Numerical evaluation for Cauchy type singular integrals on the interval
نویسندگان
چکیده
منابع مشابه
Numerical Evaluation of Cauchy Principal Value Integrals with Singular Integrands
Convergence results are proved for sequences of interpolatory integration rules for Cauchy principal value integrals of the form -l k(x)(f(x)/(x-X))dx, -1<A<1, -i when f(x) is singular at a point { / À and the singularity is ignored or avoided. /:'
متن کاملa cauchy-schwarz type inequality for fuzzy integrals
نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولApproximating the singular integrals of Cauchy type with weight function on the interval
It is known that the solutions of characteristic singular integral equations (SIEs) are expressed in terms of singular integrals of Cauchy type with weight functions w (x) = (1 + x)ν (1-x)μ, where ν = ± frac(1, 2), μ = ± frac(1, 2). New quadrature formulas (QFs) are presented to approximate the singular integrals (SIs) of Cauchy type for all solutions of characteristic SIE on the interval [-1, ...
متن کاملTWO LOW-ORDER METHODS FOR THE NUMERICAL EVALUATION OF CAUCHY PRINCIPAL VSlLUE INTEGRALS OF OSCILLATORY KIND
In this paper, we develop two piecewise polynomial methods for the numerical evaluation of Cauchy Principal Value integrals of oscillatory kind. The two piecewisepolynomial quadratures are compact, easy to implement, and are numerically stable. Two numerical examples are presented to illustrate the two rules developed, The convergence of the two schemes is proved and some error bounds obtai...
متن کاملtwo low-order methods for the numerical evaluation of cauchy principal vsllue integrals of oscillatory kind
in this paper, we develop two piecewise polynomial methods for the numerical evaluation of cauchy principal value integrals of oscillatory kind. the two piecewisepolynomial quadratures are compact, easy to implement, and are numerically stable. two numerical examples are presented to illustrate the two rules developed, the convergence of the two schemes is proved and some error bounds obtained,
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.09.034