Results 51 to 60 of about 4,201 (221)

Double inequalities for quadrature formula of Gauss type

Journal of Numerical Analysis and Approximation Theory, 2011
Double inequalities for the remainder term of the Gauss quadrature formula are given. These inequalities are sharp. Will also be considered particular cases for \(n = 1, 2\).
Marius Heljiu
doaj   +2 more sources

Quadrature Formula For Sampled Functions

, 2010
This paper deals with efficient quadrature formulas involving functions that are observed only at fixed sampling points. The approach that we develop is derived from efficient continuous quadrature formulas, such as Gauss-Legendre or Clenshaw-Curtis quadrature.
Minaoui, Khalid, Chonavel, Thierry, Nsiri, Benayad, Aboutajdine, Driss   +3 more
openaire   +2 more sources

Quadrature Formulae and Polynomial Inequalities

Journal of Approximation Theory, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guessab, A, Rahman, Q.I
openaire   +1 more source

On Bending in the As‐Rigid‐As‐Possible Deformation Energy

Computer Graphics Forum, EarlyView.
Abstract The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty.
Ugo Finnendahl, Marc Alexa
wiley   +1 more source

Comparison of Mesoscale Crack Advance and Process Zone Element Approaches for Simulating Ductile Crack Trajectories in Steel

Fatigue &Fracture of Engineering Materials &Structures, EarlyView.
ABSTRACT Rigorous application of continuum damage mechanics (CDM) models coupled with crack propagation schemes can predict crack branching or zigzag trajectories near the crack tip, even when the macroscopic crack growth is straight. This arises from oscillations in the local damage field and is consistent with experimental observations of ductile ...
Andrew Ziccarelli, Amit Kanvinde, Gregory Deierlein   +2 more
wiley   +1 more source

Quadrature formula for computed tomography

Journal of Approximation Theory, 2010
The authors present a Gaussian quadrature formula for integrals of the form \[ \int_B f(x,y) U_n(x\cos\theta+y\sin\theta)\,dx\,dy \] over the unit disk \(B\) for the Chebyshev polynomials \(U_n\) of second kind. The formula involves \(n\) Radon projections on \(B\), has the maximal degree \(3n+1\) of precision, and is unique by this property. It may be
Bojanov, Borislav, Petrova, Guergana
openaire   +2 more sources

Appraisal of Six Natural Mica Reference Materials for In Situ Rb‐Sr Geochronology

Geostandards and Geoanalytical Research, EarlyView.
Key Points Evaluated six natural mica reference materials for in situ LA‐ICP‐MS/MS Rb‐Sr geochronology using geochemical, microstructural and isotopic characterisation. Identified robust primary reference materials: Mount Dromedary biotite (99.37 Ma) and Mica‐Fe biotite (307.75 Ma). La Posta biotite and Högsbo muscovite are suitable secondary reference
Hugo K.H. Olierook, Bruno V. Ribeiro, Janne Liebmann, Kai Rankenburg, Fred Jourdan, Ahmad Redaa, Jarred C. Lloyd, Thomas M. Belgrano, Carlos R. Corella Santa Cruz, Yujin Jegal, Julien Mercadier, Catherine Zimmermann, Jie Yu, Andreas Zametzer, Christopher L. Kirkland, Sarah E. Gilbert, Craig D. Storey, Luc S. Doucet, Isabelle Jones, Louisa Stokes, Thomas Zack, Delia Rösel, Denis Fougerouse, Jonas Kaempf, Priyanjan Datta, Hijas Hameed, Noreen J. Evans, Malcolm P. Roberts, Juraj Farkas, Stijn Glorie, Celia Mayers, R. Adam Frew, Sarah Al Odeh, Chloe E. Roche, Massimo Chiaradia, Alicia M. Cruz‐Uribe, Alan S. Collins, Andreas Karlsson, Anusha Shantha Kumara   +38 more
wiley   +1 more source

Optimization of approximate integrals of rapidly oscillating functions in the Hilbert space

Results in Applied Mathematics
In this work, we construct an optimal quadrature formula in the sense of Sard based on a functional approach for numerical calculation of integrals of rapidly oscillating functions. To solve this problem, we will use Sobolev’s method.To do this, we first
Abdullo Hayotov, Samandar Babaev, Abdimumin Kurbonnazarov   +2 more
doaj   +1 more source

Specification Tests for Jump‐Diffusion Models Based on the Characteristic Function

International Statistical Review, EarlyView.
Summary Goodness‐of‐fit tests are suggested for several popular jump‐diffusion processes. The suggested test statistics utilise the marginal characteristic function of the model and its L2‐type discrepancy from an empirical counterpart. Model parameters are estimated either by minimising the aforementioned L2‐type discrepancy or by maximum likelihood ...
Gerrit Lodewicus Grobler, Denis Belomestny, Simos George Meintanis, Emanuele Taufer   +3 more
wiley   +1 more source

The Evolution of Interest‐Rate Models: From the Yield Curve to the Swaption Cube

Journal of Economic Surveys, EarlyView.
ABSTRACT Interest‐rate modelling is often taught as a catalogue of competing stochastic equations, obscuring why models were created and why modern sell‐side desks use several simultaneously. This survey reorganises the field around five layers of a pricing architecture: curve construction; arbitrage‐free dynamics; volatility‐smile representation ...
Xuan Feng, Salman Huseynov, Diomides Mavroyiannis   +2 more
wiley   +1 more source