Introduction to Scientific Computing
True Error [MATHCAD] Approximate Error [MATHCAD]
Decimal to binary representation [MATHCAD] Binary to decimal representation [MATHCAD]
Decimal to floating point representation [MATHCAD] Binary to floating point representation [MATHCAD]
Propagation of Errors [MATHCAD]
Differentiation
Forward Divided Difference [MATHCAD] Backward Divided Difference [MATHCAD] Central Divided Difference [MATHCAD] Continuous functions Second Order Derivative [MATHCAD]
Discrete functions [MATHCAD]
Nonlinear Equations
Method [MATHCAD] Convergence [MATHCAD] Pitfall: Slow convergence of bisection method simulation [MATHCAD]
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]
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
Method [MATHCAD]
Method [MATHCAD] Convergence [MATHCAD]
Method [MATHCAD]
Interpolation
Method [MATHCAD]
Newton’s Divided Difference Method
Method [MATHCAD]
Method [MATHCAD]
Method [MATHCAD]
Regression
Method [MATHCAD]
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
Method [MATHCAD] Convergence [MATHCAD]
Method [MATHCAD] Convergence [MATHCAD]
Method [MATHCAD] Convergence [MATHCAD]
Method [MATHCAD] Convergence [MATHCAD]
Integrating Discrete Functions
Integrating discrete functions [MATHCAD]
Ordinary Differential Equations
Method [MATHCAD] Convergence [MATHCAD]
Method [MATHCAD] Convergence [MATHCAD]
Method [MATHCAD] Convergence [MATHCAD]
Method [MATHCAD]
Method [MATHCAD]
Partial Differential Equations
Parabolic Partial Differential Equations
Explicit Method [MATHCAD] Implicit Method Parabolic PDEs [MATHCAD] Crank Nicolson Method Parabolic PDEs [MATHCAD]
Elliptic Partial Differential Equations
Gauss-Seidel Method [MATHCAD] Lieberman Method [MATHCAD]
Fast Fourier Transforms
Method [MATHCAD]
Method [MATHCAD]
Method [MATHCAD]