Calculus, Interpolation, and Differential Equations

In this chapter, we will present the following recipes:

  • Integration
  • Computing integrals using a Gaussian quadrature
  • Computing integrals with weighting functions
  • Computing multiple integrals
  • Interpolation
  • Computing a polynomial interpolation for a set of data points
  • Univariate interpolation
  • Finding a cubic spline that interpolates a set of data
  • Defining a B-spline for a given set of control points
  • Differentiation
  • Solving a one-dimensional ordinary differential equation
  • Solving a system of ordinary differential equations
  • Solving differential equations and systems with parameters
  • Using ode and the objected-oriented interface to solve differential equations
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