Peano's kernel theorem for vector-valued functions and some applications

DOI10.1080/01630569608816682zbMath0868.41021OpenAlexW1491713032MaRDI QIDQ4886615

Marco Vianello, Stefano De Marchi

Publication date: 28 August 1997

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569608816682

zbMATH Keywords

Banach spacevector-valued functionsabstract parabolic evolution equationsPeano kernel theoremabstract polynomial interpolationabstract quadrature formulastrapezoidal time discretization method

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Numerical solutions to equations with linear operators (65J10) Remainders in approximation formulas (41A80)

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Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods ⋮ Kernel representation of Kalman observer and associated H-matrix based discretization ⋮ Convergence of solutions to finite difference schemes for singular limits of nonlinear evolutionary PDEs ⋮ A generalized Peano kernel theorem for distributions of exponential decay ⋮ A fractional version of the peano-sard theorem

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• On regularity at \(t=0\) for semilinear ADEs and its numerical applications
• Convergence analysis of the semi-implicit euler method for abstract evolution equations
• Part IV Parallel algorithms for partial differential equations

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