J. The sharp pointwise-in-time error estimate is given for the fully discrete ADI scheme, and the final error bound is alpha(1)-robust (i.e. the error bound does not blow up when alpha(1) -> 1(-)), where al is the highest fractional derivative order in the multi-term time ...
In this paper, we consider sharp pointwise-in-time error esti-mate of L1 scheme in time for solving the following nonlinear subdif f usion equations∂ αt u − ∆u = f(u),x ∈ Ω × (0,T] (1.1)with the initial and boundary conditionsu(x,0) = u 0 (x), x ∈ Ω,u...
. this is a natural constraint since it models a volumetric restriction, which represents a limit to the total amount of control acting at any time t . this technological constraint is an alternative to pointwise or to energy constraints which have been considered previously in the literature. mo...
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...
PM(2.5) Characterization for Time Series Studies: Pointwise Uncertainty Estimation and Bulk Speciation Methods Applied in Denver. S Dutton,J Schauer,S Vedal,... - 《Atmospheric Environment》 被引量: 0发表: 2009年 Source Apportionment Using Positive Matrix Factorization on Daily Measurements of ...
The velocity tracking problem for Navier–Stokes equations with pointwise-integral control constraints in time-space View further author informationchrysafinos@math.ntua.grKonstantinos ChrysafinosView further author informationEduardo CasasView further author informationchrysafinos@math.ntua.grKonstantinos Chrysa...
pointwisein- time error estimatemaximal regularityIn this work we present numerical analysis for a distributed optimal control problem, with box constraint on the control, governed by a subdiffusion equation that involves a fractional derivative of order $\\alpha \\in (0,1)$ in ...
Pointwise-in-time α-robust error estimate of the ADI difference scheme for three-dimensional fractional subdiffusion equations with variable coeffcientsdoi:10.3934/cam.2024003CAPUTO fractional derivativesTRANSPORT equationEQUATIONSIn this paper, a fully-discrete alternating direction implicit (ADI)...
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 ...
(DFGI).After that,we obtain the pointwise-in-time error estimate of the widely used L1 scheme for nonlinear subdiffusion equations.The present results fill the gap on some interesting convergence results of L1 scheme onσ∈(0,α)∪(α,1)∪(1,2].Numerical experiments are provided to ...