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Numerical analysis

In numerical analysis and scientific computing, the trapezoidal rule is a numerical method to solve ordinary differential equations derived from the trapezoidal rule for computing integrals (see also).

Returns the one-dimensional piecewise linear interpolant to a function with given discrete data points (xs, ys), evaluated at x (see also). Several interpolation methods are supported as follow:

  • Linear interpolation: y is linearly interpolated between the two nearest neighbors at x
  • Nearest-neighbor interpolation: y is set to the value of the nearest neighbor at x
  • Constant left interpolation: ys behaves as a integer part function where each y data point extends to the left up to the next index
  • Constant right interpolation: ys behaves as a integer part function where each y data point extends to the right up to the next index

Return the cumulative sum of the elements (see also).

Return the discrete difference of the elements (see also).