Results 21 to 30 of about 266,345 (367)
Guiding Waves Along an Infinitesimal Line between Impedance Surfaces. [PDF]
Physical Review Letters, 2017 We present a new electromagnetic mode that forms at the interface between two planar surfaces laid side by side in free space, effectively guiding energy along an infinitesimal, one-dimensional line.
D. Bisharat, D. Sievenpiper
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A Class of Multirate Infinitesimal GARK Methods [PDF]
SIAM Journal on Numerical Analysis, 2018 Differential equations arising in many practical applications are characterized by multiple time scales. Multirate time integration seeks to solve them efficiently by discretizing each scale with a different, appropriate time step, while ensuring the ...
Adrian Sandu
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Infinitesimal variations of submanifolds [PDF]
Ensaios Matemáticos, 2020 This paper deals with the subject of infinitesimal variations of Euclidean submanifolds with arbitrary dimension and codimension. The main goal is to establish a Fundamental theorem for these geometric objects. Similar to the theory of isometric immersions in Euclidean space, we prove that a system of three equations for a certain pair of tensors are ...
Marcos Dajczer, Miguel Ibieta Jimenez
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Direct S₂₁ Calculation Using Infinitesimal Dipole Modeling
IEEE Access, 2023 The infinitesimal dipole modeling (IDM) technique represents the current density of the antenna under test as an array of infinitesimal dipole moments. Using the IDM concept, complicated structures of antennas and scatterers can be replaced with compact ...
Dal-Jae Yun +3 more
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On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales [PDF]
Communications in nonlinear science & numerical simulation, 2018 The necessity to find the global optimum of multiextremal functions arises in many applied problems where finding local solutions is insufficient. One of the desirable properties of global optimization methods is strong homogeneity meaning that a method ...
Y. Sergeyev +2 more
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On the Simulation of a Special Class of Time-Inhomogeneous Diffusion Processes
Mathematics, 2021 General methods to simulate probability density functions and first passage time densities are provided for time-inhomogeneous stochastic diffusion processes obtained via a composition of two Gauss–Markov processes conditioned on the same initial state ...
Virginia Giorno, Amelia G. Nobile
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Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells [PDF]
, 2012 We perform a detailed analysis of first order Sobolev-regular infinitesimal isometries on developable surfaces without affine regions. We prove that given enough regularity of the surface, any first order infinitesimal isometry can be matched to an ...
Marta Lewicka +3 more
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Infinitesimals without logic [PDF]
Russian Journal of Mathematical Physics, 2010 We introduce the ring of Fermat reals, an extension of the real field containing nilpotent infinitesimals. The construction takes inspiration from Smooth Infinitesimal Analysis (SIA), but provides a powerful theory of actual infinitesimals without any need of a background in mathematical logic.
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Deformation theory of holomorphic Cartan geometries, II
Complex Manifolds, 2022 In this continuation of [4], we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed.
Biswas Indranil +2 more
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Weighted infinitesimal unitary bialgebras on rooted forests and weighted cocycles [PDF]
Pacific Journal of Mathematics, 2018 In this paper, we define a new coproduct on the space of decorated planar rooted forests to equip it with a weighted infinitesimal unitary bialgebraic structure.
Yi Zhang +3 more
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