Numerical Methods Simulations Mathcad

WORKSHEETS IN MATHCAD
INTRODUCTION TO SCIENTIFIC COMPUTING
	Measuring Errors
		True Error [MATHCAD] Approximate Error [MATHCAD]
	Binary Representation
		Decimal to binary representation [MATHCAD] Binary to decimal representation [MATHCAD]
	Measuring Errors
		Decimal to floating point representation [MATHCAD] Binary to floating point representation [MATHCAD]
	Propagation of Errors
		Propagation of Errors [MATHCAD]

Differentiation
	Continuous Functions
		Forward Divided Difference [MATHCAD] Backward Divided Difference [MATHCAD] Central Divided Difference [MATHCAD] Continuous functions Second Order Derivative [MATHCAD]
	Discrete Data
		Discrete functions [MATHCAD]

Nonlinear Equations
	Bisection Method
		Method [MATHCAD] Convergence [MATHCAD] Pitfall: Slow convergence of bisection method simulation [MATHCAD]
	Newton-Raphson Method
		Method [MATHCAD] Convergence [MATHCAD] Pitfall: Division by zero [MATHCAD] Pitfall: Slow Convergence at Inflection Points [MATHCAD] Pitfall: Root jumps over several roots [MATHCAD] Pitfall: Roots oscillates around local maxima and minima [MATHCAD]
	Secant Method
		Simulation of secant method [MATHCAD] Convergence Simulation of secant method [MATHCAD] Pitfall: Division by zero in secant method simulation [MATHCAD] Pitfall: Root jumps over several roots in secant method [MATHCAD]

SIMULTANEOUS LINEAR EQUATIONS
	Gaussian Elimination
		Method [MATHCAD]
	Gauss-Seidel Method
		Method [MATHCAD]
		Convergence [MATHCAD]
	LU Decomposition
		Method [MATHCAD]

Interpolation
	Direct Method
		Method [MATHCAD]
	Newton's Divided Difference Method
		Method [MATHCAD]
	Lagrange Method
		Method [MATHCAD]
	Spline Method
		Method [MATHCAD]

REGRESSION
	Linear Regression
		Method [MATHCAD]
	Nonlinear Regression
		Without Data Linearization [MATHCAD] With Data Linearization [MATHCAD] Polynomial Regression [MATHCAD] Comparing with and without Data Linearization [MATHCAD]
	Adequacy of a Regression Model
		Adequacy [MATHCAD]

Integration
	Trapezoidal Rule
		Method [MATHCAD] Convergence [MATHCAD]
	Simpson's 1/3rd Rule
		Method [MATHCAD] Convergence [MATHCAD]
	Romberg Rule
		Method [MATHCAD] Convergence [MATHCAD]
	Gauss-Quadrature Rule
		Method [MATHCAD] Convergence [MATHCAD]
	Integrating Discrete Functions
		Integrating discrete functions [MATHCAD]

ORDINARY DIFFERENTIAL EQUATIONS
	Euler's Method
		Method [MATHCAD] Convergence [MATHCAD]
	Runge-Kutta 2nd order Method
		Method [MATHCAD] Convergence [MATHCAD]
	Runge-Kutta 4th order Method
		Method [MATHCAD] Convergence [MATHCAD]
	Shooting Method
		Method [MATHCAD]
	Finite Difference Method
		Method [MATHCAD]