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Projection Method for Cauchy Problem for an Operator-Differential Equation
- Source :
- Numerical Functional Analysis and Optimization. 30:148-167
- Publication Year :
- 2009
- Publisher :
- Informa UK Limited, 2009.
-
Abstract
- In the current paper, we study a projection method for a Cauchy problem for an operator-differential equation with a leading self-adjoint operator A(t) and a subordinate linear operator K(t) in a Hilbert space. The projection subspaces are linear spans of eigenvectors of an operator similar to A(t). It is assumed that the operators A(t) and K(t) are sufficiently smooth. Error estimates for the approximate solutions and their derivatives are obtained. The application of the developed method for solving the initial boundary value problems is given.
- Subjects :
- Cauchy problem
Control and Optimization
Mathematical analysis
Orthographic projection
MathematicsofComputing_NUMERICALANALYSIS
Hilbert space
Projection (linear algebra)
Computer Science Applications
symbols.namesake
Operator (computer programming)
Multiplication operator
Signal Processing
symbols
Boundary value problem
Analysis
Eigenvalues and eigenvectors
Mathematics
Subjects
Details
- ISSN :
- 15322467 and 01630563
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- Numerical Functional Analysis and Optimization
- Accession number :
- edsair.doi...........c52c50832e93f56b9db1591a14081795