Rank: 2597 based on 24 downloads (last 30 days) and 2 files submitted
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Charalampos Tsitouras

E-mail
Company/University
TEI of Chalkis
Lat/Long
38.5702590942383, 23.6474304199219

Personal Profile:

Prof., TEI of Chalkis,
Dept. of Applied Sciences,
URL address: http://users.ntua.gr/tsitoura

Professional Interests:
Numerical Analysis & Scientific Computing

 

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Files Posted by Charalampos View all
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20 Feb 2004 rkn86 Solves numerically a system of ODEs of the form d^2 y/ dx^2=f(x,y). Author: Charalampos Tsitouras differential equation..., rungekuttanystrom, mathematics, integrate 11 1
  • 5.0
5.0 | 1 rating
07 Jan 2003 ode86 ode86 integrates a system of ordinary differential equations at stringent tolerances Author: Charalampos Tsitouras differential equation..., rungekutta, mathematics, integrates 13 3
  • 3.0
3.0 | 3 ratings
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05 Apr 2012 ode86 ode86 integrates a system of ordinary differential equations at stringent tolerances Author: Charalampos Tsitouras Oldenhuis, Rody

Just as a general warning to everyone in need of an 8(6) RK integrator in MATLAB who ended up here: There are two problems major with this submission:

- Gamma contains incorrect values

- The estimation of the error (delta) is incorrect: it should read norm(h*(f*gamma(:,1)-f*gamma(:,2)));

Other than that, it works OK.
19 Feb 2011 rkn86 Solves numerically a system of ODEs of the form d^2 y/ dx^2=f(x,y). Author: Charalampos Tsitouras Oldenhuis, Rody

I discovered a bug; your error estimation scheme (the two deltas) is incorrect! Take a look at my RKN1210 integrator how to do it; it will significantly improve your integrator's performance.

Theoretically, if you copy-paste your coefficients into my integrator and adjust the for loop limits from 1:17 to 1:8 and pow=1/12 into pow=1/8, your integrator should inherit all the additional features that I implemented :) I haven't tried this, but I think it's worth a shot.

22 Sep 2004 ode86 ode86 integrates a system of ordinary differential equations at stringent tolerances Author: Charalampos Tsitouras ., drusi

Doesn't accept params to "evalfunc"
10 May 2004 ode86 ode86 integrates a system of ordinary differential equations at stringent tolerances Author: Charalampos Tsitouras musa, yetunde

send the best
Top Tags Applied by Charalampos
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differential equations, mathematics, integrate, integrates, rungekutta
Files Tagged by Charalampos View all
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Updated   File Tags Downloads
(last 30 days) 		Comments Rating
20 Feb 2004 rkn86 Solves numerically a system of ODEs of the form d^2 y/ dx^2=f(x,y). Author: Charalampos Tsitouras differential equation..., rungekuttanystrom, mathematics, integrate 11 1
  • 5.0
5.0 | 1 rating
07 Jan 2003 ode86 ode86 integrates a system of ordinary differential equations at stringent tolerances Author: Charalampos Tsitouras differential equation..., rungekutta, mathematics, integrates 13 3
  • 3.0
3.0 | 3 ratings

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