ISL Differential Equations and Computations (2012)


 Jaypee University of Information Technology, Waknaghat, Distt. Solan

Dates: 4th Jun - 16th Jun, 2012


Convener(s) Speakers, Syllabus and Time table Applicants/Participants


School Convener(s)


Harinder Singh

 Mythily Ramaswamy

S. Sunder

Mailing Address

Department of Mathematics,
Jaypee University of Information Technology, Waknaghat,
Distt Solan - 173234, Himachal Pradesh

TIFR Centre for Applicable Mathematics,
P. Bag No. 6503 Yelahanka,
Bangalore – 560 055

Department of Mathematics,
IIT Madras,
Chennai – 600 036


The focus for this school will be ODE and ODE based methods for the second order partial differential equations and corresponding numerical methods. The School will admit about 30 participants who are Assistant Professors, preferably below the age of 35 years working in Universities and Colleges. Those without Ph. D. must be Net or SET qualified.


Speakers and Syllabus 




Speakers and Syllabus




Detailed Syllabus

Harinder Singh


JUIT, Waknaghat


Linear ODE: first and second order , Wronskian and linearly independent solutions, Characteristic equation :Complex roots, repeated roots, Non-homogeneous equations, method of variation of parameters, phase plane analysis, Examples of first and second order equation models, general nth order equations. (Chapters 1,2,3, 4 from Boyce and DiPrima)

Karanjeet Singh

(K Singh)

JUIT, Waknaghat


System of equations: First order linear system with constant coefficients, Solution of first order systems, Matrix algebra and exponentials of operators, Jordan Canonical form, Complex Eigenvalues, Repeated Eigenvalues, Non-homogeneous system, Existence and uniqueness of solutions: Picard's theorem Continuity of solutions with respect to initial conditions, Extending solutions to maximal domain of existence, global solutions, Flow of a differential equation ( Chapters 7, Boyce and Diprima; Chapters 4,5,6,8 from Hirsch and Smale )

A.S.Vasudeva Murthy


TIFR – CAM Bangalore


Autonomous systems, Types of critical points and stability, Critical points and stability of linear systems, Stability by Liapunov’s direct method, Critical points of non-linear systems, Conservation systems, Periodic solutions: Poincare’-Bendixson theorem ( Chapter 9, Boyce and DiPrima; Chapters 9,11 from Hirsch and Smale)

K. Sandeep


TIFR – CAM Bangalore


Linear and quasi-linear first order PDE: solution by the method of Characteristics, Transport equation , Burgers equation (chapter from McOwen )

Mythily Ramaswamy


TIFR – CAM Bangalore


Important second order linear PDE: Laplace equation, Heat equation, Wave equation, solution by separation of variables, Fourier series, Boundary value problems. (Chapters 10,11 of Boyce and DiPrima)

S. Sundar


IIT, Madras


Solving IVP: RK methods, Multistep methods, Solving 1d BVP: Shooting method, finite difference method, convergence, Solving 2d BVP: Poisson Equation with Dirichlet data, Neumann data, Mixed data using finite difference method, convergence, Solving 2d Parabolic problem: Explicit schemes, implicit schemes, convergence, stability.




1.“Differential Equations, Theory, Technique and Practice by G. F. Simmons and S.G. Krantz, Tata McGraw Hill, 2003.
2.“Differential Equations, Dynamical Systems and Linear Algebra” by Hirsch and Smale, Academic Press
3.“Elementary Differential Equations and Boundary Value Problems” by Boyce and DiPrima, Wiley, 2001.
4.“Partial Differential Equations”, R. McOwen
5.“Partial Differential Equations” by Lawrence C. Evans, AMS, 2000.
6.“Partial Differential Equations” by Fritz John, Springer.
7.“Numerical Solution of Differential Equations” by G. D. Smith, Oxford press, 1985.
8.“Elementary Numerical Analysis” by Samuel D. Conte and Carl de Boor, Mc-Graw Hill, 1981.
9.“Applied Numerical Analysis” by Gerald and Wheatley, Addison Wesley, 1994.




1.Dr. T. V. Anoop, NBHM Post-doc, IISc, Bangalore
2.Dr. R. K. Bajaj, JUIT Waknaghat. Solan
3.Dr. P. K. Pandey, JUIT Waknaghat. Solan



Selected Applicants


Final List of selected applicants.

Sr. SID Full Name Gender Affiliation
State Position in College /University
University  /Institute M.Sc ./M.A. Year of Passing M.Sc./
Ph.D. Degree Date
1 729 Mr. Raj Kumar Kumar Male Veer Bahadur Singh Purvanchal Univ., Jaunpur U.P. Asst. Prof. IIT ROORKEE 1998  
2 811 Dr. Gobinda Chandra Panda Male Biju Pattnaik Univ. of Technology Odisha Asst. Prof. sambalpur university 2005 7 Mar 2011
3 812 Dr. Sazid Ali Male St. Margaret Engineering College, Neemrana Rajasthan Asst. Prof. I.I.T. Roorkee, Roorkee 2011 6 Jan 2011
4 813 Dr. Jitender Singh Male Guru Nanak Dev Univ., Amritsar Punjab Asst. Prof. PU Chandigarh 2002 7 Apr 2008
5 837 Mr Jayanta borah Male N.E.R.I.S.T, Nirjuli Arunachal Pradesh Asst. Prof. Gauhati University 2003  
6 838 Mr. Ramdas Baburao Sonawane Male K. A. A. N. M. Sonawane Arts, Commerce & Science College, Satana Maharashtra Asst. Prof. IIT Bombay, Powai 2001  
7 841 Dr. Deepak Gupta Male Govt.P.G.College Solan H.P Asst. Prof. H.P.U shimla 1993 14 Nov 2002
8 852 Dr Giriraj Methi Male Poornima College of Engineering, Jaipur Rajasthan Asst. Prof. University of Rajasthan 1998 14 Apr 2011
9 943 Dr pankaj Thakur Thakur Male Indus International Univ. Una H.P. Sr. Asst. Prof. & Research Coordinator H.P.U. 2001 13 Apr 2007
10 980 Mr. Vinay Arora Male Panjab Univ., Hoshiarpur PUNJAB Asst. Prof. PANJAB UNIVERSITY CHANDIGARH 2001  
11 1003 Dr. Thynesh Valanarasu Male Bharathidasan Univ. Tamil Nadu Asst. Prof. CBM College, Coimbatore 1998 27 Sep 2007
12 1044 Mr. Rajib Haloi Male Tezpur Univ. Assam Asst. Prof. Gauhati University 2004  
13 1061 Dr. Neel Kanth Male JUIT, Waknaghat, solan H.P Lecturer I.I.T Roorkee 2002 26 Oct 2009
14 1086 Mr. ANSHU KUMAR Male SHARDA Univ., G. B. Nagar U.P. Asst. Prof. C.C.S. UNIVERSITY, MEERUT 2005  
15 1099 Prof. Anupma Bansal Female D.A.V. College for Women, Ferozepur Punjab Asst. Prof. Guru Nanak Dev University, Amritsar/ M.Sc. 2007  
16 1110 Mr. Sachin Kumar Male Bahra Group of Institutes, Patiala Punjab Lecturer G.N.D.U Amritsar 2006  
17 1128 Dr Syeda Darakhshan Jabeen Female Haldia Institute of Technology, Haldia West Bengal Asst. Prof. Vidyasagar University, Midnapore 2003 11 Oct 2010
18 1225 Dr Samudrala Upender 0 Male Govt. Degree College for Women, Nalgonda Andhra Pradesh Lecturer/ Asst Professor Osmania University 1995 31 Dec 2009
19 1256 Ms Sucheta Nayak Female Lady Shri Ram College For Women New Delhi Asst. Prof. IIT DELHI 2005  
20 1263 Mr Naveen Sharma Male Smt Aruna Asaf Ali Govt. P.G College, Kalka Haryana Asst. Prof. Panjab University 2006  
21 1282 Ms Gurpreet Kaur Female Lovely Professional Univ., Phagwara Punjab Lecturer Panjab University (Campus), Chandigarh/ M.Sc-Hons 2008  
22 1283 Ms Cheena Gupta Female Gulzar Group of Institutes, Khanna Punjab Asst. Prof. Panjab University (Campus), Chandigarh/ M.SC(Hons) 2008  
23 1393 Dr Mahinder Singh Sharma Male Govt Post Graduate College Seema (Rohru) IN-HP Asst. Prof. Himachal Pradesh University  Shimla 2002 9 Sep 2009
24 1407 Dr. Arshad Khan Male Jamia Millia Islamia (A Central Univ.) Delhi Asst. Prof. Aligarh Muslim University, Aligarh 1997 3 Aug 2002
25 1442 Mr. Prasad Tayaji Bathe Male Sinhgad Inst Of Technology, Lonavala. Maharashtra Asst. Prof. DEPT OF MATHS , PUNE UNIVERSITY 2005 1 Jul 2010
26 1468 Dr. Rajagopalan Thiruvenkadachari Male Univ. College of Engineering Villupuram Tamil Nadu Asst. Prof. 79 2004 16 Mar 2012
27 1489 Dr. Puneet Arora Male NIIT Univ. Rajasthan Asst. Prof. Agra University 2003 1 Feb 2011
28 1534 Mr Ramakanta Meher Male Dept.of Mathematics
National Institute of Technology, Surat
Gujarat Asst. Prof. Sambalpur University 2001  
29 1551 Mr. Nikhil Pal Male Visva-Bharati Univ., Bolpur West Bengal Asst. Prof. VISVA BHARATI 2007  
30 1559 Mr. Surinder Pal Singh Male Department of Mathematics, Campus Guru Nanak Dev Univ., Amritsar Punjab Asst. Prof. 78.9 2006  


How to reach


By Bus: All buses from Delhi, Chandigarh (ISBT 43) and other places to Shimla pick and drop passengers at Waknaghat. University campus is 3 KM from the drop point. Taxis and autos are available.


By Train and Bus: Direct trains are available from various stations upto Chandigarh and Kalka. After that one has to avail bus service to campus. From Kalka onwards one can also choose to travel by Kalka-Shimla Heritage Train upto Kandaghat (12 KM from University)

Nearest convenient airport is Chandigarh.

For Location Map use the link