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Lecture# 23
'Numerical Solution of ODE's as IVP' Video Lecture
Numerical Solution of ODE's as IVP
Course
:
Mathematical Methods in Engineering and Science
Discipline
:
Mechanical Engineering
Faculty
: Dr. Bhaskar Dasgupta
Institute
:
IIT Kanpur
Numerical Solution of ODE's as IVP
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Mathematical Methods in Engineering and Science (Mechanical Engineering)
Video Lectures by
Dr. Bhaskar Dasgupta
from
IIT Kanpur
through NPTEL.
Course
:
Mathematical Methods in Engineering and Science
Discipline
:
Mechanical Engineering
Faculty
: Dr. Bhaskar Dasgupta
Institute
:
IIT Kanpur
NEXT LECTURE >>
Boundary Value Problems, Question of Stability in IVP Solution
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Course Video Lectures
Introduction
Basic Ideas of Applied Linear Algebra
Systems of Linear Equations
Square Non-Singular Systems
Ill-Conditioned and Ill-Posed Systems
The Algebraic Eigenvalue Problem
Canonical Forms, Symmetric Matrices
Methods of Plane Rotations
Householder Method, Tridiagonal Matrices
QR Decomposition, General Matrices
Singular Value Decomposition
Vector Space: Concepts
Multivariate Calculus
Vector Calculus in Geometry
Vector Calculus in Physics
Solution of Equations
Introdcution to Optimization
Multivariate Optimization
Constrained Optimization: Optimality Criteria
Constrained Optimization: Further Issues
Interpolation
Numerical Integration
Numerical Solution of ODE's as IVP
Boundary Value Problems, Question of Stabilit..
Stiff Differential Equations, Existence and U..
Theory of First Order ODE's
Linear Second Order ODE's
Methods of Linear ODE's
ODE Systems
Stability of Dynamic Systems
Series Solutions and Special Functions
Sturm-Liouville Theory
Approximation Theory and Fourier Series
Fourier Integral to Fourier Transform, Minima..
Separation of Variables in PDE's, Hyperbolic ..
Parabolic and Elliptic Equations, Membrane Eq..
Analytic Functions
Integration of Complex Functions
Singularities and Residues
Calculus of Variations
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