Examples

• E8.1The least well-determined physical constants
• E8.2A quantum particle in a gravitational field
• E8.3Drum vibrations with Bessel functions
• E8.4DNA diffraction pattern
• E8.5The gamma function
• E8.6A pendulum making 90-degree swings
• E8.7The circumference of an ellipse
• E8.8Quantum mechanical tunnelling probability for the ground state of the harmonic oscillator
• E8.9The Voigt profile
• E8.10The Euler spiral
• E8.11An application of the exponential integral
• E8.12Visualizing the spherical harmonics
• E8.13Finding the volume of a torus
• E8.14The volume of the unit sphere
• E8.15The mass and centre of mass of a tetrahedron
• E8.16Stokes drag
• E8.17Solving a system of stiff ODEs
• E8.18A projectile with air resistance
• E8.19scipy.interpolate.interp1d
• E8.20scipy.interpolate.interp2d
• E8.21Two-dimensional interpolation with scipy.interpolate.RectBivariateSpline
• E8.22Two-dimensional interpolation with scipy.interpolate.griddata
• E8.23A simple model of an airship envelope
• E8.24Non-linear fitting to an ellipse
• E8.25Weighted and non-weighted least-squares fitting
• E8.26Solving the Euler-Lotka equation
• E8.27The Newton fractal
• E8.28Interpolation of an image
• E8.29The SIR epidemic model