Latent Gaussian models are flexible models that are applied in several statistical applications. When posterior marginals or full conditional distributions in hierarchical Bayesian inference from these models are not available in closed form, Markov chain Monte Carlo methods are implemented. The component dependence of the latent field usually causes increase in computational time and divergenc...

First Riccati equation with matrix variable coefficients, arising in optimal and robust control approach, is considered. An analytical approximation of the solution of nonlinear differential Riccati equation is investigated using the Adomian decomposition method. An application in optimal control is presented. The solution in different order of approximations and different methods of approximat...

Abstract We study approximation classes for adaptive time-stepping finite element methods time-dependent partial differential equations. measure the error in $L_2([0,T)\times \varOmega )$ and consider with discontinuous elements time continuous space, of any degree. As a by-product we define anisotropic Besov spaces Banach-space-valued functions on an interval derive some embeddings, as well Ja...

In this article, we present viscosity approximation methods for finding a common point of the set solutions variational inequality problem and fixed points multi-valued quasinonexpansive mapping in Banach space. We also discuss some examples to illustrate facts study convergence behaviour iterative schemes presented herein, numerically.