A new conservative numerical integration algorithm for the integrable Henon–Heiles system is presented which conserves all of the constants of motion.

A generalization of two sharp inequalities in a recent paper by N. Ujević is established. Applications in numerical integration are also given and the results of N. Ujević are revised and improved. c © 2006 Elsevier Ltd. All rights reserved.

The anhamtonic effective pair potentials ~(u)=au~~+~u~/3!+yu~/4! in K& and CsBr have been investigated at room temperature by the EXAFS technique. In the parameter fitting, we have directly carried out the numerical integration of EXAFS function and evaluated the anharmonic effective pair potential. The Griineisen parameters y, were calculated from the obtained values of a and 6 as 1.65 for KBr...

Highly-oscillatory integrals are allegedly difficult to calculate. The main assertion of this paper is that that impression is incorrect. As long as appropriate quadrature methods are used, their accuracy increases when oscillation becomes faster and suitable choice of quadrature points renders this welcome phenomenon more pronounced. We focus our analysis on Filon-type quadrature and analyse i...

A wide range of numerical integration options are available in OpenSees to represent distributed plasticity or non-prismatic section details in force-based beam-column elements, i.e., across the entire element domain [0, L]. For the Tcl interpreter of OpenSees, there is a specific input format for each integration option that follows a common input format for the element tag, nodes, and transfo...

I discuss how to sample the space of parton momenta in order to best perform the numerical integrations that lead to a calculation of three jet cross sections and similar observables in electron-positron annihilation. Typeset using REVTEX

Upper and lower bounds for the discrepancy of nodes in lattice rules for multidimensional numerical integration are established. In this way the applicability of lattice rules is extended to nonperiodic integrands.

Computer Algebra Systems are developing very fast and it is now possible to use new computational power very efficiently to analytically integrate dynamical systems. However, the task of producing an appropriate program is time consuming and requires a considerable amount of skills and practice. Here the merits of numerical versus computer algebraic approaches are compared in the context of a s...

Chimera [10] happens to be a version of Schwarz' method and of Lions' space decomposition method (SDM). It was analyzed by Brezzi et al [1] but an estimate was missing for for numerical quadrature. We give it here with new numerical tests.