Reference health
Stability and error of the variable two-step BDF for semilinear parabolic problems
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
resolves10.1007/BF02510406
A second order backward difference method with variable steps for a parabolic problem
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On the discretization in time of semilinear parabolic equations with nonsmooth initial data
resolves10.1515/IJNSNS.2004.5.3.199
Stability and Convergence of the Two-step BDF for the Incompressible Navier-Stokes Problem
resolves10.1051/m2an/1993270100351
The discontinuous Galerkin method for semilinear parabolic problems
resolves10.1090/S0025-5718-01-01330-8
Backward Euler discretization of fully nonlinear parabolic problems
resolves10.1093/imanum/15.4.555
Linearly implicit time discretization of non-linear parabolic equations
resolves10.1016/S0168-9274(96)00038-4
Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: nonsmooth-data error estimates and applications to long-time behaviour
resolves10.1016/0022-0396(82)90075-4
Behaviour at time t = 0 of the solutions of semi-linear evolution equations
resolves10.1093/imanum/20.2.167
Non-smooth data error estimates for linearly implicit Runge-Kutta methods
resolves10.1016/0168-9274(93)90067-2
Stability of linear multistep methods for sectorial operators in Banach spaces
The 6 references without a DOI — listed, not checked
no DOI — not checkedR. D. Grigorieff,Time discretization of semigroups by the variable two-step BDF method, in Numerical treatment of differential equations, Sel. Papers NUMDIFF-5, Halle, 1989, B. G. Teubner, Leipzig, 1991, pp. 204–216.
no DOI — not checkedR. D. Grigorieff,On the variable grid two-step BDF method for parabolic equations, Preprint 426, Fachber. Mathematik, Techn. Univ. Berlin, 1995.
no DOI — not checkedJ.-L. Lions,Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod Gauthier-Villars, Paris, 1969.
no DOI — not checkedM. Slodička,Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data, Comment. Math. Univ. Carol.,32 (1991) 4, 703–713.
no DOI — not checkedM. Slodička,Semigroup formulation of Rothe's method: application to parabolic problems, Comment. Math. Univ. Carol.,33 (1992) 2, 245–260.
no DOI — not checkedE. Zeidler,Nonlinear Functional Analysis and its Applications I, Springer, New York, 1992.
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