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home · studies

| Arithmetic Analysis |
| Module Type: |
General Foundation |
| Module Code: |
225 |
| Syllabus: |
Numerical systems and errors. Gauss elimination - LU factorisation - forward/backward substitution.
Diagonal systems –Sparse matrices. Non-quadratic systems. Least-square method. Normal equations - Gram-Schmidt Method.
Numerical solution of non-linear equations. Systems of non-linear equations. Lagrange & Newton Polynomial.
Spline interpolation. Numerical integration and numerical solution of differential equations (Euler, Runge-Kutta methods).
Scientific Computation. |
| Module Aims-Objectives: |
To introduce students to the theory and practice of numerical methods and their algorithmic implementation
for the solution of specific problems.
Upon completing this module students should be able to use arithmetical methods for the approximate calculation of:
1. Systems of linear equations.
2. Non-linear equations.
3. Polynomial functions.
4. Integrals.
5. Differential equations.
6. Errors rising from the application of arithmetic methods.
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| Bibliography: |
• "Arithmetic methods and programmes for mathematical computations", G. Forsythe, M. Malcolm, C. Moler, University
of Crete Publishing
• "Elementary Numerical Anlalysis (An algorithmic Approach)", S.D.
Conte, Carl de Boor, Mc Gaw-Hill, 1980 |
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