On the error and its control in a two-parameter generalised Newton-Cotes rule

DOI10.1016/S0377-0427(96)00085-4zbMath0870.65017OpenAlexW2004563400MaRDI QIDQ2564289

Ulf Torsten Ehrenmark

Publication date: 17 September 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00085-4

zbMATH Keywords

numerical exampleserror boundquadrature rulesBoole's ruleexact for trigonometric and algebraic polynomialsfive point formulaoptimal frequency parameters

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Remainders in approximation formulas (41A80)

Related Items (3)

A note on the computation of a Green's function for short wavelength water waves over a plane incline ⋮ A note on a recent study of oscillatory integration rules ⋮ Exponentially fitted quadrature rules of Gauss type for oscillatory integrands

Cites Work

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• On a class of modified Newton-Cotes quadrature formulae based upon mixed- type interpolation
• A three-point formula for numerical quadrature of oscillatory integrals with variable frequency
• On computing uniformly valid approximations for viscous waves on a plane beach
• A finite-element estimate with trigonometric hat functions for Sturm- Liouville eigenvalues
• A parallel iterated correction algorithm for the numerical solution of Volterra equations
• On the error estimation for a mixed type of interpolation
• On the error of parameter-dependent compound quadrature formulas
• Quadrature formulae
• The numerical solution of coupled differential equations arising from the Schrödinger equation
• Modified newton–cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies
• A MIXED PROBLEM FOR THE BIHARMONIC EQUATION IN A WEDGE WITH APPLICATION TO DISSIPATING LINEAR WAVES ON A PLANE BEACH

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