TEW - Analytical and Numerical Solutions of Ordinary and Partial Differential Equations (2023)

Speakers and Syllabus

Name of the Speaker with affiliation	No. of Lectures	Detailed Syllabus
Prof. Satyajit Roy, IIT Madras	6	Finite Difference methods for PDEs with Consistency, Stability and Convergence – Parabolic, Laplace and Hyperbolic
Prof. G D Veerappa Gowda, TIFR CAM Bangalore	6	Introduction to PDE. Solving linear, semi-linear, quasilinear and fully non-linear first order equations by using the method of characteristics. Conservation laws: Weak Solutions, concept of entropy solution and Riemann problems. Examples with their applications in various fields.
Prof. Natesan Srinivasan, IIT Guwahati	6	Solution of first order ordinary differential equations, Approximate Solution: Picard Iteration Method, Taylor Series method, Euler method, Modified Euler Method, Second and Fourth Order Runge Kutta methods.
Prof. B.V. Rathish Kumar, IIT Kanpur	6	Multistep Methods, Error Analysis, Stiff Differential Equations, Two-Point Boundary Value Problems (BVPs).

References:

1. G. D. Smith, Numerical Solutions to Partial Differential Equations, Oxford University Press, 3rd Edn., 1986.

2. Burden RL, Faires J D Numerical Analysis Cengage Learning, 2007

3. Evans, L.C., Partial differential equations, Rhode Island: AMS, Providence.

4. John, F., Partial Differential equations, Springer Verlag.

Name of the tutors:

S.No.	Name	Affiliation
1	Dr. Manoj Sahni	Pandit Deendayal Energy University Gandhinagar
2	Dr. Chandra Shekhar Nishad	International Institute of Information Technology, Naya Raipur (IIIT-NR)

Time-table (with names of speakers and tutors):

Full forms for the abbreviations of speakers and tutors:

File Attachments: