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'Tutorial - II' Video Lecture
Tutorial - II
Course
:
Numerical methods of Ordinary and Partial Differential Equations
Discipline
:
Mathematics
Faculty
: Dr. G.P. Raja Sekhar
Institute
:
IIT Kharagpur
Tutorial - II
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Numerical methods of Ordinary and Partial Differential Equations (Mathematics)
Video Lectures by
Dr. G.P. Raja Sekhar
from
IIT Kharagpur
through NPTEL.
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Multi-Step Methods (Explicit)
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Course Video Lectures
Motivation with few Examples
Single - Step Methods for IVPs
Analysis of Single Step Methods
Runge - Kutta Methods for IVPs
Higher Order Methods/Equations
Error - Stability - Convergence of Single Ste..
Tutorial - I
Tutorial - II
Multi-Step Methods (Explicit)
Multi-Step Methods (Implicit)
Convergence and Stability of multi step metho..
General methods for absolute stability
Stability Analysis of Multi Step Methods
Predictor - Corrector Methods
Some Comments on Multi - Step Methods
Finite Difference Methods - Linear BVPs
Linear/Non - Linear Second Order BVPs
BVPS - Derivative Boundary Conditions
Higher Order BVPs
Shooting Method BVPs
Tutorial - III
Introduction to First Order PDE
Introduction to Second Order PDE
Finite Difference Approximations to Parabolic..
Implicit Methods for Parabolic PDEs
Consistency, Stability and Convergence
Other Numerical Methods for Parabolic PDEs
Tutorial - IV
Matrix Stability Analysis of Finite Differenc..
Fourier Series Stability Analysis of Finite D..
Finite Difference Approximations to Elliptic ..
Finite Difference Approximations to Elliptic ..
Finite Difference Approximations to Elliptic ..
Finite Difference Approximations to Elliptic ..
Finite Difference Approximations to Hyperboli..
Finite Difference Approximations to Hyperboli..
Method of characteristics for Hyperbolic PDEs..
Method of characterisitcs of Hyperbolic PDEs ..
Finite Difference Approximations to 1st order..
Summary, Appendices, Remarks
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