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of 18
pro vyhledávání: '"David C Barnes"'
Publikováno v:
Canadian Journal of Gastroenterology, Vol 20, Iss 8, Pp 521-526 (2006)
BACKGROUND: The Cockcroft-Gault formula (CGF) is used to estimate the glomerular filtration rate (GFR) based on serum creatinine (Cr) levels, age and sex. A new formula developed by the Modification of Diet in Renal Disease (MDRD) Study Group, based
Externí odkaz:
https://doaj.org/article/b25a077907224cf9898f6ec843c121d3
Autor:
Roger Knobel, David C. Barnes
Publikováno v:
SIAM Journal on Mathematical Analysis. 26:616-632
This work is concerned with the inverse eigenvalue problem for the partial differential equation $\nabla ^2 u + (\lambda - q(x,y))u = 0$ . We study the problem of reconstructing the coefficient function $q(x,y)$ (or at least a numerical approximation
Autor:
David C. Barnes
Publikováno v:
SIAM Journal on Mathematical Analysis. 22:732-753
This work is concerned with the inverse eigenvalue problem for ordinary differential equations such as $y'' + (\lambda - q(x))y = 0$ and with some higher-order generalizations. A classical, well-known inverse problem is to reconstruct the coefficient
Autor:
David C. Barnes
Publikováno v:
Quarterly of Applied Mathematics. 46:605-609
We reconsider the problem of determining the shape of the strongest column having a given length l l and volume V V . Previous results [13,7] have given optimal shapes for which the cross section vanishes at certain points. Although these results are
Autor:
David C. Barnes
Publikováno v:
SIAM Journal on Mathematical Analysis. 16:341-357
Let $\lambda _n $ denote the nth eigenvalue of the equation $[R(x)y']' + [\lambda P(x) + Q(x)]y = 0$ subject to self-adjoins boundary conditions. Many applications of this equation involve calculating extremal values of $\lambda _n $ when the coeffic
Autor:
David C. Barnes
Publikováno v:
SIAM Journal on Mathematical Analysis. 19:1151-1161
This paper is actually the fourth in a series of works [SIAM J. Math. Anal., 16(1985), pp. 341-357, 1284-1294; 18(1987), pp. 933–940] whose overall purpose is to develop some variational and approximation theory for eigenvalue functionals. These fu
Autor:
David C. Barnes, R. P. Gilbert
Publikováno v:
Applicable Analysis. 13:237-248
We are concerned with eigenvalue problems of the form subject to boundary conditions in the first case and in the second case. The eigenvalues of these systems depend on the coefficients and we denote them accordingly and . We introduce some new kind
Autor:
David C. Barnes
Publikováno v:
SIAM Journal on Mathematical Analysis. 16:1284-1294
Autor:
David C. Barnes
Publikováno v:
Canadian Journal of Mathematics. 36:405-420
Given vectors and (or functions f(x) and g(x)) we define the Hölder Quotient Hpq by1or in case of functions by2Here ‖·‖p and ‖·‖q are the usual Lp and Lq norms. We assume throughout thatIf p and q are both greater than one then they are po
Autor:
David C. Barnes
Publikováno v:
SIAM Journal on Mathematical Analysis. 18:933-940
We consider some random eigenvalue problems of the form $L(\cdot ) = \lambda M(.)$, where $L(\cdot )$ and $M(\cdot )$ may be ordinary or partial differential operators which depend on a (perhaps mufti-dimensional) random variable $\omega $. We genera