Numerical integration

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Trapezoid, Midpoint and Simpson integrations
Trapezoid, Midpoint and Simpson integrations
Trapezoid, Midpoint and Simpson integrations
Calculate a table of the integrals of the given function f(x) over the interval (a,b) using Trapezoid, Midpoint and Simpson's methods.
Tanh-Sinh integration (a,b)
Tanh-Sinh integration (a,b)
Tanh-Sinh integration (a,b)
Calculates the integral of the given function f(x) over the interval (a,b) using Tanh-Sinh method (Double exponential formula).
Tanh-Sinh integration_2 (a,b)
Tanh-Sinh integration_2 (a,b)
Tanh-Sinh integration_2 (a,b)
Calculates a table of the successive integral estimates of the given function f(x) over the interval (a,b) by increasing partitions from n to n+9 using Tanh-Sinh method.
Tanh-Sinh integration_3 (a,b)
Tanh-Sinh integration_3 (a,b)
Tanh-Sinh integration_3 (a,b)
Calculates a table of the successive integral estimates of the given function f(x) over the interval (a,b) by doubling partitions from two to N using the Tanh-Sinh method.
Double exponential integration (a,∞)
Double exponential integration (a,∞)
Double exponential integration (a,∞)
Calculates the integral of the given function f(x) over the semi-infinite interval (a,∞) using the Double exponential formula.
Double exponential integration (-∞,b)
Double exponential integration (-∞,b)
Double exponential integration (-∞,b)
Calculates the integral of the given function f(x) over the semi-infinite interval (-∞,b) using the Double exponential formula.
Double exponential integration (-∞,∞)
Double exponential integration (-∞,∞)
Double exponential integration (-∞,∞)
Calculates the integral of the given function f(x) over the infinite interval (-∞,∞) using the Double exponential formula.
Gaussian quadrature
Gaussian quadrature
Gaussian quadrature
Calculates the integral of the given function f(x) over the interval (a,b) using Gaussian quadrature. (i.e. Gauss-Legendre, Gauss-Chebyshev 1st, Gauss-Chebyshev 2nd, Gauss-Laguerre, Gauss-Hermite, Gauss-Jacobi, Gauss-Lobatto and Gauss-Kronrod)
Gauss-Legendre integration
Gauss-Legendre integration
Gauss-Legendre integration
Calculates the integral of the given function f(x) over the interval (a,b) using Gauss-Legendre integration.
Gauss-Kronrod integration
Gauss-Kronrod integration
Gauss-Kronrod integration
Calculates the integral of the given function f(x) over the interval (a,b) using Gauss-Kronrod integration.
Gauss-Lobatto integration
Gauss-Lobatto integration
Gauss-Lobatto integration
Calculates the integral of the given function f(x) over the interval (a,b) using Gauss-Lobatto integration.
Gauss-Chebyshev integration
Gauss-Chebyshev integration
Gauss-Chebyshev integration
Calculates the integral of the given function f(x) over the interval (a,b) using Gauss-Chebyshev integration.
Gauss-Laguerre integration
Gauss-Laguerre integration
Gauss-Laguerre integration
Calculates the integral of the given function f(x) over the interval (0,∞) using Gauss-Laguerre integration.
Gauss-Hermite integration
Gauss-Hermite integration
Gauss-Hermite integration
Calculates the integral of the given function f(x) over the interval (-∞,∞) using Gauss-Hermite integration.
Romberg integration
Romberg integration
Romberg integration
Calculates the integral of the given function f(x) over the interval (a,b) using the Romberg Method.
Romberg array
Romberg array
Romberg array
Calculates the Romberg array produced by applying Richardson’s extrapolation procedure, which forms the basis of the Romberg Method.
Nodes and Weights of Tanh-Sinh
Nodes and Weights of Tanh-Sinh
Nodes and Weights of Tanh-Sinh
Calculates the nodes and weights of the Tanh-Sinh integration.
Nodes and Weights of Gaussian quadrature
Nodes and Weights of Gaussian quadrature
Nodes and Weights of Gaussian quadrature
Calculates the nodes and weights of the Gaussian quadrature. (i.e. Gauss-Legendre, Gauss-Chebyshev 1st, Gauss-Chebyshev 2nd, Gauss-Laguerre, Gauss-Hermite, Gauss-Jacobi, Gauss-Lobatto and Gauss-Kronrod)
Nodes and Weights of Gauss-Legendre
Nodes and Weights of Gauss-Legendre
Nodes and Weights of Gauss-Legendre
Calculates the nodes and weights of the Gauss-Legendre integration.
Nodes and Weights of Gauss-Kronrod
Nodes and Weights of Gauss-Kronrod
Nodes and Weights of Gauss-Kronrod
Calculates the nodes and weights of the Gauss-Kronrod integration.
Nodes and Weights of Gauss-Bond
Nodes and Weights of Gauss-Bond
Nodes and Weights of Gauss-Bond
Calculates the nodes and weights of the Gauss-Bond integration.
Nodes and Weights of Gauss-Lobatto
Nodes and Weights of Gauss-Lobatto
Nodes and Weights of Gauss-Lobatto
Calculates the nodes and weights of the Gauss-Lobatto integration.
Nodes and Weights of Gauss-Chebyshev
Nodes and Weights of Gauss-Chebyshev
Nodes and Weights of Gauss-Chebyshev
Calculates the nodes and weights of the Gauss-Chebyshev integration.
Nodes and Weights of Gauss-Laguerre
Nodes and Weights of Gauss-Laguerre
Nodes and Weights of Gauss-Laguerre
Calculates the nodes and weights of the Gauss-Laguerre integration.
Nodes and Weights of Gauss-Hermite
Nodes and Weights of Gauss-Hermite
Nodes and Weights of Gauss-Hermite
Calculates the nodes and weights of the Gauss-Hermite integration.