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Derivative(s) Infinitesimal Analysis
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I have to say that I am just sad that something like this is not easily performed in SMath Regards, Radovan |
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!" |
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Originally Posted by: omorr I have to say that I am just sad that something like this is not easily performed in SMath In your demo, a small epsilon was added to avoid singular matrix. Interesting: Mathcad copes naturally. we have same as Mathcad: 1. the spline system [l_p_cspline] at choice 2. first derivative 3. vectorized cumulative 4. additional 2nd derivative ... On that one, check what you get from Mathcad. This document can be refactored more professional for extensive use. Jean Radovan.sm (85kb) downloaded 24 time(s).
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Originally Posted by: omorr I have to say that I am just sad that something like this is not easily performed in SMath
Regards, Radovan Yes, it is. For this, and for the issues in the extreme of the interpolation intervals and the importance of that in solve differential equations I write this: Originally Posted by: Razonar Derivative and integral for regular cubic splines. Best regards. Alvaro. di cspline test.sm (87kb) downloaded 48 time(s). Best regards. Alvaro.
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on 05/04/2019(UTC), on 05/04/2019(UTC)
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Originally Posted by: Razonar Yes, it is. For this, and for the issues in the extreme of the interpolation intervals and the importance of that in solve differential equations On that point, Mathcad ODEsolve is based on 'lspline'. Remember it was explored in the Mathsoft Collaboratory. Thanks, most profitable, just finished converting the code to normal variable names ... in the last CS.V(X,Y) ... 'c' created red, thus replaced by 'q'. At the time I checked those splines, Mathcad code is same as Matlab. Matlab tutorial was about 10 pages long ending to same Mathcad tridiagonal. Sanity was checked Mathematica 4.0. Those basic codes were borrowed from the big ACM library. All same as Smath cinterp. Jean
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Originally Posted by: omorr I have to say that I am just sad that something like this is not easily performed in SMath Radovan Some notes about Radovan's sadness :-( CinterpQuickDiffInt.sm (31kb) downloaded 30 time(s).Best regards. Alvaro
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3 users thanked Razonar for this useful post.
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on 05/04/2019(UTC), on 05/04/2019(UTC), on 05/04/2019(UTC)
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Originally Posted by: Razonar Some notes about Radovan's sadness True: Smath "cinterp" is not the best companion and not recognized vs other CAS. As demonstrated in the attached, not as accurate. Jean Spline0 l_p_cspline Dspline,Cumul Copy.sm (84kb) downloaded 23 time(s).
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