Factorization of boundary value problems using the invariant embedding method (Q2825529)
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scientific article; zbMATH DE number 6638360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorization of boundary value problems using the invariant embedding method |
scientific article; zbMATH DE number 6638360 |
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13 October 2016
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linear elliptic partial differential equations
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monograph
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boundary value problem
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factorization
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control problem
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QR method
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Riccati equation
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Factorization of boundary value problems using the invariant embedding method (English)
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The book presents a new ``factorized'' formulation for boundary value problems for linear elliptic partial differential equations and has the following contents: 1. Presentation of the formal computation of factorization; 2. Justification of the factorization computation; 3. Complements to the model problem; 4. Interpretation of the factorization through a control problem; 5. Factorization of the discretized problem; 6. Other problems; 7. Other shapes of domain; 8. Factorization by the QR method; 9. Representation formulas for solutions of Riccati equations.
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