Linked Questions

8 votes
2 answers
723 views

Getting an explicit representation of the function returned from Interpolation [duplicate]

I am using Interpolation to get an InterpolatingFunction that fits a set of points. For example, ...
aquirdturtle's user avatar
1 vote
2 answers
298 views

Determining the analytical equation of an interpolating function [duplicate]

I have the following problem I have the following data ...
VDF's user avatar
  • 453
3 votes
0 answers
121 views

Can Mathematica give the explicit expression of InterpolatingFunction? [duplicate]

As we know, using the function Interpolation[], it will generate an object named InterpolatingFunction, so we can get the derivative, the graphic of the function. But sometimes we need the explicit ...
user52830's user avatar
1 vote
0 answers
93 views

Show actual Interpolation function [duplicate]

Is there a command to show the actual function when using the Interpolation command? For example, f = Interpolation[{1, 2, 3, 5, 8, 5}] returns ...
CC2014's user avatar
  • 31
0 votes
0 answers
68 views

How does Mathematica interpolates? [duplicate]

In manual for Interpolate function it is said, that possible method of interpolation is Hermite. Unfortunately, I can't see ...
Suzan Cioc's user avatar
  • 2,023
0 votes
0 answers
53 views

Is it possible to obtain the algebraic expression of an InterpolatingFunction? [duplicate]

Up until now, I have been trying to obtain an expression for an InterpolatingFunction obtained from NDSolve, by using the ...
Meclassic's user avatar
  • 1,015
31 votes
11 answers
3k views

Plotting the Star of Bethlehem

Christmas is around the corner! In preparation, consider the polynomial f[x_,y_]:= 1/10 (4 - x^2 - 2 y^2)^2 + 1/2 (x^2 + y^2) and define $r=(f_x,f_y)$ using the ...
JHT's user avatar
  • 1,005
43 votes
6 answers
6k views

How to splice together several instances of InterpolatingFunction?

I have a set of InterpolatingFunction returned by NDSolve which are valid over different (but overall continuous) domains. How ...
polyglot's user avatar
  • 775
33 votes
3 answers
3k views

Arbitrary precision spline interpolation

The current implementation of Interpolation does not allow arbitrary precision spline interpolation. Yu-Sung Chang says here that "it is not hard to implement it ...
Alexey Popkov's user avatar
21 votes
4 answers
3k views

Interpolating data with a step

Suppose I have some data with a step in it: data = {{1, 1}, {2, 2}, {3, 3}, {3, 4}, {4, 5}, {5, 6}}; Interpolation will complain about this and not give you an ...
wxffles's user avatar
  • 14.2k
10 votes
2 answers
5k views

Numerically solve an integro-differential equation

So the problem is to numerically solve this Integro-Differential Equation, $$-v \frac{\:\mathrm{d}\kern0.1mm x(\zeta)}{\:\mathrm{d}\kern0.1mm \zeta} + \psi(\zeta) x(\zeta) + \int_{0}^{\zeta} f(\zeta, \...
Zack Fair's user avatar
  • 205
14 votes
2 answers
3k views

How to calculate the control points of a Bézier curve?

To plot a BezierCurve in Mathematica, I need control points. But, I do not know the control points; I only know the points through which the Bézier curve passes. ...
Bob Ueland's user avatar
  • 1,069
5 votes
3 answers
428 views

InterpolationOrder creates a sharp valley even if I increase the number of points. How to have a smooth curve?

I have a set of data as the following ...
Kheeyal's user avatar
  • 1,057
8 votes
1 answer
2k views

Hermite interpolation

The well known Hermite interpolation uses piecewise cubic polynomials and fits the knot values and derivatives. In contrast the Mathematica piecewise Interpolation ...
Ulrich Neumann's user avatar
2 votes
3 answers
1k views

Extract function from a parametric interpolating function

I've read the answers of How to make use of an interpolating function outside of Mathematica?, Interpreting the interpolating function and saving data to plot with external program, Extracting the ...
anderstood's user avatar
  • 14.3k

15 30 50 per page