NPDE-2016

Indian Institute of Technology Bombay

NATIONAL PROGRAMME ON DIFFERENTIAL EQUATIONS: THEORY, COMPUTATION & APPLICATIONS

NPDE-TCA 2016

(Sponsored by DST)

POSTGRADUATE LEVEL TRAINING PROGRAMME ON DIFFERENTIAL EQUATIONS

Venue:
INDIAN INSTITUTE OF TECHNOLOGY ROPAR
May 16th - June 4th, 2016

  Lecture Notes       Program Schedule     Group Photo   NPDE Photo Collection

IIT Bombay in collaboration with IIT Ropar is pleased to announce Postgraduate Training Programme under the auspices of NPDE-TCA at IIT Ropar during May 16 - June 4, 2016.

OBJECTIVES:

  • To generate manpower to pursue higher studies in Applied and Computational Mathematics.
  • To provide linkage between theory and practice through real life problems.
  • To expose participants to mathematical software in Scientific Lab sessions with hands on computing.
  • To prepare manpower to support scientific organisations and industry by providing appropriate training.

TARGET AUDIENCE:

Students pursuing M. Sc. in Mathematics (on-going or completed), Young teachers in Mathematics, a few exceptional students from B. Tech/B.E (final year) of institutes, universities and colleges, and Scientists from Industry and Research & Development Organizations.

MAIN TOPICS:

Multivariable calculus(Implicit and Inverse function theorems, Gauss-Greens theorems), Analysis(Ascoli-Arzela theorem, elements of measure theory, L^2 space); Ordinary Differential Equations(existence theory and stability results); Partial Differential Equations(First order linear and nonlinear hyperbolic PDEs, Second order linear elliptic and parabolic PDEs(Green's function with properties, maximum principles etc.), wave equation(d'Alembert formula, reflection principle etc.); Mathematical Modeling(basics of modeling with examples from industrial problems); Finite Difference Methods for PDEs with hands on computing(stability, consistency and convergence of numerical schemes for PDEs; iterative methods like Jacobi, Gause-Saidel and SOR).

LIST OF RESOURCE PERSONS:

  • Prof. S. Sivaji Ganesh (IIT Bombay)
  • Prof. Suman Kumar (University of Hyderabad)
  • Prof. Lingaraj Sahu (IISER Mohali)
  • Prof. Vasudevamurthy (TIFR Bangalore)
  • Prof. Chittaranjan Mishra (IIT Ropar)
  • Prof. Harish Kumar (IIT Delhi)
  • Prof. V. Krishnan (TIFR-CAM Bangalore)
  • Prof. Phoolan Prasad (IISc Bangalore)
  • Prof. Ch. Srinivasa Rao (IIT Madras)
  • Prof. K. R. Arun (IISER Thiruvananthapuram)
  • Prof. S. Baskar (IIT Bombay)
  • Prof. R. Usha (IIT Madras)

CO-ORDINATORS:

  • Manoranjan Mishra (IIT Ropar)
  • S. Sivaji Ganesh (IIT Bombay)
  • S. Baskar (IIT Bombay)

LOCAL ORGANISING COMMITTEE:

  • Manoranjan Mishra (IIT Ropar)
  • S. C. Martha (IIT Ropar)
  • A. K. Gupta(IIT Ropar)

PARTICIPATION:

To participate in the workshop fill in the required form which can be available on the website: http:www.npde-tca.math.iitb.ac.in/PG2016/pg2016.php and request your Referees to send us your recommendation letter along with your application ID to this email: pg.npde@gmail.com.

Last date for receipt of applications: April 10th, 2016

Selection of participants will be based on their academic records and recommendation letter.

List of selected participants wll be put on the web page by 12th April, 2016.

CONTACT:
Amiya K Pani, Convener, NPDE-TCA,

Department of Mathematics, Industrial Mathematics Group,
IIT Bombay, Powai, Mumbai-400 076.
Email: pg.npde@gmail.com, Phone: 022-2576 4765

  
Lecture Notes
Speaker File
Prof. Phoolan Prasad Wave Equation notes. Click Here
Wave Equation Dynamics. Click Here
Wave Equation Kinematics. Click Here
Energy Density and Uniqueness Theorem of Cauchy Problem for the Wave Equation. Click Here
Prof. S. Baskar Finite Difference Methods for Heat and Poisson Equations notes. Click Here
Finite Difference Method for homogeneous heat equation. Matlab code file first. click Here.
Finite Difference Method for homogeneous heat equation. Matlab code file second. click Here.

Selected Photos






Group Photos