In this paper we study the structural properties of matrices coming from high-precision Finite Dierence (FD) formulae, when discretizing elliptic (or semielliptic) differential operators vY u of the form Strong relationships with Toeplitz structures and Linear Positive Operators (LPO) are highlight
Finite-Difference Approach for the High-Precision Analysis of Rotating-Frame Diffusion Images
β Scribed by Klaus Woelk; Bernd L.J Zwank; Peter Trautner; Edmund Lehnhof; Joachim Bargon; Robert J Klingler; Rex E Gerald II; Jerome W Rathke
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 370 KB
- Volume
- 145
- Category
- Article
- ISSN
- 1090-7807
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β¦ Synopsis
A finite-difference approach has been developed for precisely determining diffusion coefficient and T(1) relaxation time in fluid samples analyzed by magnetization-grating rotating-frame imaging (MAGROFI) with either a surface coil or a toroid cavity detector (TCD). This approach avoids shortcomings of phenomenologically based approximations, such as neglect of sample geometries with singularities at the confines of the sample volume, and accounts for the diffusive edge enhancement observed in fluid imaging. Error limits are discussed. The new method has been applied to the determination of the self-diffusion coefficient for MAGROFI experiments using TCDs filled with acetone. Copyright 2000 Academic Press.
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