Mathcad Toolbox

#81 Publicado: 6/12/2018 5:36:46

Вячеслав Мезенцев

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Updated. Now you can also use simple form for D() function definition.

Russia ☭ forever, Viacheslav N. Mezentsev

A 4 usuarios les gustó este mensaje

sergio 6/12/2018 6:45:00, frapuano 6/12/2018 6:58:00, Radovan Omorjan 6/12/2018 9:33:00, Alvaro 6/12/2018 10:09:00

#82 Publicado: 6/12/2018 6:01:27

Вячеслав Мезенцев

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But x in D(t,x) is vector.

Russia ☭ forever, Viacheslav N. Mezentsev

#83 Publicado: 24/12/2018 5:33:39

Вячеслав Мезенцев

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Updated.

Now x in simple D(t,x) definition must be a scalar.

iode.examples.sm (204,21 KiB) descargado 2322 vez(es).
iode.kinetic1.sm (7,75 KiB) descargado 2270 vez(es).
iode.kinetic2.sm (14,4 KiB) descargado 2127 vez(es).
iode.kinetic3.sm (14,08 KiB) descargado 7090 vez(es).
iode.integrate.sm (10,57 KiB) descargado 7049 vez(es).
iode.test1.sm (22,49 KiB) descargado 2112 vez(es).
iode.test2.sm (22,5 KiB) descargado 2258 vez(es).
iode.Amplitude detector.sm (20,18 KiB) descargado 2199 vez(es).

iode.examples.pdf (416,34 KiB) descargado 1313 vez(es).
iode.kinetic1.pdf (74,06 KiB) descargado 1133 vez(es).
iode.kinetic2.pdf (90,4 KiB) descargado 1127 vez(es).
iode.kinetic3.pdf (88,45 KiB) descargado 1151 vez(es).
iode.integrate.pdf (88,91 KiB) descargado 1215 vez(es).
iode.test1.pdf (116,24 KiB) descargado 1172 vez(es).
iode.test2.pdf (121,64 KiB) descargado 1125 vez(es).
iode.Amplitude detector.pdf (147,71 KiB) descargado 1211 vez(es).

Russia ☭ forever, Viacheslav N. Mezentsev

A 4 usuarios les gustó este mensaje

sergio 24/12/2018 6:25:00, NDTM Amarasekera 24/12/2018 9:43:00, frapuano 24/12/2018 14:23:00, Radovan Omorjan 24/12/2018 14:51:00

#84 Publicado: 16/1/2019 6:05:17

Вячеслав Мезенцев

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Updated. Rkadapt() fixed.

Russia ☭ forever, Viacheslav N. Mezentsev

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sergio 16/1/2019 6:31:00, NDTM Amarasekera 16/1/2019 7:32:00, frapuano 16/1/2019 6:25:00

#85 Publicado: 31/1/2019 17:43:52

Вячеслав Мезенцев

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Updated ( >= SMath Studio 0.99.6970).

Changes:

- divided into two plugins (the second one is Intel ODE Solver Library);
- version changed (0.2.x.x);
- refactored.

Russia ☭ forever, Viacheslav N. Mezentsev

#86 Publicado: 11/2/2019 9:36:21

Вячеслав Мезенцев

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Some news.

It's hard but I want to realize a general solution for some types of tasks. Specially for this I need more powerful symbolic engine inside SMath. Therefore I made symcs project. I hope that we can use this solution in other similar cases.

That's why I split the plugin.

Russia ☭ forever, Viacheslav N. Mezentsev

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frapuano 11/2/2019 13:49:00, Radovan Omorjan 11/2/2019 10:58:00

#87 Publicado: 11/2/2019 11:01:58

Radovan Omorjan

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I think that most of the Mathcad users know what you intend to do and I really appreciate that

Regards,
Radovan

When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"

#88 Publicado: 11/2/2019 15:52:40

Jean Giraud

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Wrote
I think that most of the Mathcad users know what you intend to do and I really appreciate that

Viacheslav is an ancient Mathsoft visitor.
I still have a document from Him ... 2D Implicit plot.
Is possible to code 1/1 Mathcad Given/ODEsolve ?

#89 Publicado: 11/2/2019 16:35:16

Вячеслав Мезенцев

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No, Jean, 1/1 - not possible. Now they have two different realisations: MC11-MC15 and Prime. But I can do something similar. Plugin can implicity collect information about available ode solvers and you can choose them in the context menu.

Russia ☭ forever, Viacheslav N. Mezentsev

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frapuano 12/2/2019 6:00:00

#90 Publicado: 11/2/2019 16:52:19

Jean Giraud

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Wrote
No, Jean, 1/1 - not possible. Now they have two different realisations: MC11-MC15 and Prime. But I can do something similar. Plugin can implicity collect information about available ode solvers and you can choose them in the context menu.

I can see you "busy" ! Gorgeous context menu.
What is that Smath Community doing: Building Cathedrals/Pyramids ?
You mean: Mathcad Prime "cluster fuck" in US appreciation from Collab.

#91 Publicado: 11/7/2021 0:23:42

Alvaro

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Wrote
Some news.

It's hard but I want to realize a general solution for some types of tasks. Specially for this I need more powerful symbolic engine inside SMath. Therefore I made symcs project. I hope that we can use this solution in other similar cases.

Hi uni. It is possible to enable a clone of that component for return only the expressions inside? For example, the set of the equations

Also, it is possible too to add the option for mark with a round box the area?

Best regards.
Alvaro.

#92 Publicado: 11/7/2021 1:20:49

Вячеслав Мезенцев

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Yes, it is possible.

Russia ☭ forever, Viacheslav N. Mezentsev

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Alvaro 11/7/2021 2:41:00

#93 Publicado: 26/11/2021 0:11:56

Вячеслав Мезенцев

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Coming soon, but for now as an experiment.

Russia ☭ forever, Viacheslav N. Mezentsev

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Davide Carpi 29/11/2021 6:40:00, Alvaro 26/11/2021 4:23:00

#94 Publicado: 28/11/2021 15:47:31

Вячеслав Мезенцев

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I have verified that linear interpolation is used, which is described in the manual.

I changed the interpolation method to linear and also changed the notation of the derivative by analogy ( "`" ).

Russia ☭ forever, Viacheslav N. Mezentsev

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Davide Carpi 29/11/2021 6:40:00

#95 Publicado: 28/11/2021 16:42:18

Вячеслав Мезенцев

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Prime symbol looks much better (′). I think it's better to use it.

Russia ☭ forever, Viacheslav N. Mezentsev

#96 Publicado: 28/11/2021 18:49:59

Вячеслав Мезенцев

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I was wrong. Linear interpolation and linear spline interpolation are different things. I will try to find the formulas that are used in these functions.

Russia ☭ forever, Viacheslav N. Mezentsev

#97 Publicado: 29/11/2021 2:43:07

Вячеслав Мезенцев

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A simple test that shows the interpolation method used by the ODE solver. Obviously, the lspline() function is used.

Odesolve() with rkfixed method (Mathcad 15).

Odesolve interpolation test.mcd.zip (8,84 KiB) descargado 507 vez(es).

The same for Mathcad Prime 7.0 (Adams method used).

Russia ☭ forever, Viacheslav N. Mezentsev

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Davide Carpi 29/11/2021 6:40:00

#98 Publicado: 29/11/2021 20:31:00

Вячеслав Мезенцев

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Ok, I found a bug in rkfixed() and finally figured out the difference between interpolation functions. In the picture below, I repeated part of the calculations from Mathcad. As you can see, to interpolate the numerical solution of the ODE, a cubic spline is used, linear at the end points.

Bugs will be fixed when the build server starts working.

Links:

1. Cubic spline
2. Cubic Spline Interpolation

Cubic spline interpolation using Mathcad (2009).pdf (256,71 KiB) descargado 2756 vez(es).

Russia ☭ forever, Viacheslav N. Mezentsev

#99 Publicado: 29/11/2021 21:30:48

Jean Giraud

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Wrote
Ok, I found a bug in rkfixed() and finally figured out the difference between interpolation functions. In the picture below, I repeated part of the calculations from Mathcad. As you can see, to interpolate the numerical solution of the ODE, a cubic spline is used, linear at the end points.

Thanks Viacheslav ... superb demo.
BTW, I was wrong ODEsolve is lspline MCD 11.
Years ago, Tom G. had exposed the different deficiencies
wrt to each l_p_c cubic spline ... Matlab as well.
So, your next headache is to figure the best solver from
the huge Smath library [17], Mathcad stiff is Radau MCD 2001i, 11.
Cheers ... Jean.

#100 Publicado: 30/11/2021 1:28:14

overlord

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Wrote
BTW, I was wrong ODEsolve is lspline MCD 11.

This day should be accepted as a milestone. We have to celebrate this day annually.
There should be carnivals, fireworks should enlighten the night.

Foro SMath

Mathcad Toolbox - Contains analogs of functions from Mathcad - Mensajes