Anna University -Study Materials for all Departments # 080230029 Numerical Methods CSE 6th Semester Anna University Coimbatore Syllabus Regulation 2008

Anna university Coimbatore Syllabus

080230029 Numerical Methods CSE 6th Semester Anna University Coimbatore Syllabus Regulation 2008

Department of Computer science and Engineering

Meant for Anna University Coimbatore,trichy,trinelveli

Syllabus
(Regulation 2008/2010)
___________________________________________________________________________________
Details:
University:Anna University
Year: third  Year
Department: B.E Computer Science and Engineering
Semester:  (VI)
Content: 080230029 Numerical Methods CSE 6th Semester Anna University Coimbatore Syllabus Regulation 2008
Subject code: 080230029
Subject Name: Numerical Methods
Regulation: 2008 or 2010
Post Type: Syllabus

UNIT I
SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS       9+3

Linear interpolation methods (method of false position) Newton’s method Statement of Fixed Point Theorem Fixed point iteration: x=g(x) method Solution of linear system by Gaussian elimination and Gauss-Jordon methods- Iterative methods: Gauss Jacobi and Gauss-Seidel methods- Inverse of a matrix by                                                                      Gauss Jordon method Eigenvalue of a matrix by power method.

UNIT II
INTERPOLATION AND APPROXIMATION                                              9+ 3

Lagrangian Polynomials – Divided differences Interpolating with a cubic spline – Newton’s forward and backward difference formulas.

UNIT III
NUMERICAL DIFFERENTIATION AND INTEGRATION                       9+ 3

Derivatives from difference tables Divided differences and finite differences – Numerical integration by trapezoidal and Simpson’s 1/3 and 3/8 rules Romberg’s method Two and Three point Gaussian quadrature formulas Double integrals using trapezoidal and Simpson’s rules.

UNIT IV         INITIAL    VALUE     PROBLEMS     FOR     ORDINARY     DIFFERENTIAEQUATIONS                                                                       9+ 3

Single step methods: Taylor series method Euler and modified Euler methods Fourth order Runge Kutta method for solving first and second order equations – Multistep methods: Milne’s and Adam’s predictor and corrector methods.

UNIT V
BOUNDARY   VALUE    PROBLEMS    IN   ORDINARY    AND   PARTIAL
DIFFERENTIAL EQUATIONS                                                                    9+ 3

Finite  difference  solution  of  second  order  ordinary  differential  equation  –    Finite difference solution of one dimensional heat equation by explicit and implicit methods One dimensional wave equation.
TUTORIAL 15
TOTAL : 60

TEXT BOOKS

1.  Gerald, C.F, and Wheatley, P.O, Applied Numerical Analysis, Sixth Edition, Pearson Education Asia, New Delhi, 2002.
2.  Balagurusamy, E.,  Numerical Methods, Tata  McGraw-Hill Pub.Co.Ltd, New
Delhi, 1999.

REFERENCES

1.  Kandasamy,  P.,  Thilagavathy,  K.  and  Gunavathy,  K.,  Numerical  Methods, S.Chand Co. Ltd., New Delhi, 2003.
2.  Burden, R.L and Faires, T.D., Numerical Analysis, Seventh Edition, Thomson

Asia Pvt. Ltd., Singapore, 2002.

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