DotNumerics - SMath

#21 Posted: 8/1/2018 12:54:24 PM

1,555 likes in 1,867 posts.

Group: Moderator

Simple test 2.

DotNumerics.ode.test2.sm (21.23 KiB) downloaded 1672 time(s).
DotNumerics.ode.test2.pdf (79.99 KiB) downloaded 805 time(s).

Russia ☭ forever, Viacheslav N. Mezentsev

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sergio 8/1/2018 6:06:00 PM, Radovan Omorjan 8/2/2018 3:05:00 AM

#22 Posted: 8/1/2018 9:57:14 PM

Jean Giraud

983 likes in 6,866 posts.

Group: User

Wrote
Simple test 2.

Works nice conventional/visual [6179].
That document, if it would come from other designer
would pass my QA [Quality Assurance].

Jean

DotNumerics.ode.test2.sm (24.51 KiB) downloaded 1762 time(s).

#23 Posted: 9/9/2018 2:23:36 PM

Martin Kraska

1,359 likes in 2,273 posts.

Group: Moderator

It seems that all the dotnumeric ode solver functions fail to add the last step to the solution. In the given example, the exact solution is (approximately) met if the end value of x is increased by one step (x_end/steps).

The sheet is easily extended to whatever ode solvers by adding their name to the search list. The actually available solvers depend on what plugins are installed.

Section Math ODE precision.sm (23.66 KiB) downloaded 1818 time(s).
$Section Math ODE precision.png$

Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9

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frapuano 9/9/2018 5:18:00 PM, Вячеслав Мезенцев 9/10/2018 5:37:00 AM

#24 Posted: 9/10/2018 6:48:25 AM

Вячеслав Мезенцев

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Group: Moderator

Updated for SS 0.99.6824. Intervals issue fixed.

Russia ☭ forever, Viacheslav N. Mezentsev

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sergio 9/10/2018 7:02:00 AM, frapuano 9/10/2018 9:23:00 AM, NDTM Amarasekera 9/10/2018 9:48:00 AM

#25 Posted: 12/6/2018 2:42:53 PM

Вячеслав Мезенцев

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Updated.

Changes:
- zero point issue fixed;
- added support for the simple D(t,x) definition.

Russia ☭ forever, Viacheslav N. Mezentsev

#26 Posted: 12/24/2018 9:13:53 AM

Вячеслав Мезенцев

1,555 likes in 1,867 posts.

Group: Moderator

Updated.

dn.ode.kinetic1.sm (8.26 KiB) downloaded 1915 time(s).
dn.ode.kinetic2.sm (12.59 KiB) downloaded 1792 time(s).
dn.ode.kinetic3.sm (12.28 KiB) downloaded 1842 time(s).
dn.ode.test1.sm (19.58 KiB) downloaded 1860 time(s).
dn.ode.test2.sm (18.88 KiB) downloaded 1834 time(s).
dn.ode.Amplitude detector.sm (20.17 KiB) downloaded 1887 time(s).

dn.ode.kinetic1.pdf (77.42 KiB) downloaded 1042 time(s).
dn.ode.kinetic2.pdf (93.05 KiB) downloaded 979 time(s).
dn.ode.kinetic3.pdf (91.31 KiB) downloaded 963 time(s).
dn.ode.test1.pdf (115.72 KiB) downloaded 941 time(s).
dn.ode.test2.pdf (120.44 KiB) downloaded 932 time(s).
dn.ode.Amplitude detector.pdf (148.87 KiB) downloaded 986 time(s).

Russia ☭ forever, Viacheslav N. Mezentsev

4 users liked this post

NDTM Amarasekera 12/24/2018 9:44:00 AM, sergio 12/24/2018 11:04:00 AM, frapuano 12/24/2018 2:23:00 PM, Radovan Omorjan 12/24/2018 2:52:00 PM

#27 Posted: 12/25/2018 2:49:08 PM

Jean Giraud

983 likes in 6,866 posts.

Group: User

Native works as well.
You can try rkfixedSteven.

#28 Posted: 12/25/2018 4:25:11 PM

Jean Giraud

983 likes in 6,866 posts.

Group: User

Read + interesting stuff.

Chemical Kinetics: Introduction with Mathcad/Maple/MCS. Chapter 3

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frapuano 12/25/2018 7:01:00 PM

#29 Posted: 12/9/2021 9:10:25 AM

Вячеслав Мезенцев

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Plugin updated.

Changes:

- added support the mathematical form of the problem for ODE solvers;
- refactored.

Russia ☭ forever, Viacheslav N. Mezentsev

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sergio 12/9/2021 11:40:00 AM

#30 Posted: 12/20/2021 4:18:13 PM

Вячеслав Мезенцев

1,555 likes in 1,867 posts.

Group: Moderator

Plugin updated.

Changes:

- solution restructured;
- converting the task for the ODE solver to the numerical form is now performed through the Mathcad Toolbox plugin (to avoid code duplication), so it must be installed;
- refactored.

Solvers that support mathematical notation now reuse code from the Mathcad Toolbox plugin. Now there is no need to recompile every such plugin.

Russia ☭ forever, Viacheslav N. Mezentsev

#31 Posted: 8/21/2022 2:43:28 AM

Alvaro

1,125 likes in 1,798 posts.

Group: User

Hi Viacheslav. There are an issue with Implicit and dn_ExplicitRK45, just in the first element. Please see the attached.

dn_ExplicitRK45 issue.sm (8.42 KiB) downloaded 1664 time(s).

Best regards.
Alvaro.

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Вячеслав Мезенцев 8/22/2022 3:11:00 AM

#32 Posted: 8/22/2022 3:12:45 AM

Вячеслав Мезенцев

1,555 likes in 1,867 posts.

Group: Moderator

Plugin updated.

Changes:

- fixed values of initial conditions in the output array for dn_ImplicitRK5() and dn_ExplicitRK45().

Russia ☭ forever, Viacheslav N. Mezentsev

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sergio 8/22/2022 4:19:00 AM, Alvaro 8/23/2022 8:15:00 PM

SMath Forum

DotNumerics - Initial-value problem for nonstiff and stiff ordinary differential equations ODEs - Messages