We construct several sequences of asymptotically optimal definite quadrature formulae of fourth order and evaluate their error constants. Besides the asymptotical optimality, an advantage of our quadrature formulae is the explicit form of their weights ...
In this paper we consider quadrature formulas which use the derivative of only an arbitrary fixed order (m) of function f at the nodes. One of the advantages of the new approach is that we can increase the precision degree of the n-point quadrature ...
Consider a general variational problem of a functional whose domain of definition consists of integral manifolds of an exterior differential system. In particular, this induces classical variational problems with constraints. With the assumption of ...
Association for Computing Machinery
New York, NY, United States
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in