scientific article; zbMATH DE number 1308979

DOI<111::AID-NUM6>3.0.CO;2-L 10.1002/(SICI)1098-2426(199901)15:1<111::AID-NUM6>3.0.CO;2-LzbMath0939.65084MaRDI QIDQ4256035

Ivan P. Gavrilyuk, Volodymyr L. Makarov

Publication date: 12 July 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hilbert spaceabstract Euler-Poisson-Darboux equationseries of Laguerre polynomialssecond-order evolution differential equations

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

Related Items (7)

The Cayley Transform as a Time Discretization Scheme ⋮ Computing the Wave-Kernel Matrix Functions ⋮ Discrete-time model-based output regulation of fluid flow systems ⋮ Exact and approximate solutions of some operator equations based on the Cayley transform ⋮ Strongly \(P\)-positive operators and explicit representations of the solutions of initial value problems for second-order differential equations in Banach space ⋮ Approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative ⋮ The numerical solution of an evolution problem of second order in time on a closed smooth boundary

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• Interpolation of Boundary Value Problems of Neumann Type on Smooth Domains
• A Method for Solving Initial Value Problems for Linear Differential Equations in Hilbert Space Based on The Cayley Transform
• The cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in hilbert space

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