… localization of R must be a valuation ring. In this paper we shall deal with valuation domains
and solve several open problems. For R a valuation domain, let R denote the completion of …

… domain decomposition methods for more general problems, including convection-diffusion
problems (Section 9), parabolic problems … Thus, if the value UB of the solution u on B is known…

… arising from a finite-element discretization of a linear, elliptic, self-adjoint boundary-value
problem on a domain n. Throughout this paper, assume that the stiffness matrix A is an m x my …

… a domain decomposition method for general elliptic problems, accomplished by generating
only a few interfacial values inside the domain, Ω, in … , internal to the domain; thus continuous …

… domains where boundary-value elliptic problems are formulated. This allows for a domain
decomposition of the domain. A … to split the original problem into fully decoupled subproblems. …

… to develop and analyze a domain decomposition procedure for optimal final value control …
Next, we reinterpret the domain decomposition problem as a problem of exact controllability. …

… valuation as a cost function, denoted by ci. The multiattribute allocation problem (MAP) [19]
is the welfare optimization problem … tree and a non-trivial domain we can construct a set Ψ as …

… ” problem, which arises due to partial observability. We address … problems by training
individual agents with a novel value … domains, and experimentally evaluate the introduced value…

… a new barycentric spectral domain decomposition methods al… problems under a class of
infinite activity Lévy models. The method is based on barycentric spectral domain decomposition …

… ’s Theorem for a valuation domain R provided … valuation domains may be found there; in
particular we shall reserve the notation P for the unique maximal ideal of the valuation domain R…