Numerical Methods and Simulation

Study materials: PHC574

Numerical Methods and Simulation

Topic 1: Essentials of Computer programming
- (a): Fundamental of Programming
- (b): Fundamental of MATLAB programming
- (c): Matrix Algebra
- (d): Number Systems
- (e): Errors in Numerical Solution
Topic 2: Numerical estimation of Roots of an equation
- (a): Bisection and Regula Falsi Method
- (b): Newton-Raphson Method
- (c): Secant Method
- (d): Fixed point Method
- (e): Solution of Simultaneous system of nonlinear equations
Topic 3: System of Linear Equations
- (a): System of Linear Equations
- (b): Gauss Elimination method
- (c): Gauss-Jordan method
- (d): LU decomposition method
- (e): Inverse of the Matrix method
- (f): Iterative method
Topic 4: Curve fitting
- (a): Least Square regression method
- (b): Nonlinear Equation in linear form
- (c): Polynomial Least Square regression method
Topic 5: Interpolation
- (a): Single polynomial method
- (b): Lagrange polynomials method
- (c): Newton's polynomials method
Topic 6: Fourier Series and Fourier Transform
Topic 7: Numerical Derivative
Topic 8: Numerical Integration
- (a): Introduction and Rectangular method
- (b): Mid-point method
- (c): Trapezoidal method
- (d): Simpson's 1/3 method
- (e): Simpson's 3/8 method
- (f): Gauss quadrature method
Topic 9: Numerical Solution of differential equations
- (a): Initial value problems
- (b): Boundary value problems