For time-fractional parabolic equations with a Caputo time derivative of order \\alpha\\in(0,1) \\alpha\\in(0,1) , we give pointwise-in-time a posteriori error bounds in the spatial L_2 L_2 and L_\\infty L_\\infty norms. Hence, an adaptive mesh construction algorithm is applied ...
arXiv:2101.04554v1 [math.NA] 12 Jan 2021SHARP POINTWISE-IN-TIME ERROR ESTIMATE OF L1 SCHEMEFOR NONLINEAR SUBDIFFUSION EQUATIONSDONGFANG LI ∗ , HONGYU QIN † , AND JIWEI ZHANG ‡Abstract. An essential feature of the subdif f usion equations with the α-order time fractionalderivative is ...
The article deals with the time-dependent Oseen system in a 3D exterior domain. It is shown that the velocity part of a weak solution to that system decays as (vertical bar x vertical bar . (1 + vertical bar x vertical bar - x(1)))(-1), and its spatial gradient as (vertical bar...
In this paper, we propose a new kernel-based co-occurrence measure that can be applied to sparse linguistic expressions (e.g., sentences) with a very short learning time, as an alternative to pointwise mutual information (PMI). As well as deriving PMI from mutual information, we derive this...
Popov V.M., Pointwise degeneracy of linear time-in- variant delay-differential equations, "Journal of Differ- ential Equations", Vol. 11, No. 3, 1972, 541-561, DOI: 10.1016/0022-0396(72)90066-6.Popov, V.M. (1972). Pointwise degeneracy of linear time-invariant delay-differential ...
PURPOSE: To assess airway visibility in infants using pointwise encoding time reduction with radial acquisition (PETRA). MATERIALS AND METHODS: PETRA was obtained in 37 infants (gestational age: 23-43 weeks; postconceptional age: 34-46 weeks) using 3T magnetic resonance imaging (MRI) without respi...
The GlyphClient constructor has an optional argument of a port number. Most of the time this can be left unspecified, which means it will use the value of the PWI_GLYPH_SERVER_PORT, or 2807 if the environment variable is not defined. When running a script from within the Pointwise GUI, ...
systems/ structurally damped systems pointwise time-delayed feedback control multi-dimensional damped distributed parameter systems pointwise time-delayed displacement delayed control action feedback gain control closed-loop modal system/ C1340J Distributed parameter control systems C1320 Stability in control ...
The first part of this paper surveys controllability and degeneracy results for linear time-invariant delay systems and discusses their relationship to minimal time, delay feedback control. In the second part a now construction for augmented delay feedback which achieves function space null ...
Definitions and necessary and sufficient conditions for the pointwise completeness of P -cone system are given. The considerations are illustrated by numerical examples computing in MATLAB.关键词: cone system discrete-time system system with delays linear system pointwise completeness positive system ...