Results 141 to 150 of about 17,220,730 (291)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad   +1 more
wiley   +1 more source

Real‐time cardiac cine MRI: A comparison of a diffusion probabilistic model with alternative state‐of‐the‐art image reconstruction techniques for undersampled spiral acquisitions

open access: yesMagnetic Resonance in Medicine, EarlyView.
Abstract Purpose Electrocardiogram (ECG)‐gated cine imaging in breath‐hold enables high‐quality diagnostics in most patients but can be compromised by arrhythmia and inability to hold breath. Real‐time cardiac MRI offers faster and robust exams without these limitations.
Oliver Schad   +8 more
wiley   +1 more source

gammaSTAR: A framework for the development of dynamic, real‐time capable MR sequences

open access: yesMagnetic Resonance in Medicine, EarlyView.
Abstract Purpose To present the real‐time capability and advanced MR sequence library of the MR sequence development framework gammaSTAR. Methods The presented platform consists of four different components: (1) a frontend for sequence development combined with a Python backend for sequence generation; (2) a Lua backend for the creation of hardware ...
Simon Konstandin   +2 more
wiley   +1 more source

Modeling the effect of in‐plane magnetic field gradients on asymmetric spin‐echo images with echo‐planar imaging readout

open access: yesMagnetic Resonance in Medicine, EarlyView.
Abstract Purpose To describe the impact of macroscopic magnetic field gradients (MFGs) in the phase‐encoding direction on MR images acquired with an asymmetric spin echo (ASE) sequence with echo‐planar imaging (EPI) readout. Methods In EPI, the center of k‐space is read out at a shifted time point in the presence of phase‐encoding direction MFGs.
Philipp Wallimann   +6 more
wiley   +1 more source

Maximal inequalities for bessel processes

open access: yesJournal of Inequalities and Applications, 1998
It is proved that the uniform law of large numbers (over a random parameter set) for the -dimensional ( ) Bessel process started at 0 is valid: for all stopping times for .
Graversen SE, Peškir G
doaj  

Seismic Bearing Capacity of Shallow Foundations in Anisotropic Non‐Homogeneous Soils Under Torsional Waves and Parameter Uncertainty

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT The purpose of the present paper is to investigate the effects of the torsional wave propagation and the soil‐earthquake parameter uncertainties on the seismic bearing capacity of shallow foundations in anisotropic non‐homogeneous media.
Faiçal Bendriss   +2 more
wiley   +1 more source

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