Integration (cmlabs.integrate)

The cmlabs.integrate module provides a collection of integration methods and related utilities.

Integration

rectangle	Composite rectangle method for numerical integration.
midpoint	Composite midpoint method for numerical integration.
trapezoid	Composite trapezoid method for numerical integration.
simpsonq	Composite Simpson's 1/3 method using quadratic polynomial.
simpsonc	Composite Simpson's 3/8 method using cubic polynomial.
weddles	Composite Weddle's method for numerical integration.
newton_cotes	Composite Newton-Cotes method for numerical integration.

Tests

test_rectangle_error	Reach accuracy \(\epsilon\) error for rectangle rule.
test_midpoint_error	Reach accuracy \(\epsilon\) error for midpoint rule.
test_trapezoid_error	Reach accuracy \(\epsilon\) error for trapezoid rule.
test_simpsonq_error	Reach accuracy \(\epsilon\) error for Simpson's rule (quadratic).
test_simpsonc_error	Reach accuracy \(\epsilon\) error for Simpson's rule (cubic).
test_weddles_error	Reach accuracy \(\epsilon\) error for Weddle's rule.
test_newton_cotes_error	Reach accuracy \(\epsilon\) error for Newton-Cotes rule.
test_rectangle_from_docs_example	Test rectangle rule from docs example.
test_midpoint_from_docs_example	Test midpoint rule from docs example.
test_trapezoid_from_docs_example	Test trapezoid rule from docs example.
test_simpsonq_from_docs_example	Test Simpson's rule (quadratic) from docs example.
test_simpsonc_from_docs_example	Test Simpson's rule (cubic) from docs example.
test_weddles_from_docs_example	Test Weddle's rule from docs example.