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On Discrete Solutions for Elliptic Pseudo-Differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev-Slobodetskii spaces.
O.A. Tarasova +2 more
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On a digital approximation for pseudo‐differential operators [PDF]
PAMM, 2017 AbstractWe introduce a concept of a discrete pseudo‐differential operator using general ideas of the theory and would like to show correlations between continuous and discrete cases. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Vasilyev, A., Vasilyev, V.
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Pseudo-differential operators and equations in a discrete half-space
Mathematical Modelling and Analysis, 2018 We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space.
Alexander V. Vasilyev +1 more
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Special solutions to a compact equation for deep-water gravity waves [PDF]
, 2012 Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential flow of an incompressible, infinitely deep fluid with a free surface ...
Boyd +4 more
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To the theory of discrete boundary value problems
4 open, 2019 We consider discrete analogues of pseudo-differential operators and related discrete equations and boundary value problems. Existence and uniqueness results for special elliptic discrete boundary value problem and comparison for discrete and continuous ...
Tarasova Oksana A., Vasilyev Vladimir B.
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The Fourier U(2) Group and Separation of Discrete Variables [PDF]
, 2011 The linear canonical transformations of geometric optics on two-dimensional screens form the group $Sp(4,R)$, whose maximal compact subgroup is the Fourier group $U(2)_F$; this includes isotropic and anisotropic Fourier transforms, screen rotations and ...
Vicent, Luis Edgar, Wolf, Kurt Bernardo
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Non-convex regularization in remote sensing [PDF]
, 2016 In this paper, we study the effect of different regularizers and their implications in high dimensional image classification and sparse linear unmixing. Although kernelization or sparse methods are globally accepted solutions for processing data in high ...
Barlaud, Michel +2 more
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Discrete spherical means of directional derivatives and Veronese maps [PDF]
, 2011 We describe and study geometric properties of discrete circular and spherical means of directional derivatives of functions, as well as discrete approximations of higher order differential operators.
Alexander Belyaev +36 more
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Diffusive approximation of a time-fractional Burger's equation in nonlinear acoustics [PDF]
, 2016 A fractional time derivative is introduced into the Burger's equation to model losses of nonlinear waves. This term amounts to a time convolution product, which greatly penalizes the numerical modeling.
Lombard, Bruno, Matignon, Denis
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A spectral resolution for digital pseudo-differential operators
The Journal of Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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