Spring 2023 || Numerical Methods || BCIS

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Introduction to numerical methods

Importance of numerical methods

Use of computer programming in numerical methods

Newton's Method

Nonlinear equations and their solutions

Trial and error method, Graphical method, Bisection method

False position method, Secant method, Newton’s method and Fixed point iteration method

Rate of convergence of iterative methods

Newton’s method for polynomials and Horner’s rule

Existence of solutions for linear set of equations

Gaussian elimination method

Introduction

Pivoting and Illconditioning

Gauss-Jordan method

Matrix inversion and matrix factorization

Doolittle algorithm and Cholesky's factorization

Iterative Solution Using Gauss-Seidel Method

Eigen value and eigen vector using power method

Lagrange interpolation

Newton’s interpolation using divided differences and difference table

Cubic spline interpolation

Least squares method of fitting linear and nonlinear function for given data

Numerical differentiation formulas

Maxima and minima of a tabulated function

Review of differential equations

Review of partial differential equations

Deriving difference equations

Spring 2023 || Numerical Methods || BCIS

Spring 2023 || Numerical Methods || BCIS

Spring 2023 || Numerical Methods || BCIS

Published by: Dikshya

Published date: 04 Sep 2023

Spring 2023 || Numerical Methods || BCIS

POKHARA UNIVERSITY

Level: Bachelor Semester: Spring Year: 2023

Programme: BBA/BI/TT/BCIS/BHCM/BHM Full Marks: 100

Course: Data Analysis and Modeling Pass Marks: 45

Time: 3 hrs.