Results 31 to 40 of about 2,094 (162)
Bayesian Inference for Joint Estimation Models Using Copulas to Handle Endogenous Regressors
ABSTRACT This study proposes a Bayesian approach for finite‐sample inference of the Gaussian copula endogeneity correction. Extant studies use frequentist inference, build on a priori computed estimates of marginal distributions of explanatory variables, and use bootstrapping to obtain standard errors. The proposed Bayesian approach facilitates precise
Rouven E. Haschka
wiley +1 more source
Rational zeta series for $\zeta(2n)$ and $\zeta(2n+1)$ [PDF]
I will begin by using the cotangent function to find rational zeta series with $\zeta(2n)$ in terms of $\zeta(2k+1)$ and $\beta(2k)$, the Dirichlet beta function.
Orr, Derek
core
We present an universality theorem for the periodic zeta-function which is defined by a Dirichlet series with periodic coefficients satisfying a certain dependence condition.
Д. Шяучюнас ; Шяуляйский университет, Литва +3 more
core +1 more source
ABSTRACT We present a set of exact and approximate analytical solutions describing the evolution of a fluid drop under the action of a central force field, in both two and three dimensions. The fluid is assumed to be Newtonian and incompressible with a free surface and no solid boundaries The absence of solid walls eliminates boundary‐layer effects ...
Matteo Antuono
wiley +1 more source
Stable factorization of the Calderón problem via the Born approximation
Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
wiley +1 more source
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
wiley +1 more source
Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle
ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
wiley +1 more source
How Does Heterogeneity Control Strain Localization Patterns in High‐Porosity Rocks?
Abstract We aim to explore how heterogeneous porosity and grain size contribute to strain localization patterns in highly porous rocks based on phase‐field simulations. The strain localization patterns, including shear bands, dilatation bands, and compaction bands, are commonly observed in geological field studies and laboratory experiments.
Yunteng Wang +4 more
wiley +1 more source
Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun +3 more
wiley +1 more source
Tilings colourful - only even more so [PDF]
We consider colour symmetries for planar tilings of certain n-fold rotational symmetry. The colourings are such that one colour occupies a submodule of n-fold symmetry, while the other colours encode the cosets.
Scheffer, Max +2 more
core +1 more source

