Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The B-spline recurrence relations of Chakalov and of Popoviciu

We discuss the early history of B-splines with an arbitrary knot sequence, and of their recurrence relations. These seem to have first appeared in papers of Popoviciu and Chakalov from the 1930’s. key words B-spline, recurrence, divided difference

متن کامل

Generalized Gauss – Radau and Gauss – Lobatto Formulae ∗

Computational methods are developed for generating Gauss-type quadrature formulae having nodes of arbitrary multiplicity at one or both end points of the interval of integration. Positivity properties of the boundary weights are investigated numerically, and related conjectures are formulated. Applications are made to moment-preserving spline approximation. AMS subject classification: 65D30.

متن کامل

Rates of Convergence of Gauss, Lobatto, and Radau Integration Rules for Singular Integrands

Rates of convergence (or divergence) are obtained in the application of Gauss, Lobatto, and Radau integration rules to functions with an algebraic or logarithmic singularity inside, or at an endpoint of, the interval of integration. A typical result is the following: For a generalized Jacobi weight function on [-1,1], the error in applying an «-point rule to f(x) = \x -y\~* isO(n~2 + 2i), if y ...

متن کامل

Stability of the Radau IA and Lobatto IIIC methods for neutral delay differential system

Numerical stability is considered for several Runge-Kutta methods to systems of neutral delay differential equations. The linear stability analysis is adopted to the system. Adapted with the equistage interpolation process as well as the continuous extension, the Runge-Kutta methods are shown to have the numerical stability similar to the analytical asymptotic stability with arbitrary stepsize,...

متن کامل

ذخیره 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: The ANZIAM Journal

سال: 2002

ISSN: 1446-1811,1446-8735

DOI: 10.1017/s144618110001261x