TEW - Computational Methods for Solving Differential Equations (2019)

Speakers and Syllabus


 

Name of the  Speakers with
their affiliation.
No. of Lectures Details
Dr Vinay Kanwar,
Professor,
Panjab University, Chandigarh
6 Initial value problems (IVPs): Problem definition, existence & uniqueness theorem, well-posed and ill-posed IVPs. Numerical methods: One-step (Runge-Kutta-type) methods & multi-step methods, consistency, convergence and zero-stability of multi-step methods, absolute stability, Dahlquist’s equivalence theorem.
Dr S.K. Tomar,
Professor
Panjab University, Chandigarh
6 Boundary value problems (BVPs): Problem definition, existence and uniqueness theorem, conditioning. Finite difference methods (FDMs): consistency, stability and convergence.
Dr A.S. Vasudeva Murthy
Professor
TIFR Centre for Applicable Mathematics, Bangalore
6 Partial Differential Equations: Classification of PDEs - Parabolic, Elliptic and Hyperbolic. Finite Difference Methods (FDMs): Explicit and Implicit methods, consistency, stability and convergence
Dr Thirupathi Gudi
Associate Professor
IISC, Bangalore
6 Finite Element Method (FEM): Introduction, Finite elements: line, triangular and rectangular, Numerical integration over finite elements. Methods: Ritz finite element method and Least square finite element method

Time Table

Day

Date

Lecture 1

(9.30–10.30)

Tea

(10.35-10.55)

Lecturer 2

(11.00–12.00)

Lecture 3

(12.00–1.00)

Lunch

(1.00 – 2.20)

Lecture 4

(2.30-3.30)

Tea

(3.35 -3.55)

Discussion

(4.00-500)

Snacks

(5.05 – 5.30)

 

 

(Speaker’s name)

 

(Speaker’s name)

(Speaker’s name)

 

(Speaker’s name)

 

(Tutor’s name)

 

Wed

Dec 25

SK Tomar

 

Vinay Kanwar

SK Tomar

 

Vinay Kanwar

 

Sukhjit

Suraj

 

Thu

Dec 26

Vinay Kanwar

 

SK Tomar

Vinay Kanwar

 

SK Tomar

 

Sukhjit

Suraj

 

Fri

Dec 27

SK Tomar

 

Vinay Kanwar

SK Tomar

 

Vinay Kanwar

 

Sukhjit

Suraj

 

Sat

Dec 28

A.S. Vasudeva Murthy

 

Thirupathi Gudi

A.S. Vasudeva Murthy

 

Thirupathi Gudi

 

Sukhjit

Suraj

 

Sun

Dec 29

Thirupathi Gudi

 

A.S. Vasudeva Murthy

Thirupathi Gudi

 

A.S. Vasudeva Murthy

 

Sukhjit

Suraj

 

Mon

Dec 30

A.S. Vasudeva Murthy

 

Thirupathi Gudi

A.S. Vasudeva Murthy

 

Thirupathi Gudi

 

Sukhjit

Suraj

 

 

Name of the tutors:

  1. Dr. Sukhjit Singh (NIT Jalandhar)

  2. Dr. Suraj Goyal (DAV University Jalandhar)

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