fujimoto2005 |
I want to integrate a user function f(x,y1,y2) from a to b with respect to x.
1, I don't see the difference between "integrate" and "intg". I saw help file and find "integrate" can manage multi upper limits. Except it, I can't find any differences between two functions. Is there a difference in the accuracy or calculation method? "intg" has a fixed number of partitions. Does "integrate" increase the number of partitions automatically until the accuracy is not improved? I do not understand the difference with the help file. 2, I could use "intg" with "intg (a, b, list (f, y1, y2))", but I could't use "integrate" with "integrate (list ("f", y1, y2), "x", a, b)" or "integrate (list (f, y1, y2), "x", a, b)". What is wrong with the syntax? Best regards -- Sent from: http://mailinglists.scilab.org/Scilab-users-Mailing-Lists-Archives-f2602246.html _______________________________________________ users mailing list [hidden email] http://lists.scilab.org/mailman/listinfo/users |
Hello Fujimoto2005,
Le 22/02/2018 à 14:19, fujimoto2005 a écrit : > I want to integrate a user function f(x,y1,y2) from a to b with respect to x. > > 1, I don't see the difference between "integrate" and "intg". I saw help > file and find "integrate" can manage multi upper limits. Except it, I can't > find any differences between two functions. Is there a difference in the > accuracy or calculation method? No, since integrate() actually calls intg() to proceed. integrate() is a wrapper for intg(). > "intg" has a fixed number of partitions. Its algorithm is adaptative. The partition is dynamically refined when some local variations of the function are detected and fast. > Does "integrate" increase the > number of partitions automatically until the accuracy is not improved? Yes, since intg() does it and is called by integrate(). > I do not understand the difference with the help file. > 2, I could use "intg" with "intg (a, b, list (f, y1, y2))", but I could't > use "integrate" with "integrate (list ("f", y1, y2), "x", a, b)" or > "integrate (list (f, y1, y2), "x", a, b)". What is wrong with the syntax? You are right. This integrate (list (f, y1, y2), "x", a, b) syntax could be added. But it is possible to use "local" parameters, like this: a = 3; x1 = 0:0.1:2*%pi; X = integrate('sin(a*x)', 'x', 0, x1); // Checking norm((1-cos(a*x1))/a -X) --> norm((1-cos(a*x1))/a -X) ans = 2.491D-15 The only thing is that the name of "local" parameters must not collide an internal parameter of integrate: --> edit integrate The list() feature specific to intg() could be included into integrate(). Then intg() could be undocumented as an internal function of integrate(). If you agree and wish such a merge, would you mind filling in a wish report on Bugzilla? Best regards Samuel _______________________________________________ users mailing list [hidden email] http://lists.scilab.org/mailman/listinfo/users |
Dear Samuel.
Thank for your advice. I will fill in a wish report on Bugzilla. Best regards. -- Sent from: http://mailinglists.scilab.org/Scilab-users-Mailing-Lists-Archives-f2602246.html _______________________________________________ users mailing list [hidden email] http://lists.scilab.org/mailman/listinfo/users |
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