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10 papers · 1 filter
Scattering theory for a class of non-selfadjoint extensions of symmetric operators
Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva
This work deals with the functional model for a class of extensions of symmetric operators and its applications to the theory of wave scattering. In terms of Boris Pavlov's spectra…
Two-level schemes for the advection equation
Petr N. Vabishchevich
The advection equation is the basis for mathematical models of continuum mechanics. In the approximate solution of nonstationary problems it is necessary to inherit main properties…
Regularity and Sensitivity for McKean-Vlasov SPDEs
Vassili Kolokoltsov, Marianna Troeva
In the first part of the paper we develop the sensitivity analysis for the nonlinear McKean-Vlasov diffusions stressing precise estimates of growth of solutions and their derivativ…
Non-local Multi-continua Upscaling for Flows in Heterogeneous Fractured Media
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +2
In this paper, we propose a rigorous and accurate non-local (in the oversampled region) upscaling framework based on some recently developed multiscale methods [10]. Our proposed m…
Fast Online Generalized Multiscale Finite Element Method using Constraint Energy Minimization
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
Local multiscale methods often construct multiscale basis functions in the offline stage without taking into account input parameters, such as source terms, boundary conditions, an…
Two-component domain decomposition scheme with overlapping subdomains for parabolic equations
Petr N. Vabishchevich
An iteration-free method of domain decomposition is considered for approximate solving a boundary value problem for a second-order parabolic equation. A standard approach to constr…