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zbMATH Open
Article . 2016
Data sources: zbMATH Open
SIAM Journal on Numerical Analysis
Article . 2016 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2015
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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A-Stable Time Discretizations Preserve Maximal Parabolic Regularity

A-stable time discretizations preserve maximal parabolic regularity
Authors: Kovács, B; Li, B; Lubich, C;

A-Stable Time Discretizations Preserve Maximal Parabolic Regularity

Abstract

It is shown that for a parabolic problem with maximal $L^p$-regularity (for $1

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Keywords

Method of lines for initial value and initial-boundary value problems involving PDEs, implicit Euler method, Runge-Kutta methods, multistep methods, Parabolic equations, maximal regularity, semidiscretization, nonlinear parabolic equations, Numerical Analysis (math.NA), stability, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, backward difference formula, Crank-Nicolson method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Nonlinear parabolic equations, Maximal regularity, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, A-stability, Runge–Kutta methods, Multistep methods

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
40
Top 10%
Top 10%
Top 10%
Green