7. Numeric Integration#
Chapter Learning Objectives
Numerically approximate definite integrals and solve initial value problems
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