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Numerical methods - JohnDFenton
April 21, 2010. Numerical methods John D. Fenton Institute of Hydraulic and Water Resources Engineering, Vienna University of Technology Karlsplatz 13/222, 1040 Vienna, Austria Abstract These notes provide an introduction to Numerical methods for the solution of physical problems. Extensive use will be made of Excel Solver for the solving or approximating the solution of systems of equations. Table of Contents 1. Introduction .. 2. 2. Accuracy, errors and computer arithmetic .. 3. Accuracy .. 3. Rounding .. 3. Errors .. 3. 3. Excel functions .. 5. 4. Solutions of nonlinear equations .. 7. The problem .. 7. methods .. 7. Excel Solver .. 11. 5. Systems of equations .. 11. Solution by optimisation .. 11. Systems of linear equations .. 12. Nonlinear equations .. 13. 6. Interpolation of data .. 14. The nature of the problem .. 14. Scaling of the dependent variable .. 14. 7. Approximation of data .. 15. Curve fitting by Excel .. 16. 8. Differentiation and integration.
April 21, 2010 Numerical methods John D. Fenton Institute of Hydraulic and Water Resources Engineering, Vienna University of Technology Karlsplatz 13/222, 1040 Vienna, Austria
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