Mathcad Toolbox

#81 Posted: 12/6/2018 5:36:46 AM

Вячеслав Мезенцев

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

Russia ☭ forever, Viacheslav N. Mezentsev

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

#82 Posted: 12/6/2018 6:01:27 AM

Вячеслав Мезенцев

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

Russia ☭ forever, Viacheslav N. Mezentsev

#83 Posted: 12/24/2018 5:33:39 AM

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) downloaded 2152 time(s).
iode.kinetic1.sm (7.75 KiB) downloaded 2089 time(s).
iode.kinetic2.sm (14.4 KiB) downloaded 1969 time(s).
iode.kinetic3.sm (14.08 KiB) downloaded 6905 time(s).
iode.integrate.sm (10.57 KiB) downloaded 6877 time(s).
iode.test1.sm (22.49 KiB) downloaded 1943 time(s).
iode.test2.sm (22.5 KiB) downloaded 2074 time(s).
iode.Amplitude detector.sm (20.18 KiB) downloaded 2030 time(s).

iode.examples.pdf (416.34 KiB) downloaded 1182 time(s).
iode.kinetic1.pdf (74.06 KiB) downloaded 1015 time(s).
iode.kinetic2.pdf (90.4 KiB) downloaded 1010 time(s).
iode.kinetic3.pdf (88.45 KiB) downloaded 1006 time(s).
iode.integrate.pdf (88.91 KiB) downloaded 1101 time(s).
iode.test1.pdf (116.24 KiB) downloaded 1062 time(s).
iode.test2.pdf (121.64 KiB) downloaded 988 time(s).
iode.Amplitude detector.pdf (147.71 KiB) downloaded 1082 time(s).

Russia ☭ forever, Viacheslav N. Mezentsev

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sergio 12/24/2018 6:25:00 AM, NDTM Amarasekera 12/24/2018 9:43:00 AM, frapuano 12/24/2018 2:23:00 PM, Radovan Omorjan 12/24/2018 2:51:00 PM

#84 Posted: 1/16/2019 6:05:17 AM

Вячеслав Мезенцев

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Updated. Rkadapt() fixed.

Russia ☭ forever, Viacheslav N. Mezentsev

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

#85 Posted: 1/31/2019 5:43:52 PM

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 Posted: 2/11/2019 9:36:21 AM

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 2/11/2019 1:49:00 PM, Radovan Omorjan 2/11/2019 10:58:00 AM

#87 Posted: 2/11/2019 11:01:58 AM

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 Posted: 2/11/2019 3:52:40 PM

Jean Giraud

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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 Posted: 2/11/2019 4:35:16 PM

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 2/12/2019 6:00:00 AM

#90 Posted: 2/11/2019 4:52:19 PM

Jean Giraud

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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.

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 Posted: 7/11/2021 12:23:42 AM

Alvaro

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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.

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 Posted: 7/11/2021 1:20:49 AM

Вячеслав Мезенцев

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Yes, it is possible.

Russia ☭ forever, Viacheslav N. Mezentsev

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Alvaro 7/11/2021 2:41:00 AM

#93 Posted: 11/26/2021 12:11:56 AM

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

#94 Posted: 11/28/2021 3:47:31 PM

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 11/29/2021 6:40:00 AM

#95 Posted: 11/28/2021 4:42:18 PM

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 Posted: 11/28/2021 6:49:59 PM

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 Posted: 11/29/2021 2:43:07 AM

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) downloaded 422 time(s).

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

Russia ☭ forever, Viacheslav N. Mezentsev

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Davide Carpi 11/29/2021 6:40:00 AM

#98 Posted: 11/29/2021 8:31:00 PM

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) downloaded 2578 time(s).

Russia ☭ forever, Viacheslav N. Mezentsev

#99 Posted: 11/29/2021 9:30:48 PM

Jean Giraud

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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.

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 Posted: 11/30/2021 1:28:14 AM

overlord

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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.

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Mathcad Toolbox - Contains analogs of functions from Mathcad - Messages