Difference schemes for solving the Cauchy problem for a second-order operator differential equation

DOI10.1134/S0965542514040083zbMath1313.65128OpenAlexW2012537659WikidataQ115247864 ScholiaQ115247864MaRDI QIDQ2940463

Mikhail M. Kokurin

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514040083

zbMATH Keywords

Cauchy problemdifference schemeerror estimateBanach spaceconvergence rateill-posed problemsecond-order linear differential equationregularizing algorithmoperator differential equationoperator calculus

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Discrete approximation of solutions of the Cauchy problem for a linear homogeneous differential-operator equation with a Caputo fractional derivative in a Banach space ⋮ Direct and converse theorems for iterative methods of solving irregular operator equations and finite difference methods for solving ill-posed Cauchy problems

Cites Work

• An iterative method for solving the Cauchy problem for elliptic equations
• Discretization methods for stable initial value problems
• On iterative methods for solving ill-posed problems modeled by partial differential equations
• On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Generation of Analytic Semigroups by Strongly Elliptic Operators
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