In: The Ramanujan Journal, 2015, vol. 38, no. 2, p. 383-422
|
In: Zeitschrift für Physikalische Chemie, 2016, vol. 230, no. 4, p. 519-535
|
In: Integral Equations and Operator Theory, 2009, vol. 63, no. 1, p. 127-150
|
In: European Biophysics Journal, 2003, vol. 32, no. 8, p. 661-670
|
In: International Mathematics Research Notices, 2012, vol. 2012, no. 3, p. 561-606
|
In: Glasgow Mathematical Journal, 2009, vol. 51, no. A, p. 59-73
|
In: Nephrology Dialysis Transplantation, 1996, vol. 11, no. 1, p. 75-80
|
In: ASTIN Bulletin, 2013, vol. 43, no. 2, p. 73-79
|
In: Journal of Computational and Applied Mathematics, 2006, vol. 189(1-2), p. 375-386
The present work makes the case for viewing the Euler–Maclaurin formula as an expression for the effect of a jump on the accuracy of Riemann sums on circles and draws some consequences thereof, e.g., when the integrand has several jumps. On the way we give a construction of the Bernoulli polynomials tailored to the proof of the formula and we show how extra jumps may lead to a smaller...
|
In: Journal of Computational and Applied Mathematics, 2004, vol. 164-165, p. 81
Classical rational interpolation is known to suffer from several drawbacks, such as unattainable points and randomly located poles for a small number of nodes, as well as an erratic behavior of the error as this number grows larger. In a former article, we have suggested to obtain rational interpolants by a procedure that attaches optimally placed poles to the interpolating polynomial, using the...
|