Numerical Quadrature Rules for Some Infinite Range Integrals

Numerical Quadrature Rules for Some Infinite Range Integrals

Recently the present author has given a new approach to numerical quadrature and derived new numerical quadrature formulas for finite range integrals with algebraic and/or logarithmic endpoint singularities. In the present work this approach is used to derive new numerical quadrature formulas for integrals of the form J"£" x"e~xf(x) dx and J"o° x"Ep(x)f(x) dx, where Ef(x) is the exponential int...

Quadrature Rules for Fuzzy Integrals

Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions

MSC: 41A55 41A60 65B05 65B10 65B15 65D30 Keywords: Biorthogonal polynomials Numerical integration Symmetric weight functions Acceleration of convergence Levin transformation Rational approximation a b s t r a c t In this work, we derive a family of symmetric numerical quadrature formulas for finite-range integrals I[f ] =  1 −1 w(x)f (x) dx, where w(x) is a symmetric weight function. In partic...

Numerical quadrature for computing of singular integrals

In the present work we have studied superconvergence of Hadamard finite-part integral. We have studied the second-order and the third-order quadrature formulae of Newton-Cotes type. We follow works [Sun, Wu, 2005b], [Lü, Wu, 2005] and work [Wu, Yu and Zhang, 2009] and introduce new rule which gives the same convergence rate as rules in [Lü and Wu, 2005] and [Wu, Yu and Zhang, 2009] but in more ...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.