Optimal quadratures for a certain class of analytic functions
Displaying 141 – 160 of 213
Orthogonal polynomials and quadrature.
Gautschi, Walter (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Orthogonal polynomials on the semicircle
Walter Gautschi (1990)
Banach Center Publications
Pál-type interpolation and quadrature formulae on Laguerre abscissas.
Lénárd, Margit (2004)
Mathematica Pannonica
Parameter Tuning and Repeated Application of the IMT-type Transformation in Numerical Quadrature.
K. Murota, M. Iri (1982)
Numerische Mathematik
Procedure for Constructing Quadrature Formulae on Infinite Intervals.
A. GHIZZETTI (1968)
Numerische Mathematik
Product Integration of Piecewise Continuous Integrands Based on Cubic Spline Interpolation at Equally Spaced Nodes.
C. Dagnino, A. Palamara Orsi (1987/1988)
Numerische Mathematik
Product Integration of Singular Integrands Based on Cubic Spline Interpolation at Equally Spaced Nodes.
Catterina Dagnino (1990)
Numerische Mathematik
Product Integration with the Clenshaw-Curtis Points: Implementation and Error Estimates.
I.H. Sloan, W.E. Smith (1980)
Numerische Mathematik
Produktintegration mit nicht-äquidistanten Stützstellen.
C. Schneider (1980)
Numerische Mathematik
Quadrature Formulae for Hp Functions.
Donald J. Newman (1979)
Mathematische Zeitschrift
Quadrature formulas based on the scaling function
Václav Finěk (2005)
Applications of Mathematics
The scaling function corresponding to the Daubechies wavelet with two vanishing moments is used to derive new quadrature formulas. This scaling function has the smallest support among all orthonormal scaling functions with the properties and . So, in this sense, its choice is optimal. Numerical examples are given.
Quadrature Formulas for Oscillatory Integral Transforms.
R. Wong (1982)
Numerische Mathematik
Quadrature of singular integrands over surfaces.
Atkinson, Kendall (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Quadrature over the sphere.
Atkinson, Kendall, Sommariva, Alvise (2005)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Quadrature-free quasi-interpolation on the sphere.
Ganesh, M., Mhaskar, H.N. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Remainder Term in Chakalov-Popoviciu Quadratures of Radau and Lobatto Type and Influence Function
Miodrag M. Spalević (2001)
Publications de l'Institut Mathématique
Sharp error bounds for some quadrature formulae and applications.
Ujević, Nenad (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Sharp Estimates in Terms of Moduli of Smoothness for Compound Cubature Rules.
R.J. Nessel, B. Büttgenbach, ... (1989/1990)
Numerische Mathematik
Solving a class of multivariate integration problems via Laplace techniques
Jean B. Lasserre, Eduardo S. Zeron (2001)
Applicationes Mathematicae
We consider the problem of calculating a closed form expression for the integral of a real-valued function f:ℝⁿ → ℝ on a set S. We specialize to the particular cases when S is a convex polyhedron or an ellipsoid, and the function f is either a generalized polynomial, an exponential of a linear form (including trigonometric polynomials) or an exponential of a quadratic form. Laplace transform techniques allow us to obtain either a closed form expression, or a series representation that can be handled...