[PDF][PDF] Gauss-Kronrod quadrature formulae-a survey of fifty years of research

SE Notaris - Electron. Trans. Numer. Anal, 2016 - etna.math.kent.edu
Kronrod in 1964, trying to estimate economically the error of the n-point Gauss quadrature
formula for the Legendre weight function, developed a new formula by adding to the n …

Collocation method for linear and nonlinear Fredholm and Volterra integral equations

N Ebrahimi, J Rashidinia - Applied Mathematics and Computation, 2015 - Elsevier
A collocation procedure is developed for the linear and nonlinear Fredholm and Volterra
integral equations, using the globally defined B-spline and auxiliary basis functions. The …

B-Spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations

Z Mahmoodi, J Rashidinia, E Babolian - Applicable Analysis, 2013 - Taylor & Francis
A numerical method based on quintic B-spline has been developed to solve the linear and
nonlinear Fredholm and Volterra integro-differential equations up to order 4. The solution …

The error norm of quadrature formulae

SE Notaris - Numerical Algorithms, 2012 - Springer
In certain spaces of analytic functions the error term of a quadrature formula is a bounded
linear functional. We give a survey of the methods used in order to compute explicitly, or in …

Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, Part II

GV Milovanović, MS Pranić, MM Spalević - Applicable Analysis and Discrete …, 2019 - JSTOR
The paper deals with new contributions to the theory of the Gauss quadrature formulas with
multiple nodes that are published after 2001, including numerical construction, error …

Collocation method for solving systems of Fredholm and Volterra integral equations

Z Mahmoodi - International Journal of Computer Mathematics, 2014 - Taylor & Francis
In this paper, a numerical method based on based quintic B-spline has been developed to
solve systems of the linear and nonlinear Fredholm and Volterra integral equations. The …

[PDF][PDF] Collocation method for volterra-Fredholm integro-differential equations

N EBRAHIMI, J RASHIDINIA - Indian J. Sci. Res, 2014 - Citeseer
This paper introduces an approach for obtaining the numerical solution of the linear and
nonlinear Volterra-Fredholm integro-differential equations based on quintic B-spline …

[PDF][PDF] Quadrature Formulae with Multiple Nodes

GV Milovanovic, MM Spalevic, MS Pranic - 2017 - mi.sanu.ac.rs
Quadrature Formulae With Multiple Nodes Page 1 Gradimir V. Milovanovic Miodrag M.
Spalevic Miroslav S. Pranic Quadrature Formulae With Multiple Nodes Mathematics …