15.1 - Overview of Multistep Methods
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define multistep methods in your own words.
💡 Hint: Think about how these methods leverage past computations.
What is the main benefit of using multistep methods?
💡 Hint: Consider efficiency in solving ODEs over long periods.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main purpose of multistep methods?
💡 Hint: Think about the efficiency in solving differential equations.
True or false: The Adams–Bashforth method is an example of an implicit method.
💡 Hint: Recall the definitions of explicit and implicit methods.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given the differential equation dy/dx = y + x and the initial condition y(0) = 1, calculate y(0.5) using a 2-step Adams-Bashforth method after getting the first two values through a single-step method.
💡 Hint: Ensure accuracy in your function evaluations.
How would you demonstrate the stability of chosen step sizes across multiple runs of a numerical solution problem using the Adams-Bashforth method?
💡 Hint: Focus on error analysis between varying step sizes.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.