Results 41 to 50 of about 54,965 (200)
Jacobian Code Generated by Source Transformation and Vertex Elimination can be as Efficient as Hand-Coding [PDF]
, 2004 This article presents the first extended set of results from ELIAD, a source- transformation implementation of the vertex-elimination Automatic Differentiation approach to calculating the Jacobians of functions defined by Fortran code (Griewank and ...
Reid, John K. +7 more
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THE DIRICHLET PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER WITH THE OPERATOR OF DISTRIBUTED DIFFERENTIATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 In this paper, we study a linear ordinary differential equation of the second order with operator of continuously distributed differentiation, and for him we study the two-point boundary value problem by the Green’s function method. A special function is
B. I. Efendiev
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Splines and fractional differential operators [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2020 Several classes of classical cardinal B-splines can be obtained as solutions of operator equations of the form [Formula: see text] where [Formula: see text] is a linear differential operator of integral order. In this paper, we consider classes of generalized B-splines consisting of cardinal polynomial B-splines of complex and hypercomplex orders and ...
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Approximation of differentiation operator in the space L2 on semiaxis [PDF]
, 2013 We establish an upper bound for the error of the best approximation of the first order differentiation operator by linear bounded operators on the set of twice differentiable functions in the space L2 on the half-line.
Arestov, V. V., Filatova, M. A.
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Composition Operators on Classical Spaces of Analytic Functions [PDF]
Sahand Communications in Mathematical AnalysisWe shall provide a brief account on new achievements in the study of composition and composition-differentiation operators acting on classical spaces of analytic functions on the unit disk, as well as on the polydisk and the unit ball.
Ali Abkar
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Karpatsʹkì Matematičnì Publìkacìï, 2013 We investigate the conditions of the $n$-similarity of the $n^{\rm th}$ degree of the differentiation operator to an operator which is left inverse to the $n^{\rm th}$ degree of the integration operator in the spaces of analytic functions.
T. I. Zvozdetskyi
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On Inequalities for Differential Operators [PDF]
Proceedings of the American Mathematical Society, 1958 In this paper we study the following problem: Given that certain functionals of u u and its derivatives belong to given L ...
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Evolution pseudodifferential equations with analytic symbols in spaces of $S$ type
Karpatsʹkì Matematičnì Publìkacìï, 2021 A nonlocal multipoint by time problem for an evolution equation with a pseudodifferential operator is studied. This operator is treated as an infinite order differentiation operator in generalized spaces of $S$ type. We consider the case when the initial
V.V. Horodets'kyi, O.V. Martynyuk
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A Characterization of Differential Operators [PDF]
Proceedings of the American Mathematical Society, 1967 In this paper we shall give an algebraic characterization of differential-difference operators, i.e. a characterization of those continuous linear operators from D(Rn) into L2(Rn) which can be constructed by combining partial differential operators, multiplications by locally L functions, and translation operators.
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On the approximation theorem of Wong-Zakai type for the Lasota operator [PDF]
Opuscula Mathematica, 2010 We consider in this paper a stochastic evolution equation with Professor A. Lasota's operator as the infinitesimal generator of a strongly continuous semigroup of transformations and with Hammerstein operator connected with a noise being the Wiener ...
Antoni Leon Dawidowicz +1 more
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