Self-adaptive quadrature and numerical path integration
نویسندگان
چکیده
منابع مشابه
Numerical integration over a disc. A new Gaussian quadrature formula
The ordinary type of information data for approximation of functions f or functionals of them in the univariate case consists of function values {f(x1), . . . , f(xm)}. The classical Lagrange interpolation formula and the Gauss quadrature formula are famous examples. The simplicity of the approximation rules, their universality, the elegancy of the proofs and the beauty of these classical resul...
متن کاملAutomatic integration using asymptotically optimal adaptive Simpson quadrature
We present a novel theoretical approach to the analysis of adaptive quadratures and adaptive Simpson quadratures in particular which leads to the construction of a new algorithm for automatic integration. For a given function [Formula: see text] with [Formula: see text] and possible endpoint singularities the algorithm produces an approximation to [Formula: see text] within a given [Formula: se...
متن کاملNumerical Quadrature: Theory and Computation
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x Chapter
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2000
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.1305743