A theoretical introduction to numerical analysis
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TextPublication details: Boca Raton Chapman & Hall (Taylor & Francis group) 2007Description: xiii, 537 ppISBN: 9781584886075Subject(s): Mathematics; AnalysisLOC classification: QA297| Item type | Current library | Collection | Shelving location | Call number | Copy number | Status | Date due | Barcode | Item holds |
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Book
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ICTS | Mathematics | Rack No 5 | QA297 (Browse shelf (Opens below)) | 1 | Available | 02567 |
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1. Introduction;
I. Interpolation of functions. Quadratures;
2. Algebraic interpolation;
3. Trigonometric interpolation;
4. Computation of definite integrals. Quadratures;
II Systems of Scalar equations;
5. Systems of linear algebraic equations: direct methods;
6. Iterative methods for solving linear systems;
7. Overdetermined linear systems. The method of least squares;
8. Numerical solution of nonlinear equations and systems;
III. The method of finite differences for the numerical solution of differential equation;
9. Numerical solution of ordinary differential equations;
10. Finite-difference schemes for partial differential equations;
11. Discontinuous solutions and methods of their computation;
12. Discrete methods for elliptic problems;
IV. The methods of boundary equations for the numerical solution of boundary value problems;
13. Boundary integral equations and the method of boundary elements;
14. Boundary equations with projections and the method of difference potentials
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