Advanced Numerical Methodsمحتويات مقرر
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4- Course Content :-
|
Topic
|
No. of hours
|
Lecture
|
Tutorial/Practical
|
Floating pointarithmetic.
|
6
|
3
|
3
|
Evaluation of functions.
Evaluation of polynomials.
|
6
|
3
|
3
|
numerical linear algebra.
|
6
|
3
|
3
|
The Solution of Nonlinear Equations.
|
6
|
3
|
3
|
The Solution of Linear Systems.
|
6
|
3
|
3
|
Interpolation and Polynomial Approximation.
|
6
|
3
|
3
|
Curve Fitting.
|
6
|
3
|
3
|
Numerical Differentiation.
|
6
|
3
|
3
|
Numerical integration.
|
6
|
3
|
3
|
Finite-difference methods for ordinary differential equations.
|
6
|
3
|
3
|
including direct methods for systems of linear equations.
|
6
|
3
|
3
|
Numerical methods for partial differential equations.
|
6
|
3
|
3
|
The Singular Value Decomposition.
|
6
|
3
|
3
|
Fourier transforms.
|
6
|
3
|
3
|
|