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

Convener(s)


Name:	Dr. Manoj Sahni	Dr. Chandra Shekhar Nishad
Mailing Address:	Associate Professor and Former Head Department of Mathematics Pandit Deendayal Energy University Gandhinagar, Gujrat - 382426.	Assistant Professor (Grade-I) Mathematics Discipline Department of Science, Humanities, and Management (SHM) International Institute of Information Technology, Naya Raipur, Chhattisgarh – 493661
Email:	manoj.sahni at sot.pdpu.ac.in	chandrashekhar at iiitnr.edu.in

The main aim of this workshop is to enhance the basic understanding of Ordinary and Partial Differential Equations. The analysis (such as existence, uniqueness, stability, and convergence etc.) of the numerical methods will be discussed by the esteemed speakers. In addition to this, the workshop will focus on developing the analytical, numerical, and computational skills of the participants. The numerical methods discussed will be helpful in research and also enhance their skills in teaching. This workshop will benefit the college and university teachers and thereby their undergraduate and post-graduate students.

Please note that TEW is meant only for the local college teachers. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. The usual length of the TEW is 5/6 days. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared.

Dates:

Tuesday, December 5, 2023 - 19:00 to Sunday, December 10, 2023 - 19:00

Venue:

International Institute of Information Technology

Venue Address:

International Institute of Information Technology, Naya Raipur, Chhattisgarh

Venue State:

Chhattisgarh

Venue City:

Naya Raipur

PIN:

493661

Syllabus:

Name of the Speaker with affiliation	No. of Lectures	Detailed Syllabus
Prof. Mohan Krishen Kadalbajoo, LNMIIT Jaipur	6	Numerical Methods for First-order ODEs – Initial-Value Problems - 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. Multistep Methods, Error Analysis, Stiff Differential Equations.
Prof. Natesan Srinivasan, IIT Guwahati	6	Numerical Methods for Two-Point Boundary-Value Problems – Second-order ODEs – Finite Difference Methods, Truncation errors, Stability Analysis, Error estimates, Finite Element Methods (FEM), Error analysis, Basics of MATLAB.
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.
Dr. Mithilesh Kumar Chaube, IIIT Naya Raipur	6	Finite Difference methods for PDEs with Consistency, Stability and Convergence – Parabolic, Laplace and Hyperbolic

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:

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

Date, Days	Lecture 1 9:30-10:30	10:30 to 11:00	Lecture 2 11:00-12:00	Lecture 3 12:00-1:00	1:00	Lecture 4 2:30-3:30	3:30 to 4:00	Tutorial 1 4:00-5:00	5:00-5:30
	(Speaker’s name)	Tea	(Speaker’s name)	(Speaker’s name)	Lunch	(Speaker’s name)	Tea	(Tutor’s name)	Snacks
05-12-2023 Tuesday	NS		MKK	NS		MKK		NS, MS, CSN
06-12-2023 Wednesday	NS		MKK	NS		MKK		NS, MS, CSN
07-12-2023 Thursday	NS		MKK	NS		MKK		NS, MS, CSN
08-12-2023 Friday	GDVG		MKC	GDVG		MKC		MKC, MS, CSN
09-12-2023 Saturday	GDVG		MKC	GDVG		MKC		MKC, MS, CSN
10-12-2023 Sunday	GDVG		MKC	GDVG		MKC		MKC, MS, CSN	Valedictory Session

Full forms for the abbreviations of speakers and tutors:

Prof. Natesan Srinivasan (NS) https://www.iitg.ac.in/natesan/

Prof. Mohan Krishen Kadalbajoo (MKK) https://scholar.google.co.in/citations?user=8xF0V5AAAAAJ&hl=en

Prof. G D Veerappa Gowda (GDVG) https://www.math.tifrbng.res.in/people/gowda

Dr. Mithilesh Kumar Chaube (MKC) https://www.iiitnr.ac.in/content/mithilesh-kumar-chaube

Dr. Manoj Sahni (MS) https://scholar.google.co.in/citations?user=iDrxNGwAAAAJ&hl=en

Dr. Chandra Shekhar Nishad (CSN) https://scholar.google.co.in/citations?user=iDrxNGwAAAAJ&hl=en

Selected Applicants:

The following are the instructions for the participants:

It is compulsory to attend every lectures
TA/DA will not be given other than lunch and snacks during the workshop
Paid Accommodation can be arranged in campus on request (first come first serve)

Sr.n	SID	Full Name	Gender	Affiliation	Position in College/ University	University/ Institute M.Sc./ M.A.	Year of Passing M.Sc./ M.A	Ph.D. Degree Date
1	51636	Mr. Sangram Satpathi	Male	IISER TVM	PhD	IISER TVM	2022
2	51735	Mr. Hemanta Dey	Male	Techno International New Town	Assistant professor	West Bengal University of Technology
3	51764	Dr. Saranya S	Female	Arulmigu Arthanareeswarar Arts And Science College	Assistant Professor Of Mathematics	Kongunadu Arts And Science College, Coimbatore, India	2013	07/10/2020
4	51821	Mr Jalisraj A	Male	Vellore Institute of technology	Phd	Loyola college	2016
5	51888	Mr. Poovarasan R	Male	National Institute of Technology Puducherry	Phd	M.sc	2019
6	51912	Mr. Sandip Rout	Male	Government Autonomous College, Angul	Assistant Professor	Ravenshaw University	2018
7	51922	Dr. Rahul Kumar	Male	Kashi Naresh Government PG College, Gyanpur	Assistant Professor	University of Allahabad	2013	04/02/2022
8	52103	Mr Rajkumar M	Male	Vellore Institute of Technology Chennai Campus	Ph.D	The American College, Madurai.	2022
9	52104	Ms. Angelin Shena S	Female	Vellore Institute of Technology	Ph.D	The American College, Madurai	2022
10	52189	Dr Govind Prasad Sahu	Male	Center for Basic Sciences, Pt. Ravishankar Shukla University, Raipur, Chhattisgarh	Assistant Professor	PT. Ravishankar Shukla University, Raipur,	2004	31/03/2014
11	52221	Ms. A Sai Lekshmi	Female	National Institute of Technology Puducherry	PhD	University of Kerala M.Sc.	2020
12	52273	Mr Mohammad Saif	Male	Jamia Millia Islamia	Research Scholar	Jamia Millia Islamia, New Delhi-25	2020
13	52357	Mr. Vijayakumar M	Male	SRM Institute of Science and Technology	Research Scholar	University of Madras/ M.Sc.	2016
14	52358	Ms Sangeetha S	Female	SRM Institute of Science and Technology	PhD	Bishop Heber College, Trichy.	2020
15	52360	Dr. Saroj Yadav	Female	Lovely Professional University	Assistant Professor	VNIT, Nagpur	2017	27/12/2022
16	52580	Mr Naveen S	Male	Vellore Institute of Technology, Chennai Campus	Research Scholar	Nandha Arts and Science College, Erode.	2018
17	52620	Dr. Sidheswar Behera	Male	Veer Surendra Sai University of Technology	Asst. Prof.	Berhampur University	2013	04/02/2023
18	52632	Dr Saurabh Kapoor	Male	Regional Institute of Education NCERT Bhubaneswar	Assistant Professor	H N B GARWAL UNIVERSITY, SRINAGAR	2004	24/11/2014
19	52655	Mr. Vishal Chhabra	Male	Pandit Deendayal Energy University, Gandhinagar, Gujarat	Research Scholar	Kurukshetra University, Kurukshetra (M.Sc.)	2017
20	52681	Dr Suriyakumar P	Male	KPR Institute Of Engineering And Technology	Assistant Professor	Bharathiar University	2008	03/06/2016
21	52724	Dr. Pappu Kumar	Male	H.R.College, Amnour (Jai Prakash University, Chapra)	Assistant professor	BHU, VARANASI	2010	07/10/2017
22	52770	Dr. Deepak Kumar Maurya	Male	Veer Bahadur.Singh Purvanchal University Jaunpur, 222003, Uttar Pradesh	Assistant Professor	University of Allahabad	2016	22/02/2022
23	53007	Ms Vanitha Archana M	Female	PSG College of Arts & Science	Ph.D	Dr. N. G. P. Arts and Science College	2020
24	53028	Ms Sowndharya M	Female	PSG College of Arts & Science	PhD	Dr.NGP Arts and science college,kalapatti	2019
25	53040	Ms Shweta Singh	Female	National Institute of Technology Jamshedpur	PhD	Udai Pratap College Varanasi	2017
26	53134	Ms. Surbhi - Sharma	Female	Swami Keshvanand Institute Of Technology& Gramothan	Assistant Professor	M.Sc. University Of Rajasthan Jaipur	2010
27	53225	Mr. Manivel M	Male	A. Veeriya vandayar memorial Sri Pushpam college	Ph.D Student	M.Sc	2021
28	53326	Ms. Keerthana Shri K S	Female	PSG College of Arts & Science	Ph.D.	PSG College of Arts & Science	2018
29	53345	Ms. Ananya Rout	Female	National Institute of Technology Jamshedpur	PhD	Sambalpur University	2020
30	53488	Ms Jyotsna Kumari Bharti	Female	National Institute of technology	PhD	Biju Patnaik University	2018
31	53506	Mr Sumit Kumar	Male	NIT jamshedpur	PHD	Central University Of South Bihar	2020
32	53534	Dr. Sunil Kumar Sahoo	Male	Regional Higher Secondary School	Sr. Lecturer	Alagappa University, Tamilnadu	2007	28/03/2022
33	53603	Dr.(Mrs.) Arti Shrivastava	Female	Govt. Engineering College	Assistant Professor	Pt. Ravi Shankar Shukla University Raipur	1999	27/11/2012
34	53606	Dr. Tejaswini Pradhan	Female	Kalinga University, Naya Raipur, Chhattisgath	Asst. Professor	Sambalpur University	2014	28/02/2020
35	53631	Mr Sanjeev Dwivedi	Male	International Institute of Information Technology - Naya Raipur	Ph.D.	Sam Higginbottom University of Agriculture, Technology and Sciences, Prayagraj	2023
36	53633	Mr. Md Mentu Sk	Male	International Institute of Information Technology Naya Raipur	Ph.D.	Aliah University	2019
37	53659	Dr. Renuka Sahu	Female	Kalinga University, Naya Raipur	Assistant Professor	Pt. Ravishankar Shukla University	2012	20/12/2022

How to Reach:

International Institute of Information Technology Naya Raipur (IIIT-NR), Chhattisgarh

IIIT Naya Raipur is located in the newly developing smart city Nava Raipur, Atal Nagar. The campus is situated on lush green land of Uparwara village, Sector 24, Near Purkhoti Muktangan, Atal Nagar – 493661 Chhattisgarh.

· From Swami Vivekananda Airport, Raipur, Chhattisgarh (15 KM): IIIT Naya Raipur campus can be reached by any authorized or prepaid taxi available at Airport (nearly 30 mins). The charges may be approximately Rs. 550/-.

· Route from Swami Vivekananda Airport, Raipur to IIIT NR: https://goo.gl/maps/B1sLfu9iRDk

From Raipur Railway Station (24 KM): Various transport possibilities like Auto rickshaw and private cab can be used to reach IIIT Naya Raipur directly (nearly 50 mins). The charges may be approximately between Rs. 400/- to Rs. 800/-. Fully Air-Conditioned BRTS buses are also running from Raipur Railway Station to HNLU (nearest bus stop to IIIT-NR, which is approx. 1 KM) with frequency of 30 - 40 mins and the bus fare is Rs. 40. (It will take nearly 1 hour).
Route from Raipur Railway Station to IIIT-NR: https://goo.gl/maps/99ScvLnW9aT2

School Short Name:

ansopde

Last Date Application:

Monday, August 15, 2022

School Type:

TEW