Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Indian Institute of Technology Kanpur

Applied Numerical Methods

Indian Institute of Technology Kanpur and NPTEL via Swayam

Overview

Limited-Time Offer: Up to 75% Off Coursera Plus!
7000+ certificate courses from Google, Microsoft, IBM, and many more.
ABOUT THE COURSE:Objective: - To approximately solve problems of algebra and calculus, using repetitive calculations, implemented in a computerLearning Outcome: At the end of the course the students should be able to - write the algorithms for numerical solution of basic problems of algebra and calculus, such as solution of algebraic and differential equations, optimization using gradient descent, prediction using regression, - implement the above algorithms in a computer writing their own programs from scratch, - write the limitations of the above algorithms, and - solve complex problems combining multiple algorithms.INTENDED AUDIENCE: 3rd, 4th year UG students and PG students in any branch of engineeringPREREQUISITES: Undergraduate engineering mathematics Knowledge of a programming language (preferable)INDUSTRY SUPPORT: BARC, DRDO, GE, ANSYS, CSIR laboratories

Syllabus

Week 1: Course introduction, algorithm development, root finding, role/examples of numerical methods in practical problem solvingWeek 2:Minimalistic introduction to computer programmingWeek 3:System of linear/non-linear EquationsWeek 4:Eigenvalue problemWeek 5: Interpolation, finite difference, numerical differentiationWeek 6: Numerical integration, Ordinary differential equationsWeek 7:Ordinary differential equationsWeek 8:Partial differential equationsWeek 9: Case studies: modeling, nondimensionalization, solution, validationWeek 10:Regression and related techniquesWeek 11:Optimization methods, gradient descentWeek 12:Artificial neural network

Taught by

Prof. Malay K. Das

Tags

Reviews

Start your review of Applied Numerical Methods

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.