Backward Euler type methods for parabolic integro-differential equations in Banach space

DOI10.1051/m2an/1998320100851zbMath0905.65129OpenAlexW240332131MaRDI QIDQ3839565

Stig Larsson, Nikolai Yu. Bakaev, Vidar Thomée

Publication date: 3 January 1999

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193868

zbMATH Keywords

stabilityerror estimatesfinite elementinitial value problemBanach spacequadrature methodparabolic integro-differential equationstime discretizationparabolic equation with memorybackward Euler type methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Abstract integral equations, integral equations in abstract spaces (45N05) Integro-differential operators (47G20)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Maximum norm stability and error estimates in parabolic finite element equations
• Time Discretization of an Integro-Differential Equation of Parabolic Type
• Error Estimates for Semidiscrete Finite Element Methods for Parabolic Integro-Differential Equations
• On Fully Discrete Galerkin Approximations for Partial Integro-Differential Equations of Parabolic Type
• Resolvent Estimates for Elliptic Finite Element Operators in One Dimension