IST Differential Equations - Theory, Methods and Applications (2019)
Venue: | Bharathiar University, Coimbatore, Tamil Nadu |
Date: | 18th, Nov 2019 to 30th, Nov 2019 |
Name | Prof. S Saravanan | Prof. G D Veerappa Gowda |
Mailing Address |
Head – Department of Mathematics |
Dean – TIFR Centre for Applicable Mathematics |
Speakers with their affiliations:
Name of the speaker |
Affiliation |
A Adimurthi | Professor, TIFR CAM (AA) |
G D V Gowda | Professor, TIFR CAM (GDVG) |
P Kandaswamy | Former Professor, Bharathiar University (PK) |
R Sahadevan | Former Professor, RIASM (RS) |
Y V S SSanyasiraju | Professor, IIT Madras (YVSSS), IIT Hyderabad |
P G Siddheshwar, | Professor, Bangalore University (PGS) |
S Sundar | Professor, IIT Madras (SS) |
Guest Speaker: M Lakshmanan |
Professor – Centre for Nonlinear Dynamics, Bharathidasan University (ML) |
List of Tutors
Name of the tutor |
Affiliation |
Nilanjan Bag |
IIT Guwahati |
Pramath Anamby |
IISc Bangalore |
Manish Kumar Pandey |
HRI, Allahabad |
Syllabus:
Sr. |
Speaker |
Affiliation |
Detailed Syllabus |
1 | A Adimurthi | Professor, TIFR CAM |
Elliptic partial differential equations:Gauss-Green theorem, Integration by parts formula, fundamental solution for Laplace equation, solving Poisson equation in Rn, Harnack’s inequality, Green’s functions, representation formula for the solution of boundary value problem by using Green’s function. Green’s functions for a ball and for an upper half plane. |
2 | G D V Gowda | Professor, TIFR CAM |
First order nonlinear equations: First order partial differential equations: Introduction to PDE, solving linear, semilinear, quasilinear and fully nonlinear first order equations by using the method of characteristics. Examples and their applications in various fields. |
3 | P Kandaswamy | Former Professor, Bharathiar University | Applications of IBVPs:ode model - human immune system, system of equations, phase plane analysis and interpretation, two extreme cases. pde models - gravity waves and their occurrence in atmosphere, critical levels and their significance, the energy and momentum transfer; double diffusive convection and its solutions, finger and other instabilities. |
4 | R Sahadevan | Former Professor, RIASM | Applications of Lie group to Differential Equations: Lie group, Transformation group, applications of Lie group to nonlinear ODE and nonlinear PDE |
5 | Y V S SSanyasiraju | Professor, IIT Madras | Numerics for parabolic and hyperbolic partial differential equations : basic finite difference approximation of parabolic and hyperbolic pde, truncation error, convergence through stability and consistency, higher order and compact approximations, application to some of the benchmark problems from incompressible flows |
6 | P G Siddheshwar, | Professor, Bangalore University | Numerics for ordinary differential equations (IVPs and BVPs):Initial Value problems: Euler's method, Higher order Taylor's method, Runge-Kutta method, stability and convergence. Boundary value problems with or without eigenvalues: shooting method for nonlinear problems, finite difference methods for boundary value problems, etc. |
7 | S Sundar | Professor, IIT Madras | Meshfree methods: Boundary value problems: meshfree method, 2D incompressible Navier-Stokes Equations, solution for applications involving Coutte flow, Poiseuelle flow, driven cavity flow, broken dam free surface flow, etc. |
8 | Guest Speaker: M Lakshmanan |
Professor – Centre for Nonlinear Dynamics, Bharathidasan University | Basics of Solitons in Nonlinear Dispersive Partial Differential Equations |
Time Table
Day | Date | Lecture 1 (9.45–11.15) |
Lecture 2 (11.45–1.15) |
Tutorial 1 (2.30–3.30) |
Tutorial 2 (4.00-5.00) |
||||
Mon | 18 Nov ‘19 | PGS | T E A |
PGS | L u n c h |
PGS+ SA | T E A |
PGS+SA | S n a c k s |
Tues | 19 Nov ‘19 | PGS | PGS | PGS+SA | PGS+SA | ||||
Wed | 20 Nov ‘19 | PK | PK | ML+SA | PK+SA | ||||
Thu | 21 Nov ‘19 | AA | ML | GDVG+SA | AA+SA | ||||
Fri | 22 Nov ‘19 | GDVG | AA | GDVG+SA | AA+SA | ||||
Sat | 23 Nov ‘19 | AA | GDVG | AA+SA | GDVG+SA | ||||
Sunday : Off | |||||||||
Mon | 25 Nov ‘19 | GDVG | T E A |
AA | L u n c h |
GDVG+RK | T E A |
AA+ RK | S n a c k s |
Tue | 26 Nov ‘19 | PK | PK | PK+ RK | PK+ RK | ||||
Wed | 27 Nov ‘19 | YVSSS | YVSSS | YVSSS + RK | YVSSS + RK | ||||
Thu | 28 Nov ‘19 | YVSSS | YVSSS | YVSSS + RK | YVSSS + RK | ||||
Fri | 29 Nov ‘19 | SS | SS | SS+ RK | SS+ RK | ||||
Sat | 30 Nov ‘19 | RS | RS | RS+ RK | RK |
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List of actual Participants
Sr | SID | Full Name | Gender | Affiliation | Position in College / University | Univ./ Inst. M.Sc./ M.A. | Year of Passing M.Sc./ M.A |
Ph.D. Deg date |
1 | 30679 | Dr. Veeramani C | Male | PSG College of Technology | Asst. Prof. | Bharathidasan university | 2005 | 19/05/ 2013 |
2 | 30726 | Mr S Mahesh | Male | Kathir College of Engineering | Asst. Prof. | A.V.V.M Sri Pushpam College (Autonomous) | 2011 | |
3 | 30729 | Dr Maddileti Pasupula | Male | University College Of Science & Informatics, Mahatma Gandhi University |
Asst. Prof. | Osmania University | 2006 | 21/09/ 2011 |
4 | 30742 | Dr Manisha Chaudhary | Female | MITS, Gwalior (M.P.) | Asst. Prof. | M.Sc. | 2009 | 22/12/ 2017 |
5 | 30745 | Mr. Jeshua Rajan | Male | St. John's College | Asst. Prof. | St. John's College, Palayamkottai | 2016 | |
6 | 30751 | Ms Jaya Lakshmi P | Female | Sri GVG Visalakshi College For Women | Asst. Prof. | Sri GVG Visalakshi College For Women(Autonomous) | 2006 | |
7 | 30759 | Dr. A. Vadivel | Male | Government Arts College(Autonomous), Karur-5. | Asst. Prof. | Periyar University | 2003 | 11/02/ 2011 |
8 | 30784 | Dr Syed Ali | Male | Thiruvalluvar Univeristy | Asst. Prof. | Msc | 2005 | 22/12/ 2010 |
9 | 30804 | Ms. Soniya Dhama | Female | Indian Institute of Technology Mandi | PhD | IIT Delhi / M.Sc | 2015 | |
10 | 30815 | Ms Vaishnavi S | Female | Vellore Institute Of Technology-Chennai | Research Scholar - Phd | M.sc. Applied Mathematics in Anna university-MIT campus | 2018 | |
11 | 30827 | Dr. Velmurugan Gandhi | Male | Sultan Qaboos University | Post Doctoral | Sri Ramakrishna Mission Vidyalaya College of Arts and Science | 2010 | 26/05/ 2017 |
12 | 30855 | Mr Karnan A | Male | The Gandhigram Rural Institute (Deemed to be University) | PhD | The Gandhigram Rural Institute (Deemed to be University) | 2017 | |
13 | 30856 | Ms. Shafiya M | Female | The Gandhigram Rural Institute (Deemed to be University) | PhD | The Gandhigram Rural Institute (Deemed to be University) | 2018 | |
14 | 30907 | Ms Garima Garima | Female | SOUTH ASIAN UNIVERSITY | PhD | KURUKSHETRA UNIVERSITY KURUKSHETRA | 2016 | |
15 | 30915 | Mrs Anitha Sakthivel | Female | Sri ramakrishna engineering college | PhD | PSGR Krishnammal College for women | 2014 | |
16 | 30952 | Dr. Vidhya Ks | Female | Kumaraguru College of Liberal Arts and Science | Asst. Prof. | Sri G.V.G. Visalakshi College for Women, Udumalpet | 2004 | 12/08/ 2016 |
17 | 31020 | Ms. Loganayaki S | Female | Sri G.V.G Visalakshi College for Women | Asst. Prof. | Sri G.V.G Visalakshi College for Women | 2017 | |
18 | 31032 | Ms. Sangeeta Devi | Female | NIT Kurukshetra | PhD Student | Kurukshetra University, Kurukshetra | 2016 | |
19 | 31040 | Dr. D Prakash | Male | SRM University | Asst. Prof. | Bharathiar University | 2009 | 13/08/ 2014 |
20 | -- | Dr.Sathiyaseelan D | Manonmanium Sundaranar University, Tirunelveli. | Asst. Prof. | ||||
21 | -- | Mr. B. Ganesh Kumar | Bharathiar University, Coimbatore | Research Scholar | ||||
22 | -- | Ms. M. Kousalya | Bharathiar University, Coimbatore | Research Scholar | ||||
23 | -- | Mrs. R. Baranitha | Bharathiar University, Coimbatore | Research Scholar | ||||
24 | -- | Ms. L. Ramya | Bharathiar University, Coimbatore | Research Scholar | ||||
25 | -- | Mrs. V. Annapoorani | Bharathiar University, Coimbatore | Research Scholar | ||||
26 | -- | Mr. K, Udhayakumar | Bharathiar University, Coimbatore | Research Scholar | ||||
27 | -- | Mr. P. Nirvin | Bharathiar University, Coimbatore | Research Scholar | ||||
28 | -- | G.Divya | IIT, Tirupati | Research Scholar |
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