Integrate a 2D griddedInterpolant wrt one variable

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Anna Thuenen
Anna Thuenen 2019-7-17
编辑： Andrei Bobrov 2019-8-2
Hello,
I would like to know how to integrate a 2D griddedInterpolant with respect to one variable.
I include an example:
[x,y] = ndgrid(-5:0.8:5);
z = x.^2 + y.^2;
F = griddedInterpolant(x,y,z);
integral(@(x) F(x,1),0,1)
The actual interpolant is from data and not availbe in a closed analytical form.
This produces an error. Is there a simple alternative?
  6 个评论
显示 4更早的评论
Torsten
Torsten 2019-7-17
I know, but the quality of the result depends on the denseness of points (x,y) where you can supply z(x,y).
Andrei Bobrov
Andrei Bobrov 2019-8-2
编辑：Andrei Bobrov 2019-8-2
Hi friends!
>> x = -5:0.8:5;
y = x';
z = x.^2 + y.^2;
F = griddedInterpolant({x,y},z,'spline');
integral(@(x)F(x,1),0,1,'ArrayValued',true)
ans =
1.3333
>>

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回答（1 个）

Sai Bhargav Avula
The integral function in MATLAB does Numerical Integration and is the approximate computation of an integral using numerical techniques. As mentioned by the @Torsten the quality depends on the denseness of points (x,y).

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