نتایج جستجو برای: numerical integration

تعداد نتایج: 541328  

Journal: :sahand communications in mathematical analysis 2015
parviz darania jafar ahmadi shali

in this paper, we studied the numerical solution of nonlinear weakly singular volterra-fredholm integral equations by using the product integration method. also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear volterra-fredholm integral equations. the reliability and efficiency of the proposed scheme are...

In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are...

Journal: :caspian journal of mathematical sciences 2014
mohammad zarebnia maryam derakhshan

in this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. the method is applied to a few test examples to illustrate the accuracy and the implementation of the method

In this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.

1999
R. Sureshkumar

i=0 if(xi): (2) i.e., we express the numerical approximation to the integral I(f) as a sum of a series of nite number of terms, each term containing the value of the function at a given point xi weighted by a coe cient i. One way to determine the coe cients i is to replace the original function f(x) by an interpolating function which is simple enough, or in the terminology of numerical analysts...

Journal: :Oberwolfach Reports 2016

Journal: :Mathematics of Computation 1966

2002
Gordon K. Smyth

This article focuses on the process of approximating a definite integral from values of the integrand when exact mathematical integration is not available. This problem arises in statistics when marginal density functions or expected values of random variables are required. The article describes classical univariate quadrature methods including the trapezoidal rule, Simpson’s rule, Newton-Cotes...

Journal: :Cybernetics and Computer Technologies 2020

Journal: :Mathematics of Computation 1957

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