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Course Detail

Course Name Computational Methods for Engineers
Course Code 19AEE334
Program B. Tech. in Aerospace Engineering
Year Taught 2019


Unit 1

Introduction to Numerical Techniques: Numerical Methods – Round off and truncation errors – Approximations – Order of Convergence – Numerical interpolation. Application of concepts: Modelling friction in flows within constrained geometries – Generation of aerofoil geometries – Computation of a projectile trajectory

Unit 2

Solution techniques of a linear system of equations: Gauss elimination – Gauss-Jordan method– LU Decomposition – Iterative methods for linear systems. Solution of non-linear equations: Optimisation & NewtonRaphson methods. Application of concepts: Response of multi degree of freedom systems – Panel Method for Aerofoils – Optimisation of a parachute production cost.

Unit 3

Computational methods for ODEs: Eigen values – Single step methods – multi-step methods. Stability, consistency, accuracy and efficacy of these methods. Application of concepts: Dynamics of the linear simple pendulum – Dynamics of the non-linear simple pendulum – Modelling heat dissipation in turbine blades – Modelling the flow over flat plate geometry.

Objectives and Outcomes

Course Objectives

  • The objective of the course is to introduce students to the numerical techniques commonly used in solving engineering problems

Course Outcomes

  • CO1: Given an engineering problem, understand the mathematical model required to describe the problem.
  • CO2: Comprehend the physics represented by the mathematical model to select an appropriate method/algorithm.
  • CO3: Apply the numerical solution method via a well-designed computer program.
  • CO4: Analyse the numerical solutions that were obtained in regards to their accuracy and suitability for applications.

CO – PO Mapping



CO1 3 3 2 3 1
CO2 3 2 3 3 1
CO3 1 2 2 3 3 2 2
CO4 1 1 2 2 3 3 3 3 3 2

Textbook / References


  • S. C. Chapra, and R. P. Canale. Numerical methods for engineers. Boston: McGraw-Hill Higher Education, 2010.


  • S. P. Venkateshan, and P. Swaminathan. Computational methods in engineering. Elsevier, 2013.
  • R. H. Landau, M. J. Paez and C. C. Bordeianu, Computational Physics -Problem Solving with Computers, WileyVCH, 2001.

Evaluation Pattern

Assessment Internal External
Periodical 1 (P1) 15
Periodical 2 (P2) 15
*Continuous Assessment (CA) 20
End Semester 50
*CA – Can be Quizzes, Assignment, Projects, and Reports.

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