WORKSHEETS IN MATHCAD
INTRODUCTION TO SCIENTIFIC COMPUTING
Measuring Errors
True Error[MATHCAD]Approximate Error[MATHCAD]
Binary Representation
Decimal to binary representation[MATHCAD]Binary to
decimalrepresentation[MATHCAD]
Measuring Errors
Decimal tofloating pointrepresentation[MATHCAD]Binary to
floating point representation[MATHCAD]
Propagation of Errors
Propagation of Errors[MATHCAD]
DIFFERENTIATION
Continuous Functions
Forward Divided Difference [MATHCAD]BackwardDivided 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]
