A Method for Solving Initial Value Problems for Linear Differential Equations in Hilbert Space Based on The Cayley Transform

DOI10.1080/01630569308816534zbMath0798.34064OpenAlexW1998929123MaRDI QIDQ4293271

Damir Z. Arov, Ivan P. Gavrilyuk

Publication date: 26 May 1994

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

Full work available at URL: https://doi.org/10.1080/01630569308816534

zbMATH Keywords

error estimatesHilbert spaceinitial value problemnumerical solutionCayley transform

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear differential equations in abstract spaces (34G10) Numerical analysis in abstract spaces (65J99)

Related Items

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 ⋮ A complete model of a finite-dimensional impedance-passive system ⋮ Discrete-time model-based output regulation of fluid flow systems ⋮ Explicit and approximate solutions of a class of evolution problems in hilbert space ⋮ Weighted estimates of the Cayley transform method for abstract differential equations ⋮ Unnamed Item ⋮ Using the Cayley transform and finite elements to solve linear time dependent problems ⋮ An algorithmic representation of fractional powers of positive operators ⋮ Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation ⋮ Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations. ⋮ Approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative

Cites Work

• Passive linear stationary dynamic systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item