Cauchy Markov random field priors for Bayesian inversion
Sign Up to like & getrecommendations! Published in 2022 at "Statistics and Computing"
DOI: 10.1007/s11222-022-10089-z
Abstract: The use of Cauchy Markov random field priors in statistical inverse problems can potentially lead to posterior distributions which are non-Gaussian, high-dimensional, multimodal and heavy-tailed. In order to use such priors successfully, sophisticated optimization and… read more here.
Keywords: random field; field priors; markov random; cauchy ... See more keywords
Cauchy Kernel of Slice Dirac Operator in Octonions with Complex Spine
Sign Up to like & getrecommendations! Published in 2020 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-019-00977-0
Abstract: Holomorphic theory of one complex variable has a canonical extension to quaternions via the book structure in which the quaternions can be expressed as the union of complex planes through the common real axis. It… read more here.
Keywords: dirac operator; cauchy; slice dirac; operator ... See more keywords
A Cauchy problem for the Cauchy–Riemann operator
Sign Up to like & getrecommendations! Published in 2020 at "Afrika Matematika"
DOI: 10.1007/s13370-020-00810-4
Abstract: We study the Cauchy problem for a nonlinear elliptic equation with data on a piece $${\mathcal {S}}$$ S of the boundary surface $$\partial {\mathcal {X}}$$ ∂ X . By the Cauchy problem is meant any… read more here.
Keywords: cauchy riemann; cauchy problem; cauchy; riemann operator ... See more keywords
DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2018.04.007
Abstract: Abstract In this study, the MHD flow direct and Cauchy problems are solved in a rectangular duct with a perturbed, curved, and slip upper boundary. The aim is to recompute the slipping velocity and the… read more here.
Keywords: duct; mhd; cauchy; perturbed boundary ... See more keywords
Wave propagation from lateral Cauchy data using a boundary element method
Sign Up to like & getrecommendations! Published in 2019 at "Wave Motion"
DOI: 10.1016/j.wavemoti.2019.102385
Abstract: Abstract The wave equation with lateral Cauchy data is considered in three-dimensional annular domains. It is a linear inverse ill-posed problem, where data in the form of the function values and normal derivative is given… read more here.
Keywords: system; cauchy data; cauchy; boundary element ... See more keywords
An iterative method for solving elliptic cauchy problems
Sign Up to like & getrecommendations! Published in 2020 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630560008816982
Abstract: We investigate the Cauchy problem for elliptic operators with C ∞-coefficients at a regular set , which is a classical example of an ill-posed problem. The Cauchy data are given at the subset Г ⊂… read more here.
Keywords: iterative method; method solving; method; elliptic cauchy ... See more keywords
Stochastic consistency and stochastic stability in mean square sense for Cauchy advection problem
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2017.1391237
Abstract: Abstract This work deals with the construction of finite difference solutions of random advection Cauchy type partial differential equation containing uncertainty through the coefficient of the velocity. Under appropriate hypothesis on the velocity random variable,… read more here.
Keywords: difference; mean square; cauchy; finite difference ... See more keywords
Physical objects approaching the Cauchy horizon of a rapidly rotating Kerr black hole
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review D"
DOI: 10.1103/physrevd.98.104024
Abstract: We solve the 2+1-dimensional Teukolsky equation numerically for the Weyl scalars $\psi_0$ and $\psi_4$ along a time-like geodesic approaching the Cauchy horizon of a rapidly rotating perturbed Kerr black hole. We find that both the… read more here.
Keywords: cauchy horizon; horizon rapidly; approaching cauchy; cauchy ... See more keywords
Fractional generalized Cauchy process.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.032119
Abstract: This paper presents a fractional generalized Cauchy process (FGCP) with an additive and a multiplicative Gaussian white noise for describing subordinated anomalous fluctuations. The FGCP displays intermittent dynamics on random time durations, whose analytical representation… read more here.
Keywords: generalized cauchy; cauchy; fractional generalized; cauchy process ... See more keywords
M-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensors
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-1986-x
Abstract: Inspired by symmetric Cauchy tensors, we define fourth-order partially symmetric Cauchy tensors with their generating vectors. In this article, we focus on the necessary and sufficient conditions for the M-positive semi-definiteness and M-positive definiteness of… read more here.
Keywords: order cauchy; cauchy tensors; cauchy; definiteness ... See more keywords
Beyond cauchy and quasi-Cauchy sequences
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DOI: 10.2298/fil1803035c
Abstract: In this paper, we investigate the concepts of downward continuity and upward continuity. A real valued function on a subset E of R, the set of real numbers, is downward continuous if it preserves downward… read more here.
Keywords: continuous functions; cauchy sequences; cauchy quasi; quasi cauchy ... See more keywords