Introduction to Numerical Methods and Software with C++

Contents

• Introduction. Motivation. Story in a Nutshell
• Essential Computer Arithmetic
• Scalar Case
  
  • Models
  • Simulation
    
    • Explicit Euler Method
    • Implicit Euler Method
      
      • Bisection Method
      • Newton Method
  • Optimization
    
    • Bisection Method
    • Gradient Descent Method
      
      • Symbolic Differentiation
      • Finite Differences
      • Algorithmic Differentiation (with dco/c++)
    • Linear Regression Methods
      • Normal Equation Method
      • Householder Method
    • Newton Method
    • Nonlinear Regression Methods
      • Normal Equation Method
      • Householder Method
• Vector Case (all of the above)