Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case)

DOI10.1007/BF01085771zbMath0484.65033MaRDI QIDQ1163845

Khoang Van Laj, Pavel E. Sobolevskii

Publication date: 1981

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Banach spaceCauchy-Dirichlet problemtwo-level difference schemesbilateral asymptotic estimatesoptimal typePade fraction

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (1)

ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INL^P([0,T;E) SPACES]

Cites Work

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• C-polynomials for rational approximation to the exponential function
• On the zeros and poles of Padé approximants to \(e^z\)
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis

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