7. Numeric Integration

Chapter Learning Objectives

1. Numerically approximate definite integrals and solve initial value problems

2. Choose the most appropriate numeric integration method based on problem characteristics

Sections

• 7.1. Introduction and Newton-Cotes
• 7.2. Gauss Quadrature
• 7.3. Scipy Library: Adaptive Methods for Newton-Cotes and Gauss Quadrature
• 7.4. Application: Inertial Navigation Systems
• 7.5. Forward and Backward Euler Methods
• 7.6. Crank-Nicolson (Trapezoid Rule)
• 7.7. Stability Analysis
• 7.8. Explicit Range Kutta Method
• 7.9. Systems of Differential Equations and Scipy
• 7.10. Example: Reaction Rates

Coming Soon

• Boundary value problems: shooting

• Boundary value problems: finite difference

• Partial differential equations: method of lines

• Thermodynamics example: integrate Cp correlation to get enthalpy

• Reaction engineering examples

• Transport examples