4. Multistep Methods: Derivation through Integration

Learning Objectives:

After completing this chapter you should be able to:

• Derive a linear multistep method by integration;

• Identify the order of accuracy of a linear multistep method;

• Differentiate between explicit and implicit methods;

• Apply Predictor-Corrector methods to solve initial value problems.

• 4.1. Multistep Methods
• 4.2. Derivation of Multistep Methods by Numerical Integration
• 4.3. Explicit Multistep Methods
• 4.4. Implicit Multistep Methods
• 4.5. Predictor-Corrector Methods
• 4.6. Computer Programs
• 4.7. Chapter 4 Exercises