University : Anna University
Subject : MA2264 NUMERICAL METHODS
SEMESTER:Common To All Branches
UNIT I SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS
Solution of equation �Fixed point iteration: x=g(x) method - Newton�s method � Solution of linear system by Gaussian elimination and Gauss-Jordon method� Iterative method - GaussSeidel method - Inverse of a matrix by Gauss Jordon method � Eigen value of a matrix by power method and by Jacobi method for symmetric matrix.
UNIT II INTERPOLATION AND APPROXIMATION
Lagrangian Polynomials � Divided differences � Interpolating with a cubic spline � Newton�s forward and backward difference formulas.
UNIT III NUMERICAL DIFFERENTIATION AND INTEGRATION
Differentiation using interpolation formulae �Numerical integration by trapezoidal and Simpson�s 1/3 and 3/8 rules � Romberg�s method � Two and Three point Gaussian quadrature formulae � Double integrals using trapezoidal and Simpsons�s rules.
UNIT IV INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS
Single step methods: Taylor series method � Euler method for first order equation � 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
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 and two dimensional Laplace and Poisson equations.
Numerical Methods Anna University Subject Notes
Download Lecture/Subject Notes Here(Unit I-V)
Link2 : get Through For Notes Version - 2
Subject : MA2264 NUMERICAL METHODS
SEMESTER:Common To All Branches
UNIT I SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS
Solution of equation �Fixed point iteration: x=g(x) method - Newton�s method � Solution of linear system by Gaussian elimination and Gauss-Jordon method� Iterative method - GaussSeidel method - Inverse of a matrix by Gauss Jordon method � Eigen value of a matrix by power method and by Jacobi method for symmetric matrix.
UNIT II INTERPOLATION AND APPROXIMATION
Lagrangian Polynomials � Divided differences � Interpolating with a cubic spline � Newton�s forward and backward difference formulas.
UNIT III NUMERICAL DIFFERENTIATION AND INTEGRATION
Differentiation using interpolation formulae �Numerical integration by trapezoidal and Simpson�s 1/3 and 3/8 rules � Romberg�s method � Two and Three point Gaussian quadrature formulae � Double integrals using trapezoidal and Simpsons�s rules.
UNIT IV INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS
Single step methods: Taylor series method � Euler method for first order equation � 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
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 and two dimensional Laplace and Poisson equations.
Numerical Methods Anna University Subject Notes
Download Lecture/Subject Notes Here(Unit I-V)
Link2 : get Through For Notes Version - 2
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