Results 31 to 40 of about 3,685,749 (356)
U-NO: U-shaped Neural Operators [PDF]
Trans. Mach. Learn. Res., 2022 Neural operators generalize classical neural networks to maps between infinite-dimensional spaces, e.g., function spaces. Prior works on neural operators proposed a series of novel methods to learn such maps and demonstrated unprecedented success in ...
Md Ashiqur Rahman +2 more
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Computation of Pseudo-Differential Operators [PDF]
SIAM Journal on Scientific Computing, 1996 Summary: A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the fast Fourier transform. The idea is motivated by the characterization of the pseudo-differential operator algebra.
Gang Bao, William W. Symes
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WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS [PDF]
, 2013 We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞.
Ascanelli, Alessia, Boiti, Chiara
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Hankel operators that commute with second order differential operators. [PDF]
, 2007 Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with kernel $\phi (x+y)$ and that $Lf=-(d/dx)(a(x)df/dx)+b(x)f(x) with $a(0)=0$.
Gordon Blower, Blower, Gordon
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ON DIFFERENTIAL IDEALS OF DIFFERENTIAL RINGS [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 In this paper we introduce two operators denoted by and of a differential ring constructed from a subset of a differential ring. We shall also discuss the relationship between these operators and the differential ideals in differential rings, and Keigher
Yaseen A.W. Alhiti
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Differential operators on the free algebras [PDF]
Selecta Mathematica, 2011 25 ...
Iyer, Uma N., McCune, Timothy C.
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The obstacle problem for nonlinear integro-differential operators [PDF]
Calculus of Variations and Partial Differential Equations, 2016 We investigate the obstacle problem for a class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian operator with measurable coefficients.
Janne Korvenpää +2 more
semanticscholar +1 more source
Discrete Differential Operators for Computer Graphics [PDF]
, 2004 This thesis presents a family of discrete differential operators. Since these operators are derived taking into account the continuous notions of differential geometry, they possess many similar properties.
Meyer, Mark
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Some Families of Differential Equations Associated with Multivariate Hermite Polynomials
Fractal and Fractional, 2023 In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of differential equations, including differential, integro–differential, and partial differential ...
Badr Saad T. Alkahtani +2 more
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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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