Original examples
Exact-error comparison of trapezoid and Simpson quadrature
Use rational arithmetic to compare composite quadrature errors for x^4 on [0,1] across five nested grid resolutions.
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Original examples
Finite-difference step-size sensitivity
Sweep sixteen step sizes for forward and central differentiation of exp(x) at zero, exposing truncation and rounding behavior against the analytical derivative.
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Software
FiPy
Finite-volume partial differential equation solving for transport and related numerical models.
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Software
healpy
Python interfaces for HEALPix spherical pixelization and map analysis.
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Methods
Integration (scipy.integrate)
An official guide to quadrature from functions or samples, multiple integration and initial-value ODE solving.
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Methods
Interpolation (scipy.interpolate)
An interpolation guide organized by data geometry, smoothness and shape requirements, including structured and scattered data.
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Software
Landlab
Grid and process-model components for Earth-surface dynamics simulations.
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Software
librosa
Audio and music-signal analysis tools, including transforms and feature extraction.
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Methods
Linear Algebra (scipy.linalg)
A guide to dense linear systems, least squares, matrix factorizations, eigenproblems and matrix functions.
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Software
MNE-Python
Processing and analysis tools for electrophysiological recordings such as EEG and MEG.
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Software
mpmath
Arbitrary-precision real and complex arithmetic with special functions and numerical calculus.
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Software
NetworkX
Graph construction, traversal, structural analysis, and network algorithms in Python.
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