NIT Hamirpur Syllabus for Numerical Analysis & Programming

 

NIT Hamirpur Syllabus  Numerical Analysis & Programming

 

Numerical Analysis & Programming

Solution of Nonlinear and Transcendental equations:  Basic concepts on polynomial equations,

Roots of equations by Bisection method, iterative method, Regula?falsi method, Newton?Raphson

method, Secant method.

Numerical Interpolation: Least square curve fit and trigonometric approximations, Finite differences

and difference operators, Newtons interpolation formulae, Gauss forward and  backward formulae,

Sterling, Bessel’s and Evertte’s formulae, Interpolation with unevenly space d data points?Lagrange’s

interpolation.

Numerical differentiation and integration: Numerical differentiation, errors in numerical

differentiation, Numerical integration?Trapezoidal, Simpson’s 1/3and3/8rules,Romberg integration?

recursive formulae, Evaluation of double integrals by Trapezoidal and Simpson’s rules.

System of simultaneous algebraic equations: Matrix inversion and solution of transcendental and

system of algebraic equations?Gauss elimination method, Jacobi’s method and Gauss?Seidal method,

Eigen values and Eigen vectors, Jacobi’s method

Ordinary differential equations: Picard’s method, Euler’s method, Modified Euler’s method, Runge?

Kutta methods of 2nd and 4th order.

Applications to Civil Engg. problems: Formulation of    various problems of Civil Engineering

calculation of slope & design of a beam, Seepage and development of flow nets, consolidation of soil

layer, head loss due to friction, water supply pipe network etc and development of computer

programmes.

Books

Grewal, B.S., Numerical methods in engineering and science, Khanna Publishers,   Delhi.

Schafer,Michael,   Computational   engineering:   introduction   to   numerical   methods,

Springer?Verlag, Berlin.

Rajasekaran, S.    Numerical methods in science and engineering: a practical approach,

WheelerPublishing, New Delhi.

Lafore, Robert, Object Oriented programming in C++, Techmedia, Delhi.

Balagurusamy, E. Object oriented programming with C++, Tata McGraw?Hill, New Delhi.B. Tech Civil Engineering Course Scheme and Syllabus effective from July 2012 for 3

rd

–8

th

semester

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