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Offline OchkovVF  
#1 Posted : 01 December 2024 07:52:00(UTC)
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How can we use here a Mathcad-block?
Lens-Mathcad-Block.sm (44kb) downloaded 14 time(s).

See too
https://en.smath.com/for...af_postst25212_Lens.aspx

Edited by user 01 December 2024 07:54:04(UTC)  | Reason: Not specified
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Offline uni  
#2 Posted : 02 December 2024 00:08:12(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
How can we use here a Mathcad-block?

Here the function rkfixed() can't process the incoming expressions correctly. The block has nothing to do with it, it does not perform detailed analysis of expressions.
This is a bug in the function. The function has not been tested for this case. I can't see what's wrong here right now.

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Offline mkraska  
#3 Posted : 02 December 2024 01:52:45(UTC)
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This is not a solution of the rkfixed problem, just a little playing around with X-Y plot.

Here, an option of setting the aspect ratio of the axes to 1 would be good.

2024-12-01 13_32_39-SMath Solver - [Lens-Mathcad-Block.sm_].png Lens-Mathcad-Block_Kr.sm (53kb) downloaded 6 time(s).
Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Offline OchkovVF  
#4 Posted : 07 December 2024 19:02:58(UTC)
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Mathcad Prime
Lens.png
Lens-MP-1.png
Lens-MP-2.png

Edited by user 07 December 2024 19:09:50(UTC)  | Reason: Not specified
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Offline Cornel  
#5 Posted : 08 December 2024 07:05:34(UTC)
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I am wondering if there is such a kind of Mathcad Prime odesolve for solving differential equations numerically also for SMath Studio somehow?
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Offline OchkovVF  
#6 Posted : 08 December 2024 07:21:21(UTC)
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Originally Posted by: Cornel Go to Quoted Post
I am wondering if there is such a kind of Mathcad Prime odesolve for solving differential equations numerically also for SMath Studio somehow?


Not yet, but will be soon!
Question - why is the answer meters squared, and not just meters?
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Offline uni  
#7 Posted : 08 December 2024 08:29:44(UTC)
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Originally Posted by: Cornel Go to Quoted Post
I am wondering if there is such a kind of Mathcad Prime odesolve for solving differential equations numerically also for SMath Studio somehow?

What's wrong with the existing solvers?

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Offline Cornel  
#8 Posted : 08 December 2024 09:54:39(UTC)
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Originally Posted by: uni Go to Quoted Post
Originally Posted by: Cornel Go to Quoted Post
I am wondering if there is such a kind of Mathcad Prime odesolve for solving differential equations numerically also for SMath Studio somehow?

What's wrong with the existing solvers?



Because odesolve in Mathcad Prime:

1. Do not require to rewrite the differential equation of a higher order into a system of first order odes

2. Determines whether a system is stiff or nonstiff and then is using accordingly the stiff numerical differential eq solver or nonstiff numerical differential eq solver

3. Can solve numerically a system of differential equations (whatever it's a system of first order differential eq or a system of higher order differential eq)

What are these existing numerical solvers of differential eq in SMath? What are the posibilities of SMath to solve numerically differential equations? Exist at least one solver that mimic the Mathcad Prime odesolve (i.e. the 3 points above menționed)?

Edited by user 08 December 2024 09:59:54(UTC)  | Reason: Not specified
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Offline Razonar  
#9 Posted : 08 December 2024 11:04:39(UTC)
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Hi Cornel. For points 1 and 3, SMath can do what Mathcad can, and just a little more. Please, check the first post in this plugin. Can mathcad solve this odes?

RKA.sm (309kb) downloaded 50 time(s).
RKA.pdf (932kb) downloaded 50 time(s).

About point 2, one would have to review the documentation for the following plugins to see if they are capable, and to what extent, of doing what you are asking, and choose it for the solver in the SMath's solver block.

● Intel ODE Solver Library
● DotNumerics
● SADEL
● Matlab C++ Math Library
● OSLO
● lsoda
● GNU Scientific Library (GSL)


Best regards.
Alvaro.

Edited by user 08 December 2024 11:13:42(UTC)  | Reason: Not specified
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Offline Razonar  
#10 Posted : 08 December 2024 14:58:47(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
How can we use here a Mathcad-block?
Lens-Mathcad-Block.sm (44kb) downloaded 14 time(s).

See too
https://en.smath.com/for...af_postst25212_Lens.aspx


Hi. dsol can solve it with this setup:

dsol.png

RKA-Lens.sm (180kb) downloaded 7 time(s).

I also use the Martin's setup for the plot.

Best regards.
Alvaro.

Edited by user 08 December 2024 15:21:37(UTC)  | Reason: Not specified
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Offline OchkovVF  
#11 Posted : 09 December 2024 16:44:48(UTC)
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Offline Razonar  
#12 Posted : 10 December 2024 10:11:05(UTC)
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Hi Valery. This is a way.

lens.png

spherical aberration.sm (16kb) downloaded 9 time(s).

Best regards.
Alvaro.

Edited by user 10 December 2024 11:54:16(UTC)  | Reason: Not specified
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Offline OchkovVF  
#13 Posted : 10 December 2024 18:38:25(UTC)
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Thanks!
The last step
Cyrcles.png
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Offline Razonar  
#14 Posted : 11 December 2024 03:21:41(UTC)
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Hi. The screen. I also simplify a little the calculations.

spherical aberration.sm (27kb) downloaded 10 time(s).

lens.png

Best regards.
Alvaro.
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Offline oscampo  
#15 Posted : 11 December 2024 03:35:39(UTC)
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Originally Posted by: Razonar Go to Quoted Post
Hi Valery. This is a way.

...

spherical aberration.sm (16kb) downloaded 9 time(s).

Best regards.
Alvaro.



Very elegant solution
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Offline mkraska  
#16 Posted : 11 December 2024 09:06:13(UTC)
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Root-free version of the spherical lens

spherical aberration_Kr.png
spherical aberration_Kr.sm (13kb) downloaded 7 time(s).

Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Offline Razonar  
#17 Posted : 11 December 2024 12:22:06(UTC)
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Originally Posted by: oscampo Go to Quoted Post
Very elegant solution


Gracias Oscar! Pero espérate tantito nomás para que veas lo que puede hacer un doc alemán.

Thanks Oscar! But wait a little longer so you can see what a German doctor can do.

Best regards.
Alvaro.
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Offline uni  
#18 Posted : 12 December 2024 10:49:07(UTC)
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spherical aberration_Kr.png
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