (4,5) formula)
with variable step. However, how can i be sure that i have chosen a "good
method", i.e. how can i examine the method, i.e. the errors of method used
for solving of my equation?
You might consider calculating conserved entities. Say you know that
energy, or linear/angular momentum should be conserved, then you could
evaluate these.
For Hamiltonian systems there are a bunch of algorithms available that
guarantee these properties. See e.g. the excellent book by Hairer et
al. Geometric Numerical Integration: Structure-preserving Algorithms
for Ordinary Differential Equations.
Please, help!
Thanks.
P.S. I posted this question on math-group and matlab-group also, but then it
was recommended to me that i should send it to this group. So, sorry for
spaming :-/
No problem,
Best,
Anders
.
- References:
- How to choose a numerical method?
- From: pApAk
- How to choose a numerical method?
- Prev by Date: Calculating log gamma
- Next by Date: Re: Plastic Materials
- Previous by thread: How to choose a numerical method?
- Next by thread: Calculating log gamma
- Index(es):
Relevant Pages
|
