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

DOI10.1080/01630569408816582zbMath0802.47049OpenAlexW2009132071WikidataQ115301631 ScholiaQ115301631MaRDI QIDQ4302538

Volodymyr L. Makarov, Ivan P. Gavrilyuk

Publication date: 15 December 1994

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

Full work available at URL: https://doi.org/10.1080/01630569408816582

zbMATH Keywords

Cayley transformapproximate solution is a best approximation in some Hilbert subspacehomogeneous heat equationinitial value problem for a first order differential equation with an unbounded constant operator coefficient

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05)

Related Items (11)

The Cayley Transform as a Time Discretization Scheme ⋮ Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach spaces ⋮ Unimprovable convergence rate estimates of the Cayley transform method for the approximation of the operator exponent in the Hilbert space ⋮ Discrete-time model-based output regulation of fluid flow systems ⋮ Explicit and approximate solutions of a class of evolution problems in hilbert space ⋮ Unnamed Item ⋮ On the numerical solution of linear evolution problems with an integral operator coefficient ⋮ Using the Cayley transform and finite elements to solve linear time dependent problems ⋮ An exponentially convergent algorithm for nonlinear differential equations in Banach spaces ⋮ A class of fully discrete approximations for the first order differential equations in banach spaces with uniform estimates on the whole of ⋮ Explicit and approximate solutions of second order elliptic differential equations in hilbert and banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs
• Caractérisation de quelques espaces d'interpolation

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