Reference health
A second order backward difference method with variable steps for a parabolic problem
16/16 checkable references clean · checked 2026-08-11
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
6 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 16 checked references that resolve
resolves10.1090/S0025-5718-1989-0962207-8
Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data
resolves10.1137/S0036142995283412
Stability of Time-Stepping Methods for Abstract Time-Dependent Parabolic Problems
resolves10.1090/S0025-5718-1981-0628699-1
Some convergence estimates for semidiscrete type schemes for time-dependent nonselfadjoint parabolic equations
resolves10.1017/S0334270000007268
Numerical solution of an evolution equation with a positive-type memory term
resolves10.1090/S0025-5718-1994-1201070-9
On the stability of variable stepsize rational approximations of holomorphic semigroups
resolves10.1090/S0025-5718-1995-1277770-2
Stability of rational multistep approximations of holomorphic semigroups
resolves10.1016/0168-9274(93)90067-2
Stability of linear multistep methods for sectorial operators in Banach spaces
resolves10.2307/2005556
Finite Element Multistep Discretizations of Parabolic Boundary Value Problems
The 6 references without a DOI — listed, not checked
no DOI — not checkedJ. Becker,Studies on the Two-Step Backward Difference Method for Parabolic Problems, PhD thesis, Department of Mathematics, Chalmers University of Technology and Göteborg University, 1995.
no DOI — not checkedP. G. Ciarlet,The Finite Element Method for Elliptic Problems, North-Holland, New York, 1978.
no DOI — not checkedM. Crouzeiz,On multistep approximation of semigroups in Banach spaces, J. Comput. Appl. Math. 20 (1987), pp. 25–35.
no DOI — not checkedM. Crouzeix and A. L. Mignot,Analyse Numérique des Équations Différentielles, Masson, 1984.
no DOI — not checkedM. Crouzeix and P. A. Raviart,Approximation d'équations d'évolution linéaires par des mèthodes multipas, in Étude numérique des grands systèmes (Proc. Sympos., Novosibirsk, 1976), Méthodes Math. de l'Informatique, 7, Dunod, Paris, 1978, pp. 133–150.
no DOI — not checkedR. D. Grigorieff,Time discretization of semigroups by the variable two step BDF method, Numerical Treatment of Differential Equations, K. Strehmel, ed., Teubner, Stuttgart, 1991.
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