Introduction to Scientific Computing
True Error [MAPLE] Approximate Error [MAPLE]
Decimal to binary representation [MAPLE] Binary to decimal representation [MAPLE]
Decimal to floating point representation [MAPLE] Binary to floating point representation [MAPLE]
Propagation of Errors [MAPLE]
Differentiation
Forward Divided Difference [MAPLE] Backward Divided Difference [MAPLE] Central Divided Difference [MAPLE] Continuous functions Second Order Derivative [MAPLE]
Discrete functions [MAPLE]
Nonlinear Equations
Method [MAPLE] Convergence [MAPLE] Pitfall: Slow convergence of bisection method simulation [MAPLE]
Method [MAPLE] Convergence [MAPLE] Pitfall: Division by zero [MAPLE] Pitfall: Slow Convergence at Inflection Points [MAPLE] Pitfall: Root jumps over several roots [MAPLE] Pitfall: Roots oscillates around local maxima and minima [MAPLE]
Simulation of secant method [MAPLE] Convergence Simulation of secant method [MAPLE] Pitfall: Division by zero in secant method simulation [MAPLE] Pitfall: Root jumps over several roots in secant method [MAPLE]
Simultaneous Linear Equations
Method [MAPLE]
Method [MAPLE] Convergence [MAPLE]
Method [MAPLE]
Interpolation
Method [MAPLE]
Newton’s Divided Difference Method
Method [MAPLE]
Method [MAPLE]
Method [MAPLE]
Regression
Method [MAPLE]
Without Data Linearization [MAPLE] With Data Linearization [MAPLE] Polynomial Regression [MAPLE] Comparing with and without Data Linearization [MAPLE]
Adequacy of a Regression Model
Adequacy [MAPLE]
Integration
Method [MAPLE] Convergence [MAPLE]
Method [MAPLE] Convergence [MAPLE]
Method [MAPLE] Convergence [MAPLE]
Method [MAPLE] Convergence [MAPLE]
Integrating Discrete Functions
Integrating discrete functions [MAPLE]
Ordinary Differential Equations
Method [MAPLE] Convergence [MAPLE]
Method [MAPLE] Convergence [MAPLE]
Method [MAPLE] Convergence [MAPLE]
Method [MAPLE]
Method [MAPLE]
Optimization
Method [MAPLE]
Method [MAPLE]
Multidimensional Direct Search Method
Method [MAPLE]
Multidimensional Gradient Method
Method [MAPLE]
Partial Differential Equations
Parabolic Partial Differential Equations
Explicit Method [MAPLE] Implicit Method Parabolic PDEs [MAPLE] Crank Nicolson Method Parabolic PDEs [MAPLE]
Elliptic Partial Differential Equations
Direct Method [MAPLE] Gauss-Seidel Method [MAPLE] Lieberman Method [MAPLE]