Results 21 to 30 of about 21,383 (247)
On Birkhoff Quadrature Formulas [PDF]
Proceedings of the American Mathematical Society, 1986 In an earlier work the author has obtained new quadrature formulas (see (1.3)) based on function values and second derivatives on the zeros of ∏ n ( x ) {\prod _n}\left ( x \right ) as defined by (1.2).
openaire +2 more sources
Gauss Legendre Quadrature Formulae for Tetrahedra [PDF]
, 2005 In this paper we consider the Gauss Legendre quadrature method for numerical integration over the standard tetrahedron: {(x, y, z)| 0 ≤ x, y, z ≤ 1, x + y + z ≤ 1} in the Cartesian three-dimensional (x, y, z) space.
Nagaraja, K. V. +2 more
core +1 more source
Weighted quadrature formulae of Gauss-Christoffel-Stancu type
Journal of Numerical Analysis and Approximation Theory, 2003 In the present paper we consider weighted integrals and develop explicit quadrature formulae of Gauss-Christoffel-Stancu type using simple Gaussian nodes and multiple fixed nodes.
Dimitrie D. Stancu +2 more
doaj +2 more sources
Risk estimation for LCF crack initiation
, 2013 An accurate risk assessment for fatigue damage is of vital importance for the design and service of today's turbomachinery components. We present an approach for quantifying the probability of crack initiation due to surface driven low-cycle fatigue (LCF)
Gottschalk, Hanno +3 more
core +1 more source
On surfaces with prescribed shape operator
, 2001 The problem of immersing a simply connected surface with a prescribed shape operator is discussed. From classical and more recent work, it is known that, aside from some special degenerate cases, such as when the shape operator can be realized by a ...
Bryant, Robert L.
core +5 more sources
Simple algorithms for calculation of the axial‐symmetric heat transport problem in a cylinder
Mathematical Modelling and Analysis, 2001 The approximation of axial‐symmetric heat transport problem in a cylinder is based on the finite volume method. In the classical formulation of the finite volume method it is assumed that the flux terms in the control volume are approximated with the ...
H. Kalis, A. Lasis
doaj +1 more source
Gaussian integration with rescaling of abscissas and weights
, 2010 An algorithm for integration of polynomial functions with variable weight is considered. It provides extension of the Gaussian integration, with appropriate scaling of the abscissas and weights.
A. Odrzywolek +29 more
core +1 more source
Advanced Healthcare Materials, EarlyView.The biomimetic nanoplatform IMNP (ETS1 pDNA/PBAE@ITP‐MM) undergoes targeted disassembly at inflammatory vascular sites to release the ETS1 plasmid (pETS1). This release initiates a cascade of effects that inhibit pathogenic pathways and support immune homeostasis. (Abbreviations: EndMT, endothelial‐to‐mesenchymal transition; EC, endothelial cell; TC, T
Feng Zhang +13 more
wiley +1 more source
Universal Journal of Mathematics and Applications, 2019 The main purpose of this paper is to show some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level $m$. Our approach is based on the use of Fourier expansions for the periodic generalized Bernoulli functions of ...
Yamilet Quintana, Héctor Torres-guzmán
doaj +1 more source
Some Remarks on the Trapezoid Rule In Numerical Integration [PDF]
, 1999 In this paper, by the use of some classical results from the Theory of Inequalities, we point out quasi-trapezoid quadrature formulae for which the error of approximation is smaller than in the classical case.
Cerone, Pietro +2 more
core