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Basic Details:

  • Course Code: EM 2060
  • Credits: 3
  • Pre-requisites: –
  • Compulsory/Optional: Compulsory for Computer Engineering Specialization

Aim :

To apply and analyze numerical methods for modeling and simulation.

Intended Learning Outcomes:

On successful completion of the course, the students should be able to;

  • Demonstrate the limitations and identify the need of approximation, of
    numerical methods.
  • Apply and derive numerical methods to solve nonlinear equations and solve
    systems of linear equations.
  • Derive and apply interpolation and integration methods and their errors.
  • Solve ordinary differential equations and partial differential equations numerically.

Couse Content:

Taylor series, error Analysis, rate of
convergence.

Bisection method, Newton-Raphson method, fixed point iteration, systems of nonlinear equations.

Gaussian elimination, LU factorization, Iterative methods with relaxation.

least squares approximation, Fourier approximation.

Lagrange and Newton Interpolations, piecewise and spline interpolations.

Differentiation and integration(Newton-Cotes methods, Gaussian integration methods).

single step methods (Taylor method, Runge-Kutta method), adaptive step size mechanisms

explicit and implicit finite difference methods.

covering selected topics & appropriate problems from the respective fields.

Time Allocation (Hours):

Lectures
0
Assignments
0

Recommended Texts:

  • S. S. Sastry, Introductory Methods of Numerical Analysis, (2012), PHILearning Pvt. Ltd.
  • Steven Chapra and Raymond Canale, Numerical Methods for Engineers, 6th edition, (2009), McGraw-Hill Science/Engineering/Math.(2009).
  • M. K. Jain, Numerical Methods for Scientific and Engineering Computations, (2003), New Age International.
  • Eugene Isaacson and Herbert Bishop Keller, Analysis of Numerical Methods Reprint edition, (1994), Dover Publications.

Assessment:

In - course:

Tutorials/Assignments/Quizzes
30%

Mid-semester:

20%

End-semester:

50%