Newmark-Beta vs Predictor Corrector

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SUMMARY

The Newmark-Beta method is a numerical technique specifically designed for integrating coupled, second-order differential equations. It is distinct from the Predictor Corrector method, although some implementations of Newmark may utilize a predictor/corrector approach for enhanced accuracy. The confusion arises from the simultaneous learning of both methods, leading to the misconception that they are synonymous. Key resources include the Wikipedia page on Newmark-Beta and the OpenSees wiki, which clarify the differences between these methods.

PREREQUISITES
  • Understanding of numerical methods for differential equations
  • Familiarity with the Newmark-Beta method
  • Knowledge of predictor/corrector algorithms
  • Basic proficiency in computational programming for numerical simulations
NEXT STEPS
  • Study the implementation of the Newmark-Beta method in various numerical software
  • Explore the differences between predictor/corrector methods and other integration techniques
  • Learn about stability and convergence analysis in numerical methods
  • Investigate advanced applications of Newmark-Beta in structural dynamics
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Students and professionals in engineering, particularly those focusing on numerical analysis, structural dynamics, and computational methods for differential equations.

JTC
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Hello,

I am teaching myself various numerical methods for integrating coupled, second order differential equations.
I am looking at Newmark-Beta methods

Sometimes I see Newmark Beta implemented as a predictor/corrector method.
Sometimes I see just Newmark methods alone.

And I get confused.

What IS the Newmark Beta method?
Is it so inextricably tied to the notion of predictor corrector that it is one and the same?

Or, are some of the sources just applying a "predictor/corrector" improvement on TOP of the Newmark scheme.

Here is a statement of Newmark (and I see no reference to predictor corrector)
https://en.wikipedia.org/wiki/Newmark-beta_method

Here is a statement of Newmark that launches right into prediction and correction
http://opensees.berkeley.edu/wiki/index.php/Newmark_Method

What is the Newmark method?
 
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Sorry...

Thanks for the bump, but I figured it out a few days later, and forgot about this post

My assumption was correct...

The Newmark Method (NM) is NOT the same a a Predictor Corrector (PC). I just happened to have LEARNED about both at the same time where NM was implemented in a PC style.
 

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