Results 81 to 90 of about 217,218 (245)
On Bending in the As‐Rigid‐As‐Possible Deformation Energy
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
Midpoint Derivative-Based Closed Newton-Cotes Quadrature
A novel family of numerical integration of closed Newton-Cotes quadrature rules is presented which uses the derivative value at the midpoint. It is proved that these kinds of quadrature rules obtain an increase of two orders of precision over the ...
Weijing Zhao, Hongxing Li
doaj +1 more source
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 +2 more
wiley +1 more source
Quadrature formulas for integral equations of kinetics and digital reactimeters
The aim of this work is to derive quadrature formulas for nuclear reactor kinetic equations in the form of Volterra integral equations of the second kind and reactimeter equations in the form of integral convolution, the kernel of which is a decay ...
A.G. Yuferov
doaj +1 more source
Quadrature formula for computed tomography
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
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 +38 more
wiley +1 more source
Specification Tests for Jump‐Diffusion Models Based on the Characteristic Function
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 +3 more
wiley +1 more source
The Evolution of Interest‐Rate Models: From the Yield Curve to the Swaption Cube
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 +2 more
wiley +1 more source
On the composite Bernstein type quadrature formula
Considering a given function \(f\in C[0,1]\), the interval \([0,1]\) is divided in \(m\) equally spaced subintervals \(\left[\tfrac{k-1}{m},\tfrac{k}{m}\right]\), \(k=\overline{1,m}\).
Dan Bărbosu, Dan Miclăuş
doaj +2 more sources
Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates
In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is
Alomari M.W.
doaj +1 more source

