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keisanHigh-precision calculations for everyday life and work

Double exponential numerical integration

TOP/Numerical integration/Double exponential numerical integration
ライブラリ名概要
Numerical integration over the interval (a, b)We compute the integral over the finite interval (a, b) using the double exponential (DE) numerical integration method. This method is also suitable for integrating functions whose endpoints are singular points (±∞).
Numerical integration in the semi-infinite domain (a, ∞)We compute the integral over the semi-infinite domain (a, ∞) using the double exponential (DE) numerical integration method. This method is suitable when the function decays algebraically at infinity.
Numerical integration in the semi-infinite interval (-∞, b)We compute the numerical integral over the semi-infinite interval (-∞, b) using the double exponential (DE) method. This method is suitable when the function decays algebraically at infinity.
Numerical integration over the infinite domain (-∞, ∞)We compute integrals over the infinite domain (-∞, ∞) using double exponential (DE) numerical integration. This method is suitable when the function decays algebraically at infinity.
Tanh-Sinh numerical integration (a, b)Calculates the integral over the finite interval (a, b) using the Tanh-Sinh distribution (double exponential type) with the specified number of partitions.
Tanh-Sinh Numerical Integration: Subpoints and WeightsCalculates the nodes and weights for the Tanh-Sinh numerical integration.