Explicit and approximate solutions of second order elliptic differential equations in hilbert and banach spaces

DOI10.1080/01630569908816919zbMath0939.65085OpenAlexW1969797771MaRDI QIDQ4705845

Volodymyr L. Makarov, Ivan P. Gavrilyuk

Publication date: 22 March 2000

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

Full work available at URL: http://cds.cern.ch/record/304220

zbMATH Keywords

algorithmserror estimatesapproximate solutionsHilbert spaceunbounded operatorboundary value problemBanach spacesecond-order differential equationMeixner polynomialsexplicit representation of solutionsCaley transform

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

Related Items

Data-sparse approximation to the operator-valued functions of elliptic operator, The Cayley Transform as a Time Discretization Scheme, Weighted estimates of the Cayley transform method for abstract differential equations, Weighted Estimates of the Cayley Transform Method for Boundary Value Problems in a Banach Space

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