187 research outputs found
Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions
No full textA semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm. Semidiscrete and fully discrete versions of the backward Euler, Crank--Nicolson, and discontinuous Galerkin methods are addressed. For their full discretizations, we employ elliptic reconstructions that are, respectively, piecewise-constant, piecewise-linear, and piecewise-quadratic for in time. We also use certain bounds for the Green's function of the parabolic operator
Logical Terminology in the Epistles to the Hebrews
No full textIt is usually recognized that the author of the Epistle to the Hebrews is presenting an argument for the superiority of Christianity to the religion of the Old Covenant and that he bases this argument on the comparison of the Son of God with the angels and with Moses, on the comparison of the new high priest with the priests of old, and on the comparison of the sanctuary and the sacrifice of the New Covenant with those of the Old. It is furthermore agreed that he uses means of rhetoric to get his point across. Thus Michel says: In the letter to the Hebrews we have before us the first sermon whose author knew and imported into Christianity all the techniques of ancient rhetoric and all its speech forms. However, I have not been able to find a detailed analysis of these rhetorical means and style forms or an investigation of the author\u27s reasoning in detail. This article is intended to show several style forms used by the author and to describe their purpose in the context of the epistle
Leggett, John A. (Death, 1906-10-01)
No full textAddress: 2070 GladstoneAge at death: 6 mo.Pg 122/1906/23/M W S/City/Dr. L. P. Linss/G. H. High/Spring GroveOriginal record filed in drawer labeled 'LAWRENCE-LEHM'
Eby, Wm. A. (Death, 1906-09-20)
No full textAddress: 1346 E. 3rd St.Age at death: 34 yrs.Pg 117/1906/321/M W S/Ind./Dr. L. P. Linss/Busse & Borgmann/WesleyanOriginal record filed in drawer labeled 'DYER-EDWARDS, J'
Younger, Velma May (Death, 1905-11-22)
No full textAddress: 1128 E. Third St.Age at death: 2 yrs.Pg.123/351/1905/F W S/Ohio/Dr. Louis P. Linss/W. A. Watkins/Newtown OhioOriginal record filed in drawer labeled 'WURTZ-YUZZO'
Maximum-norm error analysis of a non-monotone FEM for a singularly perturbed reaction-diffusion problem
No full textLong, Margaret (Death, 1907-12-07)
No full textAddress: 1020 E. 3rd. St.Age at death: 70 yrs.97/Pg.131/1907/F W M/Ohio/Dr. L. P. Linss/W. A. Watkins & Sons/Mt. WashingtonOriginal record filed in drawer labeled 'LOC-LONGO'
A balanced finite-element method for an axisymmetrically loaded thin shell
No full textsummary:We analyse a finite-element discretisation of a differential equation describing an axisymmetrically loaded thin shell. The problem is singularly perturbed when the thickness of the shell becomes small. We prove robust convergence of the method in a balanced norm that captures the layers present in the solution. Numerical results confirm our findings
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