Results 71 to 80 of about 20,051 (307)
we present a first supercloseness analysis for higher order FEM/LDG coupled method for solving singularly perturbed convection-diffusion problem. Based on piecewise polynomial approximations of degree k (k≥1), a supercloseness property of k+1/2 in DG ...
Shenglan Xie, Huonian Tu, Peng Zhu
doaj +1 more source
Finite-dimensional approximations of diffusion measures in a Hilbert space
Для перехідних ймовірностей дифузійних процесів у гільбертовому просторі побудовано скінченновимірні апроксимації та знайдено достатні умови еквівалентності таких мір при збуренні дифузійного оператора.For transition probabilities of diffusion processes ...
Бондаренко, В.Г.
core +2 more sources
Fast iterative solvers for PDE-constrained optimization problems
In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
core +1 more source
Multidimensional Profiling of MRI‐Negative Temporal Lobe Epilepsy Uncovers Distinct Phenotypes
ABSTRACT Objective Although hippocampal sclerosis (TLE‐HS) represents the most frequent cause of temporal lobe epilepsy (TLE), up to 30% of patients show no lesion on visual MRI inspection (TLE‐MRIneg). These cases pose diagnostic and therapeutic challenges and are underrepresented in surgical series.
Alice Ballerini +28 more
wiley +1 more source
Difference approximations of "reaction - diffusion" equation on a segment
The system of phase differences for a chain of diffuse weakly coupled oscillators on a stable integral manifold is constructed and analysed. It is shown by means of numerical methods that as the number of oscillators in the chain increases, the Lyapunov ...
S. D. Glyzin
doaj
This paper proposes a weak Galerkin (WG) finite element method for solving time dependent drift-diffusion problems in one dimension. This drift-diffusion model involves a Poisson equation for the electrostatic potential coupled to a nonlinear convection ...
Zhu Zi-Mo, Li Hong-Liang, ZHANG Shi-Quan
doaj
Parameter estimation of a bivariate diffusion process : the Heston model
Includes abstract.Includes bibliographical references (leaves 27-29).The main objective of the research is to estimate the parameters on the Heston (1993) model, which models the movement of asset prices assuming that the asset price volatility is ...
Nomoyi, Siyabulela
core
ABSTRACT Objectives Retrograde trans‐synaptic degeneration (rTSD) from posterior visual pathway lesions in multiple sclerosis (MS) is characterized by hemi‐macular ganglion cell‐inner plexiform layer (GCIPL) thinning and contralateral visual field loss.
Abdul Jaber Tayem +17 more
wiley +1 more source
CONVERGENCE OF MARKOV CHAIN APPROXIMATIONS TO STOCHASTIC REACTION DIFFUSION EQUATIONS [PDF]
In the context of simulating the transport of a chemical or bacterial contaminant through a moving sheet of water, we extend a well established method of approximating reaction-diffusion equations with Markov chains by allowing convection, certain ...
Michael A. Kouritzin, Hongwei Long
core
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang +8 more
wiley +1 more source

