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math.NA2016
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations
Georgios Akrivis, Buyang Li, Christian Lubich
We analyze fully implicit and linearly implicit backward difference formula (BDF) methods for quasilinear parabolic equations, without making any assumptions on the growth or decay…
math.NA2016★ 2 cited
Maximum norm analysis of implicit-explicit backward difference formulas for nonlinear parabolic equations
Georgios Akrivis, Buyang Li
We establish optimal order a priori error estimates for implicit-explicit BDF methods for abstract semilinear parabolic equations with time-dependent operators in a complex Banach…