On the approximations of derivatives of integrated semigroups. II

DOI10.1515/jiip.2011.053zbMath1279.34071OpenAlexW2179797890MaRDI QIDQ5745479

Miao Li, V. A. Morozov, Serguei Piskarev

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2011.053

zbMATH Keywords

Banach spacesiterative methods\(C_0\)-semigroupsdiscrete semigroupsill-posed problemsregularization procedureTrotter-Kato theoremintegrated semigroupsdiscretization methodsabstract differential equationsstability of difference schemesLavrentiev's method

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (6)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Finite-difference methods for fractional differential equations of order \(1/2\) ⋮ Inverse source problem for the abstract fractional differential equation ⋮ Approximation of the Bitsadze-Samarskii inverse problem for an elliptic equation with the Dirichlet conditions ⋮ On the approximation of fractional resolution families ⋮ Stability of difference schemes for fractional equations

Cites Work

• Integrated semigroups
• The Hille-Yosida and Trotter-Kato theorems for integrated semigroups
• On the convergence and approximation of integrated semigroups
• Ill-posed problems, \(C_{0}\)-semigroups and the Showalter regularization
• The stability of rational approximations of analytic semigroups
• On the approximations of derivatives of integrated semigroups
• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• Perturbations and approximations of integrated semigroups
• Crank–Nicolson Scheme for Abstract Linear Systems

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