# Numerical Method(NM) Notes

This page contains notes of Numerical Method of CSIT. You can read, download & share notes.

#### Unit 1: Solution of Nonlinear Equations

**Inside this note**: Bracketing and non-brackeing methods, Errors in Numerical Methods, Convergence of bisection method, Horner's method, Advantages of bisection method, Different methods for the solution of Non-linear equations, Newton-Raphson Method, Fixed point method, Bisection method,

note author : Jayanta Poudel

PDF note

Read Download

#### Unit 2: Interpolation and Regression

**Inside this note**: Newton Forward Interpolation method, Newton's Divide Differences Interpolation Method, Algorithm For Lagrange's Interpolation, Interpolation and approximation, Algorithm for linear Regression, Cubic Spline Interpolation, Lagrange Interpolation, Newton Backward Interpolation Method, Curve Fitting, Algorithm for Newton Interpolation, Fitting quadratic polynomial,

note author : Jayanta Poudel

PDF note

Read Download

#### Unit 3: Numerical Differentiation and Integration

**Inside this note**: Composite Trapezoidal Rule, Forward Difference Quotient, Gaussian Integration, Romberg Integration, Algorithm for Simpson's 1/3 rule, Algorithm for trapezoidal rule, Numerical Integration, Backward Difference Quotient, Derivative Using Newton Forward Interpolation Formula, Composite Simpson's 1/3 Rule, Simpson's 1/3 Rule, Simpson's 3/8 Rule, Higher-order Derivatives, Newton's cotes formula, Differentiating continous function, Central Difference Quotient, Numerical Differentiation, Composite Simpson's 3/8 Rule, Trapezoidal Rule,

note author : Jayanta Poudel

PDF note

Read Download

#### Unit 4: Solving System of Linear Equations

**Inside this note**: Gauss-Seidel Iterative Method, Gauss Jacobi Iterative Method, Ill-conditioned system, Eliminative technique, Matrix Inversion Method, Gauss elimination with partial pivoting, Pivoting, Eigen Value and Eigen Vector, Iterative technique, Gauss Elimination Method, Complete Pivoting, Solution of Linear Algebraic Equations, Doolittle and Cholesky Factorization, Gauss Jordan Method,

note author : Jayanta Poudel

PDF note

Read Download

#### Unit 5: Solution of Ordinary Differential Equations

**Inside this note**: Representation of higher order equation into simulataneous equation, Heun's Method, Solving Higher Order Differential Equation, Taylor's Series Method, Fourth Order Runge-kutta (R-K) Method, Picard's Method, Boundary Value Problem, Euler's Method, Initial value problem,

note author : Jayanta Poudel

PDF note

Read Download

#### Some C-Programming

**Inside this note**: Fixed point method, Bisection method, Curve Fitting, Simpson's 1/3 Rule, Simpson's 3/8 Rule, Trapezoidal Rule, Gauss Elimination Method, Gauss Jordan Method, Heun's Method, Euler Method, Gauss Seidal Iteration Method, 4th Order Runge-kutta Method, Gauss Jacobi Iteration Method, Lagranges Interpolation, Secant Method, Newton Raphson Method,

note author : Jayanta Poudel

PDF note

Read Download