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Numerical Functional Analysis and Optimization Volume 20, 1999 - Issue 3-4
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Original Articles

Stability of the crank-nicolson scheme and maximal regularity for parabolic equations in spaces

Davide Guidetti Dipartimento di Matematica, Piazza di Porta, S. Donate 5, Bologna, 40127, Italy E-mail: [email protected]
&
Sergei Piskarev Science Research Computer Center, Moscow State University, Vorobjevye Gory, Moscow, 119899, Russia
Pages 251-277 | Published online: 15 May 2007

Citations (10)

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Read on this site (3)

Airton Castro & Claudio Cuevas. (2011) Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time. Journal of Difference Equations and Applications 17:3, pages 327-358.
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Claudio Cuevas & Julio César de Souza. (2010) A perturbation theory for the discrete harmonic oscillator equation. Journal of Difference Equations and Applications 16:12, pages 1413-1428.
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Airton Castro, Claudio Cuevas & Carlos Lizama. (2010) Well-posedness of second order evolution equation on discrete time. Journal of Difference Equations and Applications 16:10, pages 1165-1178.
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Articles from other publishers (7)

Dmitriy Leykekhman & Boris Vexler. (2018) Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM Journal on Numerical Analysis 56:4, pages 2178-2202.
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Balázs Kovács, Buyang Li & Christian Lubich. (2016) A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM Journal on Numerical Analysis 54:6, pages 3600-3624.
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Ravi P. Agarwal, Claudio Cuevas & Carlos LizamaRavi P. Agarwal, Claudio Cuevas & Carlos Lizama. 2014. Regularity of Difference Equations on Banach Spaces. Regularity of Difference Equations on Banach Spaces 47 55 .
Ravi P. Agarwal, Claudio Cuevas & Miguel V.S. Frasson. (2012) Semilinear functional difference equations with infinite delay. Mathematical and Computer Modelling 55:3-4, pages 1083-1105.
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Claudio Cuevas & Carlos Lizama. (2010) Semilinear evolution equations on discrete time and maximal regularity. Journal of Mathematical Analysis and Applications 361:1, pages 234-245.
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Claudio Cuevas & Carlos Lizama. (2008) Semilinear Evolution Equations of Second Order via Maximal Regularity. Advances in Difference Equations 2008:1, pages 316207.
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Matthias Geissert. (2006) Maximal L p regularity for parabolic difference equations . Mathematische Nachrichten 279:16, pages 1787-1796.
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