AbstractIn this paper we describe and justify a method for integrating over implicitly defined curves. This method does not require that the Jacobian be known explicitly. We give a proof of an asymptotic error expansion for this method which is a modification of that of Lyness [4]
AbstractAn operator A of the form (Af)(x)=∑jajf(cx+j), where ∑jaj=1,0<|c|<1, is considered in p-adic...
The error in the trapezoidal rule quadrature formula can be attributed to discretization in the inte...
AbstractThe present work makes the case for viewing the Euler–Maclaurin formula as an expression for...
AbstractIn this paper we describe and justify a method for integrating over implicitly defined curve...
AbstractAlthough the predictor-corrector curve tracing method has found a wide variety of significan...
AbstractThis paper is concerned with the numerical integration of functions by piecewise polynomial ...
AbstractThe aim of this paper is to present a higher order predictor method for the numerical tracin...
AbstractWe examine a single-step implicit-integration algorithm which is obtained by a modification ...
AbstractWe prove the existence of an asymptotic expansion of the error for composite integration for...
AbstractWe treat the theory of numerical quadrature over a square using an m2 copy Q(m)ƒ of a one-po...
AbstractThe classical bounds on the truncation error of quadrature formulas obtained by Peano's Theo...
AbstractThe Euler-MacLaurin summation formula is used to deduce the Whittaker-Shannon sampling theor...
In this paper, we first summarize the algorithm presented in Blasco and Pérez-Díaz (2014) for comput...
AbstractHadamard expansions are constructed for Laplace-type integrals containing a parameter and an...
In this paper we deal with the following problem: given an algebraic plane curve C, implicitly defi...
AbstractAn operator A of the form (Af)(x)=∑jajf(cx+j), where ∑jaj=1,0<|c|<1, is considered in p-adic...
The error in the trapezoidal rule quadrature formula can be attributed to discretization in the inte...
AbstractThe present work makes the case for viewing the Euler–Maclaurin formula as an expression for...
AbstractIn this paper we describe and justify a method for integrating over implicitly defined curve...
AbstractAlthough the predictor-corrector curve tracing method has found a wide variety of significan...
AbstractThis paper is concerned with the numerical integration of functions by piecewise polynomial ...
AbstractThe aim of this paper is to present a higher order predictor method for the numerical tracin...
AbstractWe examine a single-step implicit-integration algorithm which is obtained by a modification ...
AbstractWe prove the existence of an asymptotic expansion of the error for composite integration for...
AbstractWe treat the theory of numerical quadrature over a square using an m2 copy Q(m)ƒ of a one-po...
AbstractThe classical bounds on the truncation error of quadrature formulas obtained by Peano's Theo...
AbstractThe Euler-MacLaurin summation formula is used to deduce the Whittaker-Shannon sampling theor...
In this paper, we first summarize the algorithm presented in Blasco and Pérez-Díaz (2014) for comput...
AbstractHadamard expansions are constructed for Laplace-type integrals containing a parameter and an...
In this paper we deal with the following problem: given an algebraic plane curve C, implicitly defi...
AbstractAn operator A of the form (Af)(x)=∑jajf(cx+j), where ∑jaj=1,0<|c|<1, is considered in p-adic...
The error in the trapezoidal rule quadrature formula can be attributed to discretization in the inte...
AbstractThe present work makes the case for viewing the Euler–Maclaurin formula as an expression for...
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