MA9333 ADVANCED NUMERICAL METHODS SYLLABUS | ANNA UNIVERSITY MTECH CHEMICAL ENGINEERING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER M.TECH CHEMICAL ENGINEERING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI, TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
MA9333 ADVANCED NUMERICAL METHODS L T P C
3 1 0 4
UNIT I ALGEBRAIC EQUATIONS 6
Systems of linear equations – Jacobi, Gauss Seidel, SOR methods, Thomas algorithm
for tridiagonal systems; Systems of nonlinear equations - successive approximation
method, methods for improved convergence, Newton Method and its variants,
continuation methods for multiple solutions.
UNIT II ORDINARY DIFFERENTIAL EQUATIONS – IVPS 6
Runge Kutta Methods, step size control and estimates of error, numerical stability,
solution of stiff ODEs, ODE-IVPs coupled with algebraic equations;
UNIT III ORDINARY DIFFERENTIAL EQUATIONS – BVPS 12
Finite difference method, orthogonal collocation method, orthogonal collocation with
finite element method, Galerkin finite element method, shooting technique.
UNIT IV PARTIAL DIFFERENTIAL EQUATIONS – FINITE DIFFERENCE
METHOD 12
Parabolic equations – Different explicit and implicit methods, alternating direction explicit
and implicit methods; Elliptic equations – Point iterative methods, line iterative methods,
ADI methods; First order hyperbolic equations – method of characteristics, different
explicit and implicit methods; numerical stability analysis, method of lines.
UNIT V PARTIAL DIFFERENTIAL EQUATIONS – FINITE ELEMENT METHOD 9
Partial differential equations – Finite element method - orthogonal collocation method,
orthogonal collocation with finite element method, Galerkin finite element method.
L : 45 , T : 15 , TOTAL : 60 PERIODS
REFERENCES
1. Gupta, S.K., Numerical Methods for Engineers, New Age Publishers, 1995
2. Jain, M. K., S. R. Iyengar, M. B. Kanchi, R. K. Jain, Computational Methods for
Partial Differential Equations, New Age Publishers, 1993.
MA9333 ADVANCED NUMERICAL METHODS L T P C
3 1 0 4
UNIT I ALGEBRAIC EQUATIONS 6
Systems of linear equations – Jacobi, Gauss Seidel, SOR methods, Thomas algorithm
for tridiagonal systems; Systems of nonlinear equations - successive approximation
method, methods for improved convergence, Newton Method and its variants,
continuation methods for multiple solutions.
UNIT II ORDINARY DIFFERENTIAL EQUATIONS – IVPS 6
Runge Kutta Methods, step size control and estimates of error, numerical stability,
solution of stiff ODEs, ODE-IVPs coupled with algebraic equations;
UNIT III ORDINARY DIFFERENTIAL EQUATIONS – BVPS 12
Finite difference method, orthogonal collocation method, orthogonal collocation with
finite element method, Galerkin finite element method, shooting technique.
UNIT IV PARTIAL DIFFERENTIAL EQUATIONS – FINITE DIFFERENCE
METHOD 12
Parabolic equations – Different explicit and implicit methods, alternating direction explicit
and implicit methods; Elliptic equations – Point iterative methods, line iterative methods,
ADI methods; First order hyperbolic equations – method of characteristics, different
explicit and implicit methods; numerical stability analysis, method of lines.
UNIT V PARTIAL DIFFERENTIAL EQUATIONS – FINITE ELEMENT METHOD 9
Partial differential equations – Finite element method - orthogonal collocation method,
orthogonal collocation with finite element method, Galerkin finite element method.
L : 45 , T : 15 , TOTAL : 60 PERIODS
REFERENCES
1. Gupta, S.K., Numerical Methods for Engineers, New Age Publishers, 1995
2. Jain, M. K., S. R. Iyengar, M. B. Kanchi, R. K. Jain, Computational Methods for
Partial Differential Equations, New Age Publishers, 1993.
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