AIS Numerical Analysis (2012)

Venue: DEPARTMENT OF MATHEMATICS
HANS RAJ  GUPTA  HALL
PANJAB UNIVERSITY
CHANDIGARH (UT)
Dates: 18th June - 7th July 2012

 

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

 

School Convener(s)
Name S. K. Tomar G. D. Veerappa Gowda
Mailing Address

Department of Mathematics,
Panjab University, Sector-14
Chandigarh -160014

Tata Institute of Fundamental Research,
Center for Applicable Mathematics,
Bangalore

While dealing with the realistic problems of physical and experimental importance in various fields like Fluid Dynamics, Electrodynamics, Elasticity, Chaotic dynamics, Biological sciences, Information sciences etc., Mathematics plays a key role in finding their solutions. Very frequently, we come across various types of equations, e.g., non-linear equations, ordinary differential equations, partial differential equations, functional differential equations and Integro-differential equations. Many times, it is not possible to find their analytical solutions. In order to find the approximate solutions of these equations, one has to adopt numerical techniques. The numerical solutions so obtained may suffer numerical instability or may contain large errors. In order to control these implications, the correct mathematical methods in correct situation need to be analyzed. This is where one cannot go ahead without mathematical help. At the same time, one should not rely blindly on the solutions provided by the mathematical software available today. It is emphasized that before going to solve the related mathematical problems on the available software, the mathematical well-posedness and the existence of solution space should be analyzed properly. Keeping in view the need and importance of classical and advances numerical methods, it will be highly useful to hold an Advanced Instructional School on this topic. This course will be of great importance to the research scholars dealing with numerical analysis and will provide impetus to their further research.

 

Speakers and Syllabus 

 

Speaker Number of Lectures Detailed Syllabus
Speaker 1 KKS(2) VK(4) 6 Root Finding for Nonlinear Equations (Bisection, Newton’s method, Secant and Muller’ method);  Approximation of Functions (Weierstrass, Tyalor’ theorem, Minimax and least square Approximation), Numerical Integration. 
Speaker 2RCM(6) 6 Linear multistep method: Introduction to general linear multistep methods, derivation of multistep methods through Taylor’s expansion, numerical integration and interpolation, stability and convergence analysis, Runge-Kutta methods, classical and higher order Runge-Kutta methods, stability and convergence analysis. 
Speaker 3KB(6) 6 Numerical Analysis of ordinary differential equations: Rayleigh – Ritz, Galerkin, Differential quadrature, Shooting, Finite Difference and Finite element methods. 
Speaker 4KB(6) 6 Parabolic partial differential equations:Explicit, Implicit, Three time level schemes, ADI and LOD methods, their stability and convergence analysis
Speaker 5GDV(6) 6 Hyperbolic partial differential equation in one space dimension: Upwind, Lax-Wendroff, Box, Le-Frog Schemes and their stability and convergence analysis. Finite volume method for conservation laws. 
Speaker 6RKM(6) 6 Elliptic partial differential equation: Finite difference method, variational formulation of elliptic partial differential equation and Finite element method. 

Abbreviations used:

 VK- Vinay Kanwar (PU, Chandigarh) , RCM- R C Mittal (IITR, Roorkee), RKM- R K Mohanty (DU Delhi), KB- M K Kadalbajoo (IIT, Kanpur) , GDV- G D Veerappa Gowda (TIFR, Bangalore), KKS-Kapil Kumar Sharma (PU, Chandigarh).

Time-Table

      Lecture 1 Tea Lecture 2 Lunch Tutorial or Tea &
              Guest lecture Snacks
  Day Date 9.00-10.30   11.00 -12.30   2.00 - 4.00  
Week 1 1 18/6/12 RKM   RCM   RKM+AS+RD  
  2 19/6/12 RKM   RCM   RKM+AS+RD  
  3 20/6/12 RKM   RCM   RKM+AS+RD  
  4 21/6/12 RKM   RCM   RCM+SG+AK  
  5 22/6/12 RKM   RCM   RCM+SG+AK  
  6 23/6/12 RKM   RCM   RKM+SG+AK  
                 
Week 2 1 25/6/12 GDV   GDV   GDV+AK+SG  
                 
  2 26/6/12 GDV   GDV   GDV+AK+SG  
  3 27/6/12 GDV   VK   VK+AK+SG  
  4 28/6/12 GDV   VK   VK+AK+SG  
  5 29/6/12 GDV   KKS   Special Lecture  
                 
  6 30/6/12 GDV   KKS   KKS*+RD+AS  
                 
Week 3 1 02/7/12 KB   KB   KB+RD+AS  
  2 03/7/12 KB   KB   KB+RD+AS  
  3 04/7/12 KB   KB   KB+RD+AS  
  4 05/7/12 KB   KB   KB+AK+AS  
  5 06/7/12 KB   KB   RD+AK+KB  
  6 07/7/12 KB   KB   RD+AK+KB  
                 

Abbreviations used:

 VK- Vinay Kanwar (PU, Chandigarh) , RCM- R C Mittal (IITR Roorkee), RKM- R K Mohanty (DU Delhi), KB- M K Kadalbajoo (IIT, Kanpur) , GDV- G D Veerappa Gowda (TIFR, Bangalore), KKS- K K Sharma (PU, Chandigarh),AK= Arti Khurana (DAV, Chandigarh), SG-Suraj Goyel (PU Chandigarh), RD- Raman Deep(PU Chandigarh), AS-Anuj Sharma(PU Chandigarh).

 

Selected Applicants
  • The selected participants are requested to confirm their participation by 10th May 2012 for booking accommodation.
  • Confirmation mail should be sent to sktomar66 at gmail.com
  • Travel by 3rd AC Train fare is allowed to the participants
Sr. SID Full Name Gender Affilation State Position in College/Univ.
 University/ Institute M.Sc./M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 1454 Mr. Suriyakumar Palanisamy M Bharathiar Univ. Tamil Nadu UNIVERSITY BHARATHIAR UNIVERSITY 2008  
2 1416 Mr. Subburayan Veerasamy M Bharathiar Univ. Tamil Nadu RESEARCH SCHOLAR BHARATHIDASAN UNIVERSITY 2009  
3 815 Dr. Anita Tomar F GOVT.DEGREE COLLEGE DAKPATHER Uttarakhand ASSOCIATE PROFESSOR H.P.U.SHIMLA 1985 12 May 2003
4 1292 Mr. Vikas Kumar M National Institute of Technology, Kurukshetra Haryana Research Scholar Kurukshetra University, Kurukshetra 2007  
5 1249 Mr. Jai Bhagwan M Government College Sector-1, Panchkula Haryana Assistant Professor panjab University, Chandigarh 2005  
6 1361 Mrs. Harsimran Kaur F Shaheed Udham Singh college Punjab Assitant Professor Panjab University M.Sc(Hons. School)Mathematics 2000  
7 1198 Mr. Getinet Alemayehu Gawo M Anna University TAMIL NADU RESEARCH SCHOLAR Addis Ababa University, Ethiopia 2007  
8 926 Mr. Santu Das M Indian Institute of Technology Guwahati Assam Research Scholar Indian Institute of Technology Guwahati, M.Sc. 2009  
9 1100 Ms. Chinar Rana F Indian Institute Technology Ropar Punjab Research Scholar G.N.D.U Amritsar 2008  
10 1067 Ms. Neelam Choudhary F IIT
GUWAHATI		 Assam Research scholar M. J. P. Rohilkhand University Bareilly 2008  
11 961 Ms. Nidhi Chaudhary F BITS Pilani Rajasthan Research Scholar C C S University 2009  
12 844 Ms. Preeti Dubey F BITS Pilani Rajasthan Research Scholar CSJMU Kanpur, M.Sc. 2006  
13 878 Mr. Jayanta Borah M North eastern regional institute of science and technology Arunachal Pradesh Assistant Professor Gauhati University 2003  
14 1101 Mr. Satyajit Pramanik M IIT Ropar Punjab Research Scholar IIT KHARAGPUR 2011  
15 776 Mr. Raj Kumar Soni M UNSIET Veer Bahadur Singh Purvanchal Uni
Jaunpur 221001		 Uttar Pradesh Assistant Prof. IIT Roorkee 1998  
16 1219 Mr. Mitiku Daba Firdi M Anna University,Chennai Tamil Nadu Research Scholar Addis Ababa University 2007  
17 1224 Mr. Srikumar Panda M IIT Ropar Punjab Research Scholar INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI 2010  
18 1268 Ms. Rabia Kamra F IIT  Delhi. Delhi Student M.Sc. from Dept. of Mathematics, Panjab University, Chandigarh. 2010  
19 928 Mr. Abin Rejeesh M Pondicherry University Puducherry Research Scholar Nesamony Memorial Christian College, Marthandam. 2010  
20 1150 Dr. Sanasam Sarat Singh M Mizoram University Mizoram Assistant Professor Panjab University 2003 1 Nov 2008
21 1316 Ms. Isha Dhiman F IIT Ropar Punajb Research Scholar Panjab University, Chandigarh 2009  
22 1358 Mr. Sourav Mandal M IIT Kharagpur. West Bengal Junior Research Fellow Indian Institute Of Technology Madras 2010  
23 1360 Ms. Nikita Setia F Department of Mathematics
University of Delhi		 Haryana Research Scholar University of Delhi 2009  
24 1378 Mr. Pankaj Mishra M Hindustan College of Science & Technology UTTAR PRADESH Assistant Professor I.I.T. KANPUR 2001  
25 1385 Mrs. Jyoti Talwar F Department of Mathematics, Delhi University New Delhi Research Scholar IIT Delhi 2004  
26 829 Mr. Sabaskar Jayaraj M PONDICHERRY UNIVERSITY PUDUCHERRY RESEARCH SCHOLAR ST JOHN'S COLLEGE, PALAYAMKOTTAI 2008  
27 1397 Mr. Balakumar V M NATIONAL INSTITUTE OF TECHNOLOGY TAMIL NADU RESEARCH SCHOLAR Pondicherry University, Puducherry 2009  
28 1425 Ms. Sharanjeet Dhawan F Dr. B R Ambedkar National Institute of Technology Jalandhar Punjab Assistant professor GNDU M.sc. 2006 23 Mar 2012
29 1435 Mr. Suraj Shankarlal Meghwani M National Centre for Radio Astrophysics, Tata Institute of fundamental Research Maharashtra Project Student M.Tech in Modeling ans Simulation, University of Pune    
30 1452 Mr. Virendra Kumar M National Institute of Technology Hamirpur (HP) Himachal Pradesh Senior Research Fellow HNB Garhwal University / M.Sc. 2007  
31 1511 Ms. Preeti Jain F Banasthali University, Banasthali Rajasthan Research Associate Govt. College, Kota, University of Kota, Rajasthan 2006  
32 1462 Mr. Sukhjit Singh M IIT KHARAGPUR WEST BENGAL INDIA WEST BENGAL RESEARCH SCHOLAR GURU NANAK DEV UNIVERSITY AMRITSAR PUNJAB 2008  
33 1449 Mr. Prakash Mani M GANDHIGRAM RURAL INSTITUTE-DEEMED UNIVERSITY TAMIL NADU Research Scholar M.sc 2011  
34 1374 Dr. Jai Prakash Jaiswal M Maulana Azad National Institute of Technology, Bhopal Madhya Pradesh Asst. Professor Purvanchal University 2007 28 Nov 2011
35 1343 Ms. Akanksha Srivastava F Motilal Nehru National Institute Of Technology, Allahabad Uttar Pradesh Research Scholar Banarus Hindu University 2009  
36 1405 Mr. Prakash Dhanapal M BHARATHIAR UNIVERSITY TAMILNADU STUDENT BHARATHIAR UNIVERSITY, COIMBATORE-46. 2009  
37 1392 Ms. Priyanka Kumari F Indian School of Mines, Dhanbad Jharkhand Research Scholar M. Sc 2009  
38 1391 Mr. Sumit Kumar Vishwakarma M Indian School of Mines, Dhanbad Jharkhand Research Scholar Indian School of Mines, Dhanbad 2009  
39 1490 Mr. M.Prakash Madheshwaran M Bharathiar University Tamil Nadu Student Bharathiar University 2010  
40 1314 Mr. Rupam Kr Gogoi M Sibsagar College,Joysagar Assam Assistant Professor Gauhati University, Guwahati 1996  

 

How to reach

Chandigarh is capital of Punjab and Haryana and is a Union Territory. Chandigarh is well connected with trains, air and roads from Delhi. It is about 250 kilometers from Delhi in the north direction. It is well connected with trains and roads from Uttar Pradesh, Haryana, Himachal Pradesh and Punjab.

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