Results 1 to 10 of about 3,726,319 (376)
Effective descent for differential operators [PDF]
Journal of Algebra, 2010 A theorem of N. Katz \cite{Ka} p.45, states that an irreducible differential operator $L$ over a suitable differential field $k$, which has an isotypical decomposition over the algebraic closure of $k$, is a tensor product $L=M\otimes_k N$ of an absolutely irreducible operator $M$ over $k$ and an irreducible operator $N$ over $k$ having a finite ...
Compoint, Elie +2 more
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The differential on operator S(Γ)
Mathematical Biosciences and Engineering, 2023 Consider a simple graph $ \Gamma = (V(\Gamma), E(\Gamma)) $ with $ n $ vertices and $ m $ edges. Let $ P $ be a subset of $ V(\Gamma) $ and $ B(P) $ the set of neighbors of $ P $ in $ V(\Gamma)\backslash P $.
Jair Castro +3 more
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A novel bat algorithm based on differential operator and Lévy flights trajectory. [PDF]
Comput Intell Neurosci, 2013 Aiming at the phenomenon of slow convergence rate and low accuracy of bat algorithm, a novel bat algorithm based on differential operator and Lévy flights trajectory is proposed.
Xie J, Zhou Y, Chen H.
europepmc +2 more sources
The nonlocal problem for the differential-operator equation of the even order with the involution
Karpatsʹkì Matematičnì Publìkacìï, 2018 In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij +3 more
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Learning the solution operator of parametric partial differential equations with physics-informed DeepONets [PDF]
Science Advances, 2021 Enabling the rapid emulation of parametric differential equations with physics-informed deep operator networks.
Sifan Wang, Hanwen Wang, P. Perdikaris
semanticscholar +1 more source
Physics-Informed Neural Operator for Learning Partial Differential Equations [PDF]
ACM / IMS Journal of Data Science, 2021 In this paper, we propose physics-informed neural operators (PINO) that combine training data and physics constraints to learn the solution operator of a given family of parametric Partial Differential Equations (PDE).
Zong-Yi Li +7 more
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Transformer for Partial Differential Equations' Operator Learning [PDF]
Trans. Mach. Learn. Res., 2022 Data-driven learning of partial differential equations' solution operators has recently emerged as a promising paradigm for approximating the underlying solutions.
Zijie Li, Kazem Meidani, A. Farimani
semanticscholar +1 more source
Parabolic opers and differential operators
Journal of Geometry and Physics, 2023 Parabolic SL(r,C)-opers were defined and investigated in [BDP] in the set-up of vector bundles on curves with a parabolic structure over a divisor. Here we introduce and study holomorphic differential operators between parabolic vector bundles over curves.
Biswas, Indranil +4 more
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Mathematical methods in the applied sciences, 2021 In this research study, fuzzy fractional differential equations in presence of the Atangana–Baleanu–Caputo differential operators are analytically and numerically treated using extended reproducing kernel Hilbert space technique.
Omar Abu Arqub +3 more
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Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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